{"id":31542,"date":"2023-07-07T11:32:01","date_gmt":"2023-07-07T11:32:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31542"},"modified":"2023-09-25T06:10:21","modified_gmt":"2023-09-25T06:10:21","slug":"60-degrees-to-radians","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians","title":{"rendered":"60 Degrees to Radians &#8211; Definition, Formula, Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-9cc4c0ac-16c0-4c85-8aed-931e4920c7c5\" 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\/60-degrees-to-radians#0-what-is-60-degrees-to-radians-conversion>What Is 60 Degrees to Radians Conversion?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians#1-degrees-to-radians-formula>Degrees to Radians Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians#2-how-to-convert-60-degrees-into-radians>How to Convert 60 Degrees into Radians<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians#6-solved-examples-on-degrees-to-radians>Solved Examples on Degrees to Radians<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians#7-practice-problems-on-degrees-to-radians>Practice Problems on Degrees to Radians<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians#8-frequently-asked-questions-about-degrees-to-radians>Frequently Asked Questions about Degrees to Radians<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-60-degrees-to-radians-conversion\">What Is 60 Degrees to Radians Conversion?<\/h2>\n\n\n\n<p><strong>60 degrees to radians is <\/strong>$\\pi 3$<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p>Degrees and radians are the units used to measure <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">angles<\/a>.&nbsp;<\/p>\n\n\n\n<p><strong>Degree:<\/strong> A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/degree-angle-measure\">degree<\/a> (denoted by \u00b0) is the amount of rotation from the initial arm to the terminal arm. A complete turn around the center of a circle is <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle\" title=\"$360^{\\circ}$\">$360^{\\circ}$<\/a>. If it is divided into 360 equal parts, each part represents 1 degree.<\/p>\n\n\n\n<p><strong>Radian:<\/strong> An angle of 1 radian is defined to be the angle, in the counterclockwise direction, which spans an arc whose length is equal to the radius of the circle. Thus, if arc length $= r$, then angle is 1 radian. It holds true for all circles.&nbsp;&nbsp;<\/p>\n\n\n\n<p>By the same logic, 2 radians is the central angle made by an arc whose length is $2 r$ (twice the length of the radius of the circle). If the arc-length equals the total circumference of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">circle<\/a> which is $2\\pi r$, it represents an angle of $2\\pi$ radians. Thus, a complete circle represents $2\\pi$ radians<strong>.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"493\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/one-radian-and-two-radians.png\" alt=\"Understanding 1 radian and 2 radians\" class=\"wp-image-31594\" title=\"Understanding 1 radian and 2 radians\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/one-radian-and-two-radians.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/one-radian-and-two-radians-300x239.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$360^{\\circ} = 2\\pi$ radians<\/li>\n\n\n\n<li>$180^{\\circ} = \\pi$ radians<\/li>\n\n\n\n<li>$90^{\\circ} = 2$ radians<\/li>\n\n\n\n<li>$60^{\\circ} = 3$ radians<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/45-degree-angle\" title=\"\">$45^{\\circ} = 4$<\/a> radians&nbsp;&nbsp;&nbsp;<\/li>\n\n\n\n<li>$30^{\\circ} = 6$ radians&nbsp;<\/li>\n<\/ul>\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\/draw-angles-in-multiples-of-10-degrees\" 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_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees 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\">Draw Angles in Multiples of 10 Degrees 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\/draw-angles-nearest-5-and-1-degrees\" 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_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees 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\">Draw Angles Nearest 5 and 1 Degrees 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\/measure-the-angles-in-multiples-of-10-degrees\" 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_measure_angle_1_pt.png\" alt=\"Measure the Angles in Multiples of 10 Degrees 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\">Measure the Angles in Multiples of 10 Degrees 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-degrees-to-radians-formula\">Degrees to Radians Formula<\/h2>\n\n\n\n<p>To convert an angle from degrees to radians, we multiply it by $180^{\\circ}$.<\/p>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-e3c3cba7-ad11-499e-ae15-971976133cd6\">\n\n\n<p>Angle in degrees $\\times \\frac{\\pi}{180^{\\circ}} =$ Angle in radians<\/p>\n\n\n<\/div>\n\n\n<p>We can use this formula to convert 60 degrees to radians.<\/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\/division-by-6-within-60\" 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\/division-by-6-within-60.jpeg\" alt=\"Division by 6 within 60\">\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-convert-60-degrees-into-radians\">How to Convert 60 Degrees into Radians<\/h2>\n\n\n\n<p>We use the conversion formula to convert 60 degrees into radians.<\/p>\n\n\n\n<p><strong>Angle in radians <\/strong>$=$<strong> Angle in degrees <\/strong>$\\times\\frac{\\pi}{180^{\\circ}}$<\/p>\n\n\n\n<p>Here, angle in degrees $= 60^{\\circ}$<\/p>\n\n\n\n<p>On substituting this in the formula, we get<\/p>\n\n\n\n<p>Angle in radians $= 60^{\\circ} \\times \\frac{\\pi}{180^{\\circ}} = \\frac{\\pi}{3}$<\/p>\n\n\n\n<p>Thus, the value of 60 degrees to radians is 3.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"541\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/sixty-degrees-to-radians.png\" alt=\"60 degrees to radians is 3\" class=\"wp-image-31595\" title=\"60 degrees to radians is 3\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/sixty-degrees-to-radians.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/sixty-degrees-to-radians-300x262.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Note:<\/strong><\/p>\n\n\n\n<p>We can also approach this problem in a different way. We know that the angle at the center of a circle is 360 degrees. It is equivalent to 2\u03c0 in radians.&nbsp;<\/p>\n\n\n\n<p>$360^{\\circ} = 2\\pi$<\/p>\n\n\n\n<p>Dividing both sides by 6, we will get&nbsp;<\/p>\n\n\n\n<p>$\\frac{360^{\\circ}}{6} = \\frac{2\\pi}{6}$<\/p>\n\n\n\n<p>$60^{\\circ} = \\frac{\\pi}{3}$&nbsp;<\/p>\n\n\n\n<p>Thus, the value of 60 degrees to radians in terms of pi is $\\frac{\\pi}{3}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-negative-60-degrees-to-radians\">Negative 60 Degrees to Radians<\/h2>\n\n\n\n<p>Negative angle is an angle generated in an clockwise direction from the initial arm. To convert a negative degree into a radian, we use the same method as we did for positive degrees. We will simply multiply the angle\u2019s given value by $\\frac{\\pi}{180^{\\circ}}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"363\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/negative-sixty-degrees.png\" alt=\"Negative 60 degrees angle\" class=\"wp-image-31596\" title=\"Negative 60 degrees angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/negative-sixty-degrees.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/negative-sixty-degrees-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Let\u2019s convert $-60^{\\circ}$ into radians.<\/p>\n\n\n\n<p>Radian $= (\\frac{\\pi}{180^{\\circ}})$ &nbsp; (degrees)<\/p>\n\n\n\n<p>Radian $= (\\frac{\\pi}{180^{\\circ}}) \\times (-60^{\\circ})$<\/p>\n\n\n\n<p>Angle in radian $= \u2013 \\frac{\\pi}{3}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-60-degrees-to-radians\">Facts about 60 Degrees to Radians<\/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>$60^{\\circ} = \\frac{\\pi}{3}; 30^{\\circ} = \\frac{\\pi}{6}; 120^{\\circ} = \\frac{2\\pi}{3}$<\/li>\n\n\n\n<li>60 radians is about 3437.75 degrees.<\/li>\n\n\n\n<li>1 radian is about 57.3 degrees.<\/li>\n\n\n\n<li>1 degree is about 0.0174533 radians.<\/li>\n\n\n\n<li>$2\\pi$ radians $= 360$ degrees.<\/li>\n\n\n\n<li>To convert radians to degrees, we multiply by&nbsp;$\\frac{180^{\\circ}}{\\pi}$.<br>Angle in radians $\\times&nbsp;\\frac{180^{\\circ}}{\\pi}&nbsp; =$ Angle in degrees<\/li>\n\n\n\n<li>The symbol for radian given by \u201crad\u201d or c is generally omitted in mathematical writing.<\/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>In this article, we learned about the angle in radians equivalent to 60 degrees. We discussed the conversion formula along with some examples. Let\u2019s solve a few more examples and practice problems for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-degrees-to-radians\">Solved Examples on Degrees to Radians<\/h2>\n\n\n\n<p><strong>1. Convert 60 degrees to radians.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>To convert $60^{\\circ}$ to radians, use the formula<\/p>\n\n\n\n<p>Angle in radians $=$ Angle in degrees $\\times (\\frac{\\pi}{180^{\\circ}})$<\/p>\n\n\n\n<p>Therefore, $60^{\\circ} \\times (\\frac{\\pi}{180^{\\circ}}) = (\\frac{\\pi}{3})$&nbsp; radians&nbsp;<\/p>\n\n\n\n<p>So, 60 degrees in radians is $(\\frac{\\pi}{3})$&nbsp; radians.<\/p>\n\n\n\n<p><strong>2<\/strong>. <strong>Convert 90 degrees to radians.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Given: 90 degrees is the angle<\/p>\n\n\n\n<p>Angle in radian $=$ Angle in degree $\\times (\\frac{\\pi}{180^{\\circ}})$<\/p>\n\n\n\n<p>Angle in radian $= 90^{\\circ} \\times (\\frac{\\pi}{180^{\\circ}})$<\/p>\n\n\n\n<p>Angle in radian $= \\frac{\\pi}{2}$<\/p>\n\n\n\n<p>Hence, 90 degrees is equal to $\\frac{\\pi}{2}$ in radians.<\/p>\n\n\n\n<p><strong>3. Convert <\/strong><strong>4<\/strong><strong>9<\/strong><strong> radians to degrees.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Angle in Degrees $=$ Angle in Radians $\\times \\frac{\\pi}{180^{\\circ}}$<\/p>\n\n\n\n<p>Angle in Degrees $= (\\frac{4\\pi}{9}) \\times \\frac{\\pi}{180^{\\circ}}$<\/p>\n\n\n\n<p>Angle in Degrees $= 4 \\times 20^{\\circ}$<\/p>\n\n\n\n<p>Angle in Degrees $= 80^{\\circ}$<\/p>\n\n\n\n<p>Hence, $\\frac{4\\pi}{9}$&nbsp; radians are 80 degrees.&nbsp;<\/p>\n\n\n\n<p><strong>4. Convert 200 degrees into radians.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>By the formula, we know<\/p>\n\n\n\n<p>Angle in radians $=$ Angle in degree $\\times \\frac{\\pi}{180^{\\circ}}$<\/p>\n\n\n\n<p>Thus, 200 degrees in radians&nbsp; $= 200 \\times \\frac{\\pi}{180^{\\circ}} = \\frac{10\\pi}{9}$ radians.<\/p>\n\n\n\n<p>Hence, 200 degrees is equal to $\\frac{10\\pi}{9}$ in radians.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-degrees-to-radians\">Practice Problems on Degrees to Radians<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">60 Degrees to Radians \u2013 Definition, Formula, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Convert $\\pi$ radian to degrees.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$180^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$57^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$54^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$360^{\\circ}$<\/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: $180^{\\circ}$<br\/>Radians $\\times(\\frac{180^{\\circ}}{\\pi}) =$ Degrees<br>\r\nradians $= \\times (\\frac{180^{\\circ}}{\\pi}) = 180^{\\circ}$<\/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\">Convert $30^{\\circ}$ to radians.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{\\pi}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{\\pi}{9}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{2 \\pi}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{\\pi}{4}$<\/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: $\\frac{\\pi}{6}$<br\/>$30^{\\circ} \\times (\\frac{\\pi}{180^{\\circ}}) = \\frac{\\pi}{6}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Convert $75^{\\circ}$ to radians.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{\\pi}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{5 \\pi}{12}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3 \\pi}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2 \\pi}{3}$<\/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: $\\frac{5 \\pi}{12}$<br\/>Degrees $\\times (\\frac{\\pi}{180^{\\circ}}) =$ Radians<br>\r\n$75^{\\circ} \\times (\\frac{\\pi}{180^{\\circ}}) = \\frac{5 \\pi}{12}$<\/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\">How many radians is 60 degrees?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3\\pi}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{\\pi}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{\\pi}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{\\pi}{6}$<\/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: $\\frac{\\pi}{3}$<br\/>60 degrees $= \\frac{\\pi}{3}$ radians<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">If $60^{\\circ} = \\frac{\\pi}{3}$, then $120^{\\circ} =$ _____ .<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{\\pi}{6}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{2 \\pi}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{\\pi}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2\\pi$<\/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: $\\frac{2 \\pi}{3}$<br\/>$60^{\\circ} = \\frac{\\pi}{3}$<br>\r\n$120^{\\circ} = \\frac{2\\pi}{3}$<\/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\": \"60 Degrees to Radians \u2013 Definition, Formula, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"60 Degrees to Radians\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$\\\\pi$$ radian to degrees.\",\n                    \"text\": \"Convert $$\\\\pi$$ radian to degrees.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Radians $$\\\\times(\\\\frac{180^{\\\\circ}}{\\\\pi}) =$$ Degrees<br>\r\nradians $$= \\\\times (\\\\frac{180^{\\\\circ}}{\\\\pi}) = 180^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$57^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radians $$\\\\times(\\\\frac{180^{\\\\circ}}{\\\\pi}) =$$ Degrees<br>\r\nradians $$= \\\\times (\\\\frac{180^{\\\\circ}}{\\\\pi}) = 180^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$54^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radians $$\\\\times(\\\\frac{180^{\\\\circ}}{\\\\pi}) =$$ Degrees<br>\r\nradians $$= \\\\times (\\\\frac{180^{\\\\circ}}{\\\\pi}) = 180^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$360^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radians $$\\\\times(\\\\frac{180^{\\\\circ}}{\\\\pi}) =$$ Degrees<br>\r\nradians $$= \\\\times (\\\\frac{180^{\\\\circ}}{\\\\pi}) = 180^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$180^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Radians $$\\\\times(\\\\frac{180^{\\\\circ}}{\\\\pi}) =$$ Degrees<br>\r\nradians $$= \\\\times (\\\\frac{180^{\\\\circ}}{\\\\pi}) = 180^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Radians $$\\\\times(\\\\frac{180^{\\\\circ}}{\\\\pi}) =$$ Degrees<br>\r\nradians $$= \\\\times (\\\\frac{180^{\\\\circ}}{\\\\pi}) = 180^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$30^{\\\\circ}$$ to radians.\",\n                    \"text\": \"Convert $$30^{\\\\circ}$$ to radians.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$30^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{\\\\pi}{6}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{9}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$30^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{\\\\pi}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2 \\\\pi}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$30^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{\\\\pi}{6}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$30^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{\\\\pi}{6}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{\\\\pi}{6}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$30^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{\\\\pi}{6}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$30^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{\\\\pi}{6}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert $$75^{\\\\circ}$$ to radians.\",\n                    \"text\": \"Convert $$75^{\\\\circ}$$ to radians.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Degrees $$\\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) =$$ Radians<br>\r\n$$75^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{5 \\\\pi}{12}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degrees $$\\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) =$$ Radians<br>\r\n$$75^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{5 \\\\pi}{12}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3 \\\\pi}{4}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degrees $$\\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) =$$ Radians<br>\r\n$$75^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{5 \\\\pi}{12}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2 \\\\pi}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Degrees $$\\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) =$$ Radians<br>\r\n$$75^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{5 \\\\pi}{12}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{5 \\\\pi}{12}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Degrees $$\\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) =$$ Radians<br>\r\n$$75^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{5 \\\\pi}{12}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Degrees $$\\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) =$$ Radians<br>\r\n$$75^{\\\\circ} \\\\times (\\\\frac{\\\\pi}{180^{\\\\circ}}) = \\\\frac{5 \\\\pi}{12}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many radians is 60 degrees?\",\n                    \"text\": \"How many radians is 60 degrees?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"60 degrees $$= \\\\frac{\\\\pi}{3}$$ radians\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3\\\\pi}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"60 degrees $$= \\\\frac{\\\\pi}{3}$$ radians\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"60 degrees $$= \\\\frac{\\\\pi}{3}$$ radians\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"60 degrees $$= \\\\frac{\\\\pi}{3}$$ radians\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{\\\\pi}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"60 degrees $$= \\\\frac{\\\\pi}{3}$$ radians\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"60 degrees $$= \\\\frac{\\\\pi}{3}$$ radians\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If $$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$, then $$120^{\\\\circ} =$$ _____ .\",\n                    \"text\": \"If $$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$, then $$120^{\\\\circ} =$$ _____ .\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$<br>\r\n$$120^{\\\\circ} = \\\\frac{2\\\\pi}{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{6}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$<br>\r\n$$120^{\\\\circ} = \\\\frac{2\\\\pi}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$<br>\r\n$$120^{\\\\circ} = \\\\frac{2\\\\pi}{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\pi$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$<br>\r\n$$120^{\\\\circ} = \\\\frac{2\\\\pi}{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{2 \\\\pi}{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$<br>\r\n$$120^{\\\\circ} = \\\\frac{2\\\\pi}{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$60^{\\\\circ} = \\\\frac{\\\\pi}{3}$$<br>\r\n$$120^{\\\\circ} = \\\\frac{2\\\\pi}{3}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-degrees-to-radians\">Frequently Asked Questions about Degrees to Radians<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-c1730512-5b9c-4873-8579-08087006f180\" 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-c1730512-5b9c-4873-8579-08087006f180\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c1730512-5b9c-4873-8579-08087006f180\"><strong>What is 1 radian in degrees?<\/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-c1730512-5b9c-4873-8579-08087006f180\">\n\n<p>1 radian is approximately 57.2958 degrees.<\/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-c1730512-5b9c-4873-8579-08087006f180\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c1730512-5b9c-4873-8579-08087006f180\"><strong>What is the connection between radians and degrees?<\/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-c1730512-5b9c-4873-8579-08087006f180\">\n\n<p>Radians and degrees are connected by the relationship $360^{\\circ} = 2\\pi$ radians.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If you wish to convert from degrees to radians, multiply the given degree measure by $\\frac{\\pi}{180}$.&nbsp;<\/li>\n\n\n\n<li>If you wish to convert from radians to degrees, multiply the given radian measure by $\\frac{\\pi}{180}$.<\/li>\n<\/ul>\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-c1730512-5b9c-4873-8579-08087006f180\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c1730512-5b9c-4873-8579-08087006f180\"><strong>Is 1 radian bigger than 1 degree?<\/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-c1730512-5b9c-4873-8579-08087006f180\">\n\n<p>One radian is much greater than one degree. It is approximately 57.3 degrees.<\/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-c1730512-5b9c-4873-8579-08087006f180\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c1730512-5b9c-4873-8579-08087006f180\"><strong>How many radians are 240 degrees?<\/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-c1730512-5b9c-4873-8579-08087006f180\">\n\n<p>240 degrees is $\\frac{4\\pi}{3} radians.<\/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-c1730512-5b9c-4873-8579-08087006f180\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c1730512-5b9c-4873-8579-08087006f180\"><strong>How many radians are 120 degrees?<\/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-c1730512-5b9c-4873-8579-08087006f180\">\n\n<p>120 degrees is $\\frac{2\\pi}{3}$ radians.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is 60 Degrees to Radians Conversion? 60 degrees to radians is $\\pi 3$.&nbsp; Degrees and radians are the units used to measure angles.&nbsp; Degree: A degree (denoted by \u00b0) is the amount of rotation from the initial arm to the terminal arm. A complete turn around the center of a circle is $360^{\\circ}$. If &#8230; <a title=\"60 Degrees to Radians &#8211; Definition, Formula, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/60-degrees-to-radians\" aria-label=\"More on 60 Degrees to Radians &#8211; Definition, Formula, Examples, Facts, 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-31542","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\/31542","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=31542"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31542\/revisions"}],"predecessor-version":[{"id":34356,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31542\/revisions\/34356"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31542"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31542"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}