{"id":34265,"date":"2023-09-24T17:03:35","date_gmt":"2023-09-24T17:03:35","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34265"},"modified":"2023-09-24T17:25:48","modified_gmt":"2023-09-24T17:25:48","slug":"area-of-sector-of-a-circle-definition-formula-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector","title":{"rendered":"Area of Sector of a Circle &#8211; Definition, Formula, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-a35dec50-e5de-4a5c-8c3b-3b6754e7c6b1\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector#0-what-is-the-area-of-a-sector>What Is the Area of a Sector?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector#2-how-to-calculate-the-area-of-a-sector>How to Calculate the Area of a Sector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector#3-area-of-a-sector-formula-derivation>Area of a Sector Formula: Derivation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector#8-solved-examples-on-area-of-a-sector>Solved Examples on Area of a Sector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector#9-practice-problems-on-area-of-a-sector>Practice Problems on Area of a Sector<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector#10-frequently-asked-questions-on-area-of-a-sector>Frequently Asked Questions on Area of a Sector<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-area-of-a-sector\">What Is the Area of a Sector?<\/h2>\n\n\n\n<p><strong>The area of a sector is the area of the region enclosed by an arc and two radii of a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\"><strong>circle<\/strong><\/a><strong>. It represents a part of the area of a circle. Area of a sector is measured in square units, depending on the unit of the radius.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"514\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-of-a-circle.png\" alt=\"Sector of a circle\" class=\"wp-image-34269\" title=\"Sector of a circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-of-a-circle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-of-a-circle-300x249.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>What Is the Sector of a Circle?<\/strong><\/p>\n\n\n\n<p>A sector is a part of a circle made of the arc of the circle along with its two radii. In the given diagram, the yellow region represents the sector of the circle. It is formed by two radii and an arc. The angle is the angle made by the sector at the center.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-to-find-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_find_area_pt.png\" alt=\"Add to Find the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add to Find the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-of-composite-figure\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_10_gm.png\" alt=\"Area of Composite Figure Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area of Composite Figure Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area with Unit Squares and Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_3_4_5_gm.png\" alt=\"Build the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Build the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-area-of-rectilinear-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_rectilinear_shapes_pt.png\" alt=\"Determine the Area of Rectilinear Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Area of Rectilinear Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-by-multiplying-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multi_side_length_1_pt.png\" alt=\"Find Area by Multiplying Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area by Multiplying Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-in-square-units\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area in Square Units Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-by-multiplying-the-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_multiply_pt.png\" alt=\"Find the Area by Multiplying the Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area by Multiplying the Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-of-shapes-using-unit-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_square_side_length_pt.png\" alt=\"Find the Area of Shapes Using Unit Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area of Shapes Using Unit Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-area-of-a-sector-formulas\">Area of a Sector: Formulas<\/h2>\n\n\n\n<p>1) The formula to calculate the <strong>area of a sector<\/strong> <strong>of a circle<\/strong> when \u03b8 is in degrees is given by:<\/p>\n\n\n\n<p><strong>Area&nbsp; of a sector <\/strong>$= \\frac{\u03b8}{360^{\\circ}} \\times \\pi r^{2}$<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u03b8 is the angle of the sector in degrees (angle subtended by the arc at the center)<\/li>\n\n\n\n<li>r is the radius of the circle<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-sector-when-central-angle-is-in-degrees.png\" alt=\"Area of sector when central angle is in degrees\" class=\"wp-image-34270\" title=\"Area of sector when central angle is in degrees\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-sector-when-central-angle-is-in-degrees.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-sector-when-central-angle-is-in-degrees-300x172.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><em>(Note: In the above diagram, the term \u2018degrees\u2019 simply signifies that this formula for the area of a sector is to be used when the central angle is given in degrees.)<\/em><\/p>\n\n\n\n<p>2) The formula to calculate the <strong>area of a sector<\/strong> <strong>of a circle<\/strong> when \u03b8 is in radians is given by:<\/p>\n\n\n\n<p><strong>Area&nbsp; of a sector <\/strong>$=(\\frac{\u03b8}{2}) \\times r^{2}$<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u03b8 is the angle of the sector in radians<\/li>\n\n\n\n<li>r is the radius of the circle<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"384\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-sector-formula-in-radians.png\" alt=\"Area of sector formula in radians\" class=\"wp-image-34271\" title=\"Area of sector formula in radians\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-sector-formula-in-radians.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-sector-formula-in-radians-300x186.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><em>(Note: In the above diagram, the term \u2018radians\u2019 simply signifies that this formula for the area of a sector is to be used when the central angle is in radians.)<\/em><\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-fractions-using-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-fractions-using-area-model.jpeg\" alt=\"Compare Fractions Using Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-area-model.jpeg\" alt=\"Complete the Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-equation-for-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-equation-for-the-area-model.jpeg\" alt=\"Complete the Equation for the Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/convert-mixed-numbers-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/convert-mixed-numbers-using-area-models.jpeg\" alt=\"Convert Mixed Numbers Using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/create-area-models-to-multiply-unit-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/create-area-models-to-multiply-unit-fractions.jpeg\" alt=\"Create Area Models to Multiply Unit Fractions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/create-equivalent-fractions-using-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/create-equivalent-fractions-using-area-model.jpeg\" alt=\"Create Equivalent Fractions using Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/draw-area-models-to-multiply-unit-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/draw-area-models-to-multiply-unit-fractions.jpeg\" alt=\"Draw Area Models to Multiply Unit Fractions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-calculate-the-area-of-a-sector\">How to Calculate the Area of a Sector<\/h2>\n\n\n\n<p>Consider these steps to determine a sector&#8217;s <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\">area<\/a>:<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Note down the radius and the central angle () of the sector.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>If the angle is in degrees, then substitute the values in the formula<\/p>\n\n\n\n<p>Area $= (\\frac{\u03b8}{360^{\\circ}}) \\times \\pi r^{2}$<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>If the angle is in radians, then substitute the values in the formula<\/p>\n\n\n\n<p>Area $= (\\frac{\u03b8}{2}) \\times r^{2}$<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> The area is measured in square units. Assign the appropriate unit.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-area-of-a-sector-formula-derivation\">Area of a Sector Formula: Derivation<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-a-circle-and-area-of-sector.png\" alt=\"Area of a circle and area of sector\" class=\"wp-image-34272\" title=\"Area of a circle and area of sector\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-a-circle-and-area-of-sector.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/area-of-a-circle-and-area-of-sector-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>When angle is in degrees:<\/strong><\/p>\n\n\n\n<p>The angle made by a complete circle around the center is $\u03b8 = 360^{\\circ}$<strong>.<\/strong><\/p>\n\n\n\n<p>Area of circle with radius $r&nbsp; = \\pi r^{2}$<\/p>\n\n\n\n<p>There\u2019s a direct relationship between the central angle and area.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Central angle ()<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Area&nbsp;<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">$360^{\\circ}$<\/td><td class=\"has-text-align-left\" data-align=\"left\">$\\pi r^{2}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u03b8<\/td><td class=\"has-text-align-left\" data-align=\"left\">$A = ?$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>$\\frac{Area\\; of \\;a\\; sector}{Area \\;of\\; a \\;circle} = \\frac{Central \\;Angle}{360^{\\circ}}$<\/p>\n\n\n\n<p>$\\frac{A}{ \\pi r^{2}} = 360^{\\circ}$<\/p>\n\n\n\n<p>$A = \\frac{\u03b8}{360^{\\circ}} \\times \\pi r^{2}$<\/p>\n\n\n\n<p><strong>When angle is in radians:<\/strong><\/p>\n\n\n\n<p>The angle made by a complete circle around the center is $\u03b8 = 2\\pi$<strong>.<\/strong><\/p>\n\n\n\n<p>Area of circle with radius $r&nbsp; = \\pi r^{2}$<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Central angle ()<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Area&nbsp;<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">$2\\pi$<\/td><td class=\"has-text-align-left\" data-align=\"left\">$\\pi r^{2}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">\u03b8<\/td><td class=\"has-text-align-left\" data-align=\"left\">A = ?<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>$\\frac{Area \\;of \\;a \\;sector}{Area\\; of \\;a \\;circle} = \\frac{Central\\; Angle}{2\\pi}$<\/p>\n\n\n\n<p>$\\frac{A}{\\pi r^{2}} = \\frac{\u03b8}{2\\pi}$<\/p>\n\n\n\n<p>$A = \\frac{\u03b8}{2\\pi} \\times \\pi r^{2}$<\/p>\n\n\n\n<p>$A = \\frac{\u03b8}{2} \\times r^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-area-of-a-sector-in-degrees\">Area of a Sector in Degrees<\/h2>\n\n\n\n<p>The area of a sector when the central angle (\u03b8) is expressed in degrees, is given by<\/p>\n\n\n\n<p>$Area = (\\frac{\u03b8}{360^{\\circ}}) \\times \\pi r^{2}$<\/p>\n\n\n\n<p><strong>Example: Find the area of the given sector.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-with-angle-45-degrees-and-radius-5-units.png\" alt=\"Sector with angle 45 degrees and radius 5 units\" class=\"wp-image-34273\" title=\"Sector with angle 45 degrees and radius 5 units\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-with-angle-45-degrees-and-radius-5-units.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-with-angle-45-degrees-and-radius-5-units-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>$r = 5$ units<\/p>\n\n\n\n<p>$= 45^{\\circ}$ <\/p>\n\n\n\n<p>Area $= (\\frac{\u03b8}{360^{\\circ}}) \\times \\pi r^{2}$<\/p>\n\n\n\n<p>Area $= (\\frac{45^{\\circ}}{360^{\\circ}}) \\times \\pi (5)^{2}$<\/p>\n\n\n\n<p>Area $= \\frac{1}{8} \\times 3.14 \\times 25$<\/p>\n\n\n\n<p>Area $= 9.8125$<strong> <\/strong>square units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-area-of-a-sector-in-radians\">Area of a Sector in Radians<\/h2>\n\n\n\n<p>The area of a sector when the central angle (\u03b8) is expressed in degrees, is given by<\/p>\n\n\n\n<p>Area<strong> <\/strong>$= (\\frac{\u03b8}{2}) \\times r^{2}$<\/p>\n\n\n\n<p><strong>Example: Find the area of the sector of the circle. (Use <\/strong>$\\pi = 3.14$<strong>).<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-with-angle-4-degrees-and-radius-7-units.png\" alt=\"Sector with angle \/4 degrees and radius 7 units\" class=\"wp-image-34274\" title=\"Sector with angle \/4 degrees and radius 7 units\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-with-angle-4-degrees-and-radius-7-units.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/sector-with-angle-4-degrees-and-radius-7-units-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Area<strong> <\/strong>$= (\\frac{\\pi}{4 \\times 2}) \\times (7)^{2}$<\/p>\n\n\n\n<p>Area<strong> <\/strong>$= (\\frac{3.14}{4 \\times 2}) \\times (7)^{2}$<\/p>\n\n\n\n<p>Area<strong> <\/strong>= 19.2325 square units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-area-of-a-sector\">Facts about Area of a Sector<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The area of a sector is directly proportional to the central angle. The area of a sector increases as the central angle increases.<\/li>\n\n\n\n<li>The area of a sector is always proportional to the square of the radius.<\/li>\n\n\n\n<li>The maximum area a sector can have is when the central angle is 360 degrees, which corresponds to the entire circle. In this case, the area of the sector is equal to the area of the whole circle. Thus, a circle is a sector with a central angle of 360 degrees and area of&nbsp;<\/li>\n\n\n\n<li>$\\pi r^{2}$<strong>.<\/strong>&nbsp;<\/li>\n\n\n\n<li>A semicircle is a sector with a central angle of 180 degrees. Its area if half the area of a circle, given by $\\frac{\\pi r^{2}}{2}$.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the area of a sector, its formulas, and also the derivation of the formulas. Let\u2019s solve a few examples and MCQs for practice.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-area-of-a-sector\">Solved Examples on Area of a Sector<\/h2>\n\n\n\n<p><strong>Example 1: Find the area of the sector in terms of <\/strong>\u03c0<strong> if the circle has a radius of 8 units and a central angle of 45 degrees.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Using the formula for sector area, we write&nbsp;<\/p>\n\n\n\n<p>Area<strong>&nbsp; <\/strong>$= \\frac{\u03b8}{360^{\\circ}} \\times \\pi r^{2}$<\/p>\n\n\n\n<p>Here, $r = 8$ units, $\u03b8 =45^{\\circ}$<\/p>\n\n\n\n<p>Area $= \\frac{45^{\\circ}}{360^{\\circ}} \\times \u03c0 \\times 8^{2}$<\/p>\n\n\n\n<p>Area $= (\\frac{1}{8}) \\times \u03c0 \\times 64$<\/p>\n\n\n\n<p>Area $= 8\u03c0$ square units<\/p>\n\n\n\n<p><strong>Example 2: A sector has a radius of 12 units and a central angle of 90 degrees. Calculate the area of the sector.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Area<strong>&nbsp; <\/strong>$= \\frac{\u03b8}{360^{\\circ}} \\times \\pi r^{2}$<\/p>\n\n\n\n<p>Here, $r = 12$ units, $\u03b8 = 90^{\\circ}$<\/p>\n\n\n\n<p>Area $= \\frac{90^{\\circ}}{360^{\\circ}} \\times \u03c0 \\times 12^{2}$<\/p>\n\n\n\n<p>Area $= \\frac{1}{4} \\times \u03c0 \\times 144$<\/p>\n\n\n\n<p>Area $= 36\u03c0$<\/p>\n\n\n\n<p>Area = 113.04 square units<\/p>\n\n\n\n<p><strong>Example 3: A sector has an area of 16\u03c0 square units and a radius of 4 units. Find the central angle of the sector in radians.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>&nbsp;$r = 4$ units<\/p>\n\n\n\n<p>Area of sector $= 16\u03c0$ square units<\/p>\n\n\n\n<p>Area of sector $= (\\frac{\u03b8}{2}) \\times r^{\\circ}$<\/p>\n\n\n\n<p>$16\u03c0 = (\\frac{\u03b8}{2}) \\times (4)^{2}$<\/p>\n\n\n\n<p>$16\u03c0 = (\\frac{\u03b8}{2}) \\times 16$<\/p>\n\n\n\n<p>\\frac{\u03b8}{2} = \u03c0$<\/p>\n\n\n\n<p>$\u03b8 = 2\u03c0$<\/p>\n\n\n\n<p>Central angle is 2\u03c0. It means that the given area is the area of the whole circle with radius 4 units.<\/p>\n\n\n\n<p><strong>Example 4: Find the area of a sector with a central angle of 60 degrees and a radius of 10 units.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Area $= (\\frac{\u03b8}{360^{\\circ}}) \\times \\pi r^{2}$<\/p>\n\n\n\n<p>Area $= (\\frac{60^{\\circ}}{360^{\\circ}}) \\times \u03c0 \\times 10^{2}$&nbsp;<\/p>\n\n\n\n<p>Area $= (\\frac{1}{6}) \\times \u03c0 \\times 100$<\/p>\n\n\n\n<p>Area $= 52.33$ square units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-area-of-a-sector\">Practice Problems on Area of a Sector<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area of Sector of a Circle - Definition, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">A sector has a radius of 12 units and a central angle of 60 degrees. What is the area of the sector?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">144\u03c0 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"1\">72\u03c0 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"2\">36\u03c0 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"3\">18\u03c0 cm\u00b2<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 72\u03c0 cm\u00b2<br\/>Area $= \\frac{\\theta}{360^{\\circ}} \\times \\pi r^{2}$<br>\r\nArea $= \\frac{60^{\\circ}}{360^{\\circ}} \\times \\pi \\times 144$<br>\r\nArea $= 24\u03c0$ square units<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The area of a sector when the central angle is given in degrees is given by<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Area $= \\frac{\\theta}{360^{\\circ}} \\times 2\\pi r$<\/div><div class=\"spq_answer_block\" data-value=\"1\">Area $= \\frac{\\theta}{90^{\\circ}} \\times \\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">Area $= \\frac{\\theta}{360^{\\circ}} \\times \\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">Area $= \\frac{\\theta}{180^{\\circ}} \\times \\pi r^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Area $= \\frac{\\theta}{360^{\\circ}} \\times \\pi r^{2}$<br\/>Area of sector $= \\frac{\\theta}{360^{\\circ}} \\pi r^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">A sector has an area of 8\u03c0 square units and a radius of 4 units. What is the central angle of the sector?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">30 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">45 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">60 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">180 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 180 degrees<br\/>Area of sector $= \\frac{\\theta}{360^{\\circ}} \\times \\pi r^{2}$<br>\r\n$8\u03c0 = \\frac{\\theta}{360^{\\circ}} \\times \\pi \\times 16$<br>\r\n$\\frac{1}{2} = \\frac{\\theta}{360^{\\circ}}$<br>\r\n$\\theta = 180^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The area of a quarter circle is ___ times the area of a circle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">four<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">two<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{4}$<br\/>The area of a quarter circle is $\\frac{1}{4}$ times the area of a circle.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Area of Sector of a Circle - Definition, Formula, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area of Sector of a Circle\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A sector has a radius of 12 units and a central angle of 60 degrees. What is the area of the sector?\",\n                    \"text\": \"A sector has a radius of 12 units and a central angle of 60 degrees. What is the area of the sector?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\nArea $$= \\\\frac{60^{\\\\circ}}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 144$$<br>\r\nArea $$= 24\u03c0$$ square units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"144\u03c0 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\nArea $$= \\\\frac{60^{\\\\circ}}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 144$$<br>\r\nArea $$= 24\u03c0$$ square units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"36\u03c0 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\nArea $$= \\\\frac{60^{\\\\circ}}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 144$$<br>\r\nArea $$= 24\u03c0$$ square units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18\u03c0 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\nArea $$= \\\\frac{60^{\\\\circ}}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 144$$<br>\r\nArea $$= 24\u03c0$$ square units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"72\u03c0 cm\u00b2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\nArea $$= \\\\frac{60^{\\\\circ}}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 144$$<br>\r\nArea $$= 24\u03c0$$ square units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\nArea $$= \\\\frac{60^{\\\\circ}}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 144$$<br>\r\nArea $$= 24\u03c0$$ square units\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a sector when the central angle is given in degrees is given by\",\n                    \"text\": \"The area of a sector when the central angle is given in degrees is given by\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\pi r^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times 2\\\\pi r$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Area $$= \\\\frac{\\\\theta}{90^{\\\\circ}} \\\\times \\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Area $$= \\\\frac{\\\\theta}{180^{\\\\circ}} \\\\times \\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\pi r^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Area $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\pi r^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\pi r^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A sector has an area of 8\u03c0 square units and a radius of 4 units. What is the central angle of the sector?\",\n                    \"text\": \"A sector has an area of 8\u03c0 square units and a radius of 4 units. What is the central angle of the sector?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\n$$8\u03c0 = \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 16$$<br>\r\n$$\\\\frac{1}{2} = \\\\frac{\\\\theta}{360^{\\\\circ}}$$<br>\r\n$$\\\\theta = 180^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\n$$8\u03c0 = \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 16$$<br>\r\n$$\\\\frac{1}{2} = \\\\frac{\\\\theta}{360^{\\\\circ}}$$<br>\r\n$$\\\\theta = 180^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"45 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\n$$8\u03c0 = \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 16$$<br>\r\n$$\\\\frac{1}{2} = \\\\frac{\\\\theta}{360^{\\\\circ}}$$<br>\r\n$$\\\\theta = 180^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\n$$8\u03c0 = \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 16$$<br>\r\n$$\\\\frac{1}{2} = \\\\frac{\\\\theta}{360^{\\\\circ}}$$<br>\r\n$$\\\\theta = 180^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"180 degrees\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\n$$8\u03c0 = \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 16$$<br>\r\n$$\\\\frac{1}{2} = \\\\frac{\\\\theta}{360^{\\\\circ}}$$<br>\r\n$$\\\\theta = 180^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of sector $$= \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi r^{2}$$<br>\r\n$$8\u03c0 = \\\\frac{\\\\theta}{360^{\\\\circ}} \\\\times \\\\pi \\\\times 16$$<br>\r\n$$\\\\frac{1}{2} = \\\\frac{\\\\theta}{360^{\\\\circ}}$$<br>\r\n$$\\\\theta = 180^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The area of a quarter circle is ___ times the area of a circle.\",\n                    \"text\": \"The area of a quarter circle is ___ times the area of a circle.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The area of a quarter circle is $$\\\\frac{1}{4}$$ times the area of a circle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a quarter circle is $$\\\\frac{1}{4}$$ times the area of a circle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"four\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a quarter circle is $$\\\\frac{1}{4}$$ times the area of a circle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"two\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The area of a quarter circle is $$\\\\frac{1}{4}$$ times the area of a circle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{4}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The area of a quarter circle is $$\\\\frac{1}{4}$$ times the area of a circle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The area of a quarter circle is $$\\\\frac{1}{4}$$ times the area of a circle.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-on-area-of-a-sector\">Frequently Asked Questions on Area of a Sector<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\"><strong>What distinguishes the areas of a sector and a circle, respectively?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\">\n\n<p>A sector&#8217;s area is a fraction of the circle&#8217;s overall area. It is the area that the circle&#8217;s arc and two radii enclose. On the other hand, the term &#8220;<strong>area of a sector of a circle<\/strong>&#8221; describes the entire region that the circle&#8217;s circumference encloses.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\"><strong>Is it possible for a sector&#8217;s size to exceed that of the complete circle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\">\n\n<p>No, a sector cannot have a larger area than the complete circle. Always a piece or proportion of the entire circle, a sector. As a result, its surface area is never greater than or equal to the circles.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\"><strong>How is the formula for a sector&#8217;s area derived?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\">\n\n<p>The <strong>area of sector formula<\/strong> is produced by considering the percentage of the circle&#8217;s angle that it encloses. It is calculated by dividing the angle&#8217;s fraction by the circle&#8217;s whole area. This relationship is denoted by the formula&nbsp; $A_{sec} = (\\frac{\\theta}{360})\\times \\pi \\times  r^{2}$, where the sector&#8217;s central angle and r is the circle&#8217;s diameter.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\"><strong>Can a sector&#8217;s area be negative?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-ae4ba38c-3298-45ed-8b20-edeb0d53f87f\">\n\n<p>A sector&#8217;s area cannot be negative. A region&#8217;s area defines its size, which is always a positive number. Area is a non-negative quantity.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Area of a Sector? The area of a sector is the area of the region enclosed by an arc and two radii of a circle. It represents a part of the area of a circle. Area of a sector is measured in square units, depending on the unit of the radius. What &#8230; <a title=\"Area of Sector of a Circle &#8211; Definition, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-sector\" aria-label=\"More on Area of Sector of a Circle &#8211; Definition, Formula, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34265","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34265","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=34265"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34265\/revisions"}],"predecessor-version":[{"id":34285,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34265\/revisions\/34285"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34265"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34265"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34265"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}