{"id":34773,"date":"2023-10-05T20:48:01","date_gmt":"2023-10-05T20:48:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34773"},"modified":"2024-02-05T16:18:38","modified_gmt":"2024-02-05T16:18:38","slug":"what-is-radius-of-a-circle-definition-formula-examples-facts","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle","title":{"rendered":"Radius of a Circle &#8211; Definition, Formula, 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-fc5807c7-68db-4470-b7d5-2915fa08c0fa\" 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\/radius-of-a-circle#0-what-is-the-radius-of-a-circle>What Is the Radius of a Circle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle#2-radius-of-a-circle-formulas>Radius of a Circle: Formulas<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle#3-equation-of-a-circle-with-radius-r>Equation of a Circle with Radius r<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle#6-solved-examples-on-radius-of-circle>Solved Examples on Radius of Circle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle#7-practice-problems-on-radius-of-circle>Practice Problems on Radius of Circle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle#8-frequently-asked-questions-about-radius>Frequently Asked Questions about Radius<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-radius-of-a-circle\">What Is the Radius of a Circle?<\/h2>\n\n\n\n<p><strong>The radius of a circle represents the distance between the center and the boundary of the circle (<\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/circumference-of-a-circle\"><strong>circumference<\/strong><\/a><strong>). The radius is generally denoted by \u201cR\u201d or \u201cr.\u201d<\/strong><\/p>\n\n\n\n<p>The word \u201cradius\u201d is the singular form, while \u201cradii\u201d is the plural form.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"414\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-of-a-circle.png\" alt=\"Radius of a circle\" class=\"wp-image-34779\" title=\"Radius of a circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-of-a-circle.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-of-a-circle-300x201.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p>Note that 3D shapes such as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/sphere\">spheres<\/a>, cylinders, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cone\">cones<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\">shapes<\/a> with circular bases also have a radius.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"286\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-of-cylinder-cone-and-sphere.png\" alt=\"Radius of cylinder, cone, and sphere\" class=\"wp-image-34780\" title=\"Radius of cylinder, cone, and sphere\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-of-cylinder-cone-and-sphere.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-of-cylinder-cone-and-sphere-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/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\/count-upto-10-objects-in-circle\" 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\/count_comp_hide_and_seek_10_gm.png\" alt=\"Count upto 10 Objects in Circle 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\">Count upto 10 Objects in Circle 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\/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-radius-of-a-circle-definition\">Radius of a Circle: Definition<\/h2>\n\n\n\n<p>The measure of distance between the center of a circle and any point on the boundary of the circle is called its radius.&nbsp;<\/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\/circle-equivalent-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\/circle-equivalent-fractions.jpeg\" alt=\"Circle Equivalent 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\/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-radius-of-a-circle-formulas\">Radius of a Circle: Formulas<\/h2>\n\n\n\n<p>We can express radius in terms of diameter, circumference, or area of a circle. Before we go into that, let\u2019s quickly look into what these terms represent.&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"416\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-diameter-circumference-and-area-visual-understanding.png\" alt=\"Radius, diameter, circumference, and area: visual understanding\" class=\"wp-image-34781\" title=\"Radius, diameter, circumference, and area: visual understanding\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-diameter-circumference-and-area-visual-understanding.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/radius-diameter-circumference-and-area-visual-understanding-300x201.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Radius Formula from Diameter<\/strong><\/p>\n\n\n\n<p>Diameter is the length of a line segment passing through the center of the circle and connecting any two points on the circumference (boundary).&nbsp; Half of the diameter is the radius.<\/p>\n\n\n\n<p>Diameter $= 2 \\times Radius$<\/p>\n\n\n\n<p>Radius $= \\frac{Diameter}{2}$<\/p>\n\n\n\n<p>r $= \\frac{d}{2}$<\/p>\n\n\n\n<p><strong>Radius Formula from Circumference<\/strong><\/p>\n\n\n\n<p>Circumference is the total distance of the boundary of the circle given by 2r.<\/p>\n\n\n\n<p>Circumference $= C = 2\\pi r$<\/p>\n\n\n\n<p>$r = \\frac{C}{2\\pi}$<\/p>\n\n\n\n<p><strong>Radius Formula from Area<\/strong><\/p>\n\n\n\n<p>The space or region enclosed within the circumference of the circle is its area.<\/p>\n\n\n\n<p>Area of a circle $= \\pi r^{2}$<\/p>\n\n\n\n<p>Radius = $\\sqrt{\\frac{Area}{\\pi}}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-equation-of-a-circle-with-radius-r\">Equation of a Circle with Radius r<\/h2>\n\n\n\n<p>The equation of a circle having radius r and center at origin (0, 0) is given by<\/p>\n\n\n\n<p>$x^{2} + y^{2} = r^{2}$&nbsp;<\/p>\n\n\n\n<p>Equation of a circle having radius r and with center (h, k) is given by<\/p>\n\n\n\n<p>$(x\\;-\\;h)^{2} + (y\\;-\\;k)^{2} = r^{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-radius-of-a-circle\">Facts about Radius of a Circle<\/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>A circle with a radius 1 unit is called a unit circle.<\/li>\n\n\n\n<li>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">circle<\/a> is a flat two-dimensional shape made up of a collection of points, all of which lie at the same distance from its center. This distance is called radius.<\/li>\n\n\n\n<li>The radius of a circle and tangent are perpendicular at the point of contact.<\/li>\n\n\n\n<li>The area and circumference are directly proportional to the radius.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>A circle is a very common shape found numerous times in our day-to-day life. Beginning from glasses and sunlight, to ending the day with the moon and clock, there are multiple circles. Thus, knowing the formula for its measurement is necessary. The radius of the circle is the distance from the center to the circumference. It is related to the diameter and area of the circle as well.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-radius-of-circle\">Solved Examples on Radius of Circle<\/h2>\n\n\n\n<p><strong>1. A wire measures 10 units in length. Find the radius of a circle formed by bending the wire and joining its two ends? (Use <\/strong>$\\pi = 3.14$<strong>).<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>A circle is made by bending the wire of length 10 units. Thus, the circumference of the circle is 10 units.&nbsp;<\/p>\n\n\n\n<p>C $= 2\\pi r$<\/p>\n\n\n\n<p>$10 = 2r\\pi $<\/p>\n\n\n\n<p>Radius $= r = \\frac{10}{2\\pi}$<\/p>\n\n\n\n<p>Radius $= r = \\frac{10}{2\\pi}$<\/p>\n\n\n\n<p>Radius $= r = 1.6$ units<\/p>\n\n\n\n<p><strong>2.<\/strong> <strong>What is the radius of the given circle?&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"215\" height=\"215\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/circle-with-diameter-25-in.png\" alt=\"Circle with diameter 25 in\" class=\"wp-image-34782\" title=\"Circle with diameter 25 in\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/circle-with-diameter-25-in.png 215w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/circle-with-diameter-25-in-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/circle-with-diameter-25-in-120x120.png 120w\" sizes=\"auto, (max-width: 215px) 100vw, 215px\" \/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The given line segment is the diameter of the circle.<\/p>\n\n\n\n<p>Diameter = 25 in<\/p>\n\n\n\n<p>Radius $= \\frac{Diameter}{2}$<\/p>\n\n\n\n<p>Radius $= \\frac{25}{2}$<\/p>\n\n\n\n<p>Radius = 12.5 in<\/p>\n\n\n\n<p><strong>3.<\/strong> <strong>A circular garden spans a region of 50.24 square feet. Find the radius.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong> The area of a circle is given by<\/p>\n\n\n\n<p>Area $= \\pi r^{2}$<\/p>\n\n\n\n<p>To calculate the radius, rearrange the equation in terms of radius.&nbsp;<\/p>\n\n\n\n<p>Radius&nbsp; $= \\sqrt{\\frac{Area}{\\pi}}$<\/p>\n\n\n\n<p>Radius $= \\sqrt{\\frac{50.24}{3.14}}$<\/p>\n\n\n\n<p>Radius $= \\sqrt{\\frac{50.24}{3.14}}$<\/p>\n\n\n\n<p>Radius $= \\sqrt{16}$<\/p>\n\n\n\n<p>Radius = 4 feet<\/p>\n\n\n\n<p><strong>5.<\/strong> <strong>What is the radius of a circle with its center at origin, if (2, 4) is a point on the circumference of a circle?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>The equation for the radius of the circle with radius r and center (0, 0) is $x^{2} + y^{2} = r^{2}$.<\/p>\n\n\n\n<p>The (2, 4) point lies on the circle, so it satisfies the equation of the circle.<\/p>\n\n\n\n<p>$2^{2} + 4^{2} = r^{2}$<\/p>\n\n\n\n<p>$r^{2} = 4 + 16$<\/p>\n\n\n\n<p>$r^{2} = 20$&nbsp;<\/p>\n\n\n\n<p>$r = \\sqrt{20}$<\/p>\n\n\n\n<p>r = 4.5 units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-radius-of-circle\">Practice Problems on Radius of Circle<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is Radius of a Circle? Definition, Formula, Examples, Facts<\/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\">What is the radius if the circumference of a circle is 20 units?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1.8<\/div><div class=\"spq_answer_block\" data-value=\"1\">3.2<\/div><div class=\"spq_answer_block\" data-value=\"2\">6<\/div><div class=\"spq_answer_block\" data-value=\"3\">10<\/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: 3.2<br\/>Radius $= \\frac{Circumference}{2\\pi}$<br>\r\nRadius = 3.2 units<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the meaning of the radius of a circle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Distance from the center to the circumference<\/div><div class=\"spq_answer_block\" data-value=\"1\">Distance from one end of the circle to the other end<\/div><div class=\"spq_answer_block\" data-value=\"2\">Distance between any two points on the boundary<\/div><div class=\"spq_answer_block\" data-value=\"3\">Distance around the circle<\/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: Distance from the center to the circumference<br\/>Radius is the distance between the center and the boundary of the circle.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">How to find the radius from the diameter?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">By dividing it by 2<\/div><div class=\"spq_answer_block\" data-value=\"1\">By multiplying it by 2<\/div><div class=\"spq_answer_block\" data-value=\"2\">By adding 2 to the diameter<\/div><div class=\"spq_answer_block\" data-value=\"3\">By subtracting 2 from the diameter<\/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: By dividing it by 2<br\/>The radius is half of the diameter. <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">If the radius increases, the area and circumference will<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">increase.<\/div><div class=\"spq_answer_block\" data-value=\"1\">decrease.<\/div><div class=\"spq_answer_block\" data-value=\"2\">stay the same.<\/div><div class=\"spq_answer_block\" data-value=\"3\">double.<\/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: increase.<br\/>If the radius increases, the area and circumference of the circle will also increase. It is because both area and circumference are directly proportional to the radius.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the diameter of a unit circle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1 unit<\/div><div class=\"spq_answer_block\" data-value=\"1\">0.5 unit<\/div><div class=\"spq_answer_block\" data-value=\"2\">2 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">4 units<\/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: 2 units<br\/>Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units<\/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\": \"What is Radius of a Circle? 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\"@type\": \"Comment\",\n                          \"text\": \"Radius is the distance between the center and the boundary of the circle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Radius is the distance between the center and the boundary of the circle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How to find the radius from the diameter?\",\n                    \"text\": \"How to find the radius from the diameter?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The radius is half of the diameter. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"By multiplying it by 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The radius is half of the diameter. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"By adding 2 to the diameter\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The radius is half of the diameter. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"By subtracting 2 from the diameter\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The radius is half of the diameter. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"By dividing it by 2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The radius is half of the diameter. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The radius is half of the diameter. \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the radius increases, the area and circumference will\",\n                    \"text\": \"If the radius increases, the area and circumference will\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If the radius increases, the area and circumference of the circle will also increase. 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It is because both area and circumference are directly proportional to the radius.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"stay the same.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If the radius increases, the area and circumference of the circle will also increase. It is because both area and circumference are directly proportional to the radius.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"double.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If the radius increases, the area and circumference of the circle will also increase. It is because both area and circumference are directly proportional to the radius.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"increase.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If the radius increases, the area and circumference of the circle will also increase. It is because both area and circumference are directly proportional to the radius.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If the radius increases, the area and circumference of the circle will also increase. It is because both area and circumference are directly proportional to the radius.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the diameter of a unit circle?\",\n                    \"text\": \"What is the diameter of a unit circle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1 unit\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.5 unit\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"2 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Radius of unit circle = 1 unit<br>\r\nDiameter of unit circle = 2r = 2 units\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-radius\">Frequently Asked Questions about Radius<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-dd934590-ce0c-4545-8702-1ac14488cf8d\" 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-dd934590-ce0c-4545-8702-1ac14488cf8d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dd934590-ce0c-4545-8702-1ac14488cf8d\"><strong>How many radii does a circle have?<\/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-dd934590-ce0c-4545-8702-1ac14488cf8d\">\n\n<p>A circle has an infinite number of radii since there are infinite number of points on the circumference of the circle.<\/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-dd934590-ce0c-4545-8702-1ac14488cf8d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dd934590-ce0c-4545-8702-1ac14488cf8d\"><strong>Is it possible for the radius of the circle to 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-1-dd934590-ce0c-4545-8702-1ac14488cf8d\">\n\n<p>No, the radius of the circle cannot be negative since it is a distance from center to the boundary of the circle. Distance cannot be negative.<\/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-dd934590-ce0c-4545-8702-1ac14488cf8d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dd934590-ce0c-4545-8702-1ac14488cf8d\"><strong>Can the radius of a circle be a fraction?<\/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-dd934590-ce0c-4545-8702-1ac14488cf8d\">\n\n<p>Yes, if the fraction is positive, it can be the radius of the circle.<\/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-dd934590-ce0c-4545-8702-1ac14488cf8d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dd934590-ce0c-4545-8702-1ac14488cf8d\"><strong>How can we find the radius using the circumference?<\/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-dd934590-ce0c-4545-8702-1ac14488cf8d\">\n\n<p>Circumference of a circle is given by C = 2r. To find radius from circumference, divide the circumference value by 2.<\/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-4-dd934590-ce0c-4545-8702-1ac14488cf8d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dd934590-ce0c-4545-8702-1ac14488cf8d\"><strong>Is the radius half of the diameter?<\/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-4-dd934590-ce0c-4545-8702-1ac14488cf8d\">\n\n<p>Yes, the radius is exactly half of the diameter.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Radius of a Circle? The radius of a circle represents the distance between the center and the boundary of the circle (circumference). The radius is generally denoted by \u201cR\u201d or \u201cr.\u201d The word \u201cradius\u201d is the singular form, while \u201cradii\u201d is the plural form.&nbsp; Note that 3D shapes such as spheres, cylinders, &#8230; <a title=\"Radius of a Circle &#8211; Definition, Formula, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/radius-of-a-circle\" aria-label=\"More on Radius of a Circle &#8211; Definition, Formula, 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-34773","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\/34773","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=34773"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34773\/revisions"}],"predecessor-version":[{"id":39974,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34773\/revisions\/39974"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34773"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34773"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34773"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}