{"id":34696,"date":"2023-10-04T09:12:17","date_gmt":"2023-10-04T09:12:17","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34696"},"modified":"2023-10-05T12:10:26","modified_gmt":"2023-10-05T12:10:26","slug":"concentric-circles-definition-equation-facts-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles","title":{"rendered":"Concentric Circles &#8211; Definition, Equation, Facts, 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-4055edb6-9693-416d-a363-a6f0e57dea7e\" 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\/concentric-circles#0-what-are-concentric-circles>What&nbsp; Are Concentric Circles?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles#3-examples-of-concentric-circles-around-us>Examples of Concentric Circles Around Us<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles#5-how-to-find-area-of-annulus>How To Find Area of Annulus<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles#10-solved-examples-on-concentric-circles>Solved Examples on Concentric Circles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles#11-practice-problems-on-concentric-circles>Practice Problems on Concentric Circles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles#12-frequently-asked-questions-about-concentric-circles>Frequently Asked Questions about Concentric Circles<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-concentric-circles\">What&nbsp; Are Concentric Circles?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Concentric circles are two or more circles having the same center but different radii.\u00a0<\/strong><br>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">circle<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\">two-dimensional geometric figure<\/a> which is defined as the collection of all points that are equidistant from a fixed point called the center, and the fixed distance is called the radius of a circle. All circles are similar since they have the same shape but different sizes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If you draw two circles with different radii keeping the same center, you get concentric circles! Note that circles are not concentric if they have a different center.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"665\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles.png\" alt=\"Concentric circles\" class=\"wp-image-34699\" title=\"Concentric circles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-280x300.png 280w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\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\/identify-circles-and-rectangles\" 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\/geometry_circles_rectangles_pt.png\" alt=\"Identify Circles and Rectangles 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\">Identify Circles and Rectangles 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\/match-rectangles-and-circles\" 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\/geometry_amusement_park_3_6_gm.png\" alt=\"Match Rectangles and Circles 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\">Match Rectangles and Circles 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-concentric-circles-definition\">Concentric Circles Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Concentric circles are a set of circles with the same center, but different radii such that they appear nested inside one another.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"522\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-.png\" alt=\"Concentric circles\" class=\"wp-image-34700\" title=\"Concentric circles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles--300x253.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/squares-and-circles\" 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\/squares-and-circles.jpeg\" alt=\"Squares and Circles 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-equations-of-two-concentric-circles\">Equations of Two Concentric Circles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">We know that concentric circles have the same center but different radii.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The equation of a circle with center (h, k) and radius r is given by<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$(x\\;-\\;h)^{2} + (y\\;-\\;k)^{2} = r^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The equation of a circle with radius $r_{1}$ that is concentric with this circle is given by\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$(x\\;-\\;h)^{2} + (y\\;-\\;k)^{2} = r_{1}^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-examples-of-concentric-circles-around-us\">Examples of Concentric Circles Around Us<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Some examples of concentric circles in real life are dartboard, ripples made when a stone is dropped in the water, and wheels of a ship.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here are some concentric circles examples around us!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"707\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-around-you.png\" alt=\"Concentric circles around you\" class=\"wp-image-34701\" title=\"Concentric circles around you\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-around-you.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-around-you-263x300.png 263w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-annulus-the-region-between-concentric-circles\">Annulus: The Region Between Concentric Circles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The region which is formed between two concentric circles is known as an annulus. It is shaped like a flat ring or a donut.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The shaded part shows the annulus in the following figure:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"465\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/annulus-formed-by-two-concentric-circles.png\" alt=\"Annulus formed by two concentric circles\" class=\"wp-image-34702\" title=\"Annulus formed by two concentric circles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/annulus-formed-by-two-concentric-circles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/annulus-formed-by-two-concentric-circles-300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-how-to-find-area-of-annulus\">How To Find Area of Annulus<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The formula for finding the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\">area<\/a> of the annulus is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area $= \\pi (R^{2}\\;-\\;r^{2})$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">where<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R: radius of outer circle<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R: radius of inner circle<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"488\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/area-of-annulus.png\" alt=\"Area of annulus\" class=\"wp-image-34703\" title=\"Area of annulus\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/area-of-annulus.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/area-of-annulus-300x236.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-derivation-of-area-of-annulus\">Derivation of Area of Annulus<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Let the radius of smaller i.e., orange circle be r units and radius of the bigger circle be R units.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of the smaller circle $= \\pi r^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of the bigger circle $= \\pi R^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of annulus = Area of bigger circle \u2013 Area of smaller circle<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of annulus $=\\pi R^{2}\\;-\\;r^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of annulus $= (R^{2} \\;-\\; r^{2})$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-concentric-circles-%E2%80%93-theorem\">Concentric Circles \u2013 Theorem<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Statement: <\/strong>In two concentric circles, if the chord of the larger circle is a tangent to the smaller circle (touches the smaller circle), then it is bisected at the point of contact.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"502\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-theorem.png\" alt=\"Concentric circles theorem\" class=\"wp-image-34704\" title=\"Concentric circles theorem\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-theorem.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-theorem-300x243.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Given: <\/strong>Consider two concentric circles $C_{1}$ and $C_{2}$, with center O and a chord AB of the larger circle $C_{1}$, touching the smaller circle $C_{2}$ at the point P<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Construction: Join OP.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>To prove: <\/strong>AP = BP<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Proof:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AB is the chord of larger circle $C_{1}$. It is a tangent to $C_{2}$ at point P.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">OP is the radius of circle $C_{2}$.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that the radius is perpendicular to the tangent at the point of contact.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, OP \u22a5 AB&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, AB is a chord of the circle $C_{1}$ and OP \u22a5 AB.\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that the perpendicular from the center of a circle bisects the chord.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, OP is the bisector of the chord AB.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, AP = BP.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-what-are-concentric-objects\">What Are Concentric Objects?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The objects are said to be concentric if they share a common center. <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\">Polygons<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">circles<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/sphere\">spheres<\/a> etc are said to be concentric when they share the same center point.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"700\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/l-concentric-shapes.png\" alt=\"L Concentric shapes\" class=\"wp-image-34705\" title=\"L Concentric shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/l-concentric-shapes.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/l-concentric-shapes-266x300.png 266w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we learned about concentric circles, which are circles that share the same center point but have different radii. Understanding their properties helps us analyze geometric relationships. Let&#8217;s solve a few examples and practice MCQs for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-concentric-circles\">Solved Examples on Concentric Circles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Draw two concentric circles with the center O such that the radius of the smaller circle is 2 inches and the radius of the bigger radius is 5 inches.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"271\" height=\"271\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-2-in-and-5-in.png\" alt=\"Concentric circles with radii 2 in and 5 in\" class=\"wp-image-34706\" title=\"Concentric circles with radii 2 in and 5 in\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-2-in-and-5-in.png 271w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-2-in-and-5-in-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-2-in-and-5-in-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-2-in-and-5-in-120x120.png 120w\" sizes=\"auto, (max-width: 271px) 100vw, 271px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Find the width of the annulus if the radius of the bigger circle is 8 feet and the radius of the smaller circle is 5 feet.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of the bigger circle (R) = 8 feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of the smaller circle (r) = 5 feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Width $= R\\;-\\;r = 8\\;-\\;5 = 3$ feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. If the width of annulus is 7 inches and the radius of the bigger circle is 12 inches, then what is the radius of the smaller circle?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of the bigger circle (R) = 12 inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Width of the annulus = 7 inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of the smaller circle (r) = 12 \u2013 7 = 5 inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. Find the area of the shaded region.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"285\" height=\"271\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-3-and-5-units.png\" alt=\"Concentric circles with radii 3 and 5 units\" class=\"wp-image-34707\" title=\"Concentric circles with radii 3 and 5 units\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of outer circle (R) = 5 units<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of inner circle (r) = 3 units<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of the path $= (R^{2} \\;-\\; r^{2})$\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$= \\frac{22}{7} \\times (5^{2}\\;-\\;3^{2})$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$= \\frac{22}{7} \\times (25\\;-\\;9)$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$= \\frac{22}{7} \\times 16$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 50.28 square feet\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>5. If the area of annulus is 2618 square inches and the radius of the smaller circle is 56 inches, then what is the radius of the bigger circle?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of the annulus = 2618 square inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of smaller circle (r) = 56 inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let the radius of bigger circle be R inches.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of the annulus $= \\pi (R^{2}\\;-\\;r^{2})$\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$2618 = \\frac{22}{7} \\times (R^{2} \\;-\\; 56^{2})$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$2618 \\times \\frac{7}{22} = R^{2}\\;-\\;56^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$833 = R^{2}\\;-\\;3136$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$R^{2} = 833 + 3136$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$R^{2} = 3969$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R=63 inches<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-concentric-circles\">Practice Problems on Concentric Circles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Concentric Circles - Definition, Equation, Facts, 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\">Two circles are said to be concentric if they have a common ____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">radii<\/div><div class=\"spq_answer_block\" data-value=\"1\">center<\/div><div class=\"spq_answer_block\" data-value=\"2\">diameter<\/div><div class=\"spq_answer_block\" data-value=\"3\">chord<\/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: center<br\/>Two circles are said to be concentric if they have a common center.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the width of the annulus in the following figure?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-10-in-and-20-in.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">40 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">30 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">20 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 inches<\/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: 10 inches<br\/>Width of annulus = 20 \u2013 10 = 10 inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the area of annulus if the outer and inner radii are 15 inches and 8 inches respectively?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">464 square inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">504 square inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">506 square inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">604 square inches<\/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: 506 square inches<br\/>Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $= \\pi (R^{2}\\;-\\;r^{2}) = \\frac{22}{7} \\times (15^{2}\\;-\\;8^{2}) = \\frac{2}{27} \\times (225\\;-\\;64) = \\frac{22}{7} \\times 181 = 504$ square inches<\/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\": \"Concentric Circles - Definition, Equation, Facts, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Concentric Circles\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Two circles are said to be concentric if they have a common ____.\",\n                    \"text\": \"Two circles are said to be concentric if they have a common ____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Two circles are said to be concentric if they have a common center.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"radii\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two circles are said to be concentric if they have a common center.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"diameter\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two circles are said to be concentric if they have a common center.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"chord\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Two circles are said to be concentric if they have a common center.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"center\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Two circles are said to be concentric if they have a common center.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Two circles are said to be concentric if they have a common center.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the width of the annulus in the following figure?\",\n                    \"text\": \"What is the width of the annulus in the following figure? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/concentric-circles-with-radii-10-in-and-20-in.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Width of annulus = 20 \u2013 10 = 10 inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Width of annulus = 20 \u2013 10 = 10 inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Width of annulus = 20 \u2013 10 = 10 inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Width of annulus = 20 \u2013 10 = 10 inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Width of annulus = 20 \u2013 10 = 10 inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Width of annulus = 20 \u2013 10 = 10 inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of annulus if the outer and inner radii are 15 inches and 8 inches respectively?\",\n                    \"text\": \"What is the area of annulus if the outer and inner radii are 15 inches and 8 inches respectively?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $$= \\\\pi (R^{2}\\\\;-\\\\;r^{2}) = \\\\frac{22}{7} \\\\times (15^{2}\\\\;-\\\\;8^{2}) = \\\\frac{2}{27} \\\\times (225\\\\;-\\\\;64) = \\\\frac{22}{7} \\\\times 181 = 504$$ square inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"464 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $$= \\\\pi (R^{2}\\\\;-\\\\;r^{2}) = \\\\frac{22}{7} \\\\times (15^{2}\\\\;-\\\\;8^{2}) = \\\\frac{2}{27} \\\\times (225\\\\;-\\\\;64) = \\\\frac{22}{7} \\\\times 181 = 504$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"504 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $$= \\\\pi (R^{2}\\\\;-\\\\;r^{2}) = \\\\frac{22}{7} \\\\times (15^{2}\\\\;-\\\\;8^{2}) = \\\\frac{2}{27} \\\\times (225\\\\;-\\\\;64) = \\\\frac{22}{7} \\\\times 181 = 504$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"604 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $$= \\\\pi (R^{2}\\\\;-\\\\;r^{2}) = \\\\frac{22}{7} \\\\times (15^{2}\\\\;-\\\\;8^{2}) = \\\\frac{2}{27} \\\\times (225\\\\;-\\\\;64) = \\\\frac{22}{7} \\\\times 181 = 504$$ square inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"506 square inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $$= \\\\pi (R^{2}\\\\;-\\\\;r^{2}) = \\\\frac{22}{7} \\\\times (15^{2}\\\\;-\\\\;8^{2}) = \\\\frac{2}{27} \\\\times (225\\\\;-\\\\;64) = \\\\frac{22}{7} \\\\times 181 = 504$$ square inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Outer radii (R) = 15 inches<br>\r\nInner radii (r) = 8 inches<br>\r\nArea of annulus $$= \\\\pi (R^{2}\\\\;-\\\\;r^{2}) = \\\\frac{22}{7} \\\\times (15^{2}\\\\;-\\\\;8^{2}) = \\\\frac{2}{27} \\\\times (225\\\\;-\\\\;64) = \\\\frac{22}{7} \\\\times 181 = 504$$ square inches\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-about-concentric-circles\">Frequently Asked Questions about Concentric Circles<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\" 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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\"><strong>Do concentric circles have the same perimeter?<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\">\n\n<p class=\"wp-block-paragraph\">No, the concentric circles do not have the same perimeter since their radii are different.<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\"><strong>What is the difference between concentric and congruent circles?<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\">\n\n<p class=\"wp-block-paragraph\">Concentric circles are the circles that share the common center and congruent circles are the circles that have the same radii.<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\"><strong>How To Draw Concentric Circles?<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\">\n\n<p class=\"wp-block-paragraph\">You can draw concentric circles diagram using a compass, keeping the same center but taking two different radii.<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\"><strong>What is the difference between concentric circles and eccentric circles?<\/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-e6fb4ba3-e5af-42de-a507-4f63f7bde3f2\">\n\n<p class=\"wp-block-paragraph\">Concentric Circles are the circles that share a common center. On the other hand, eccentric circles are the circles that do not share the common center and do not intersect also.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What&nbsp; Are Concentric Circles? Concentric circles are two or more circles having the same center but different radii.\u00a0A circle is a two-dimensional geometric figure which is defined as the collection of all points that are equidistant from a fixed point called the center, and the fixed distance is called the radius of a circle. All &#8230; <a title=\"Concentric Circles &#8211; Definition, Equation, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/concentric-circles\" aria-label=\"More on Concentric Circles &#8211; Definition, Equation, Facts, 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-34696","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\/34696","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=34696"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34696\/revisions"}],"predecessor-version":[{"id":34719,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34696\/revisions\/34719"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34696"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34696"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34696"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}