{"id":6588,"date":"2026-07-13T14:42:23","date_gmt":"2026-07-13T19:42:23","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6588"},"modified":"2026-07-13T14:42:32","modified_gmt":"2026-07-13T19:42:32","slug":"radians","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/radians\/","title":{"rendered":"Radians"},"content":{"rendered":"

*Radians are another unit used to measure the magnitude of an angle. You can convert from degrees to radians (or from radians to degrees) using the following relation:<\/p>\n

180 degrees = \u03c0 radians<\/p>\n

To convert from degrees to radians, multiply by the conversion factor<\/p>\n

\u03c0 radians <\/span> 180 degrees<\/i><\/span><\/span><\/p>\n

To convert from radians to degrees, multiply by the conversion factor<\/p>\n

180 degrees<\/i> <\/span> \u03c0 radians<\/span><\/span><\/p>\n

*To determine the length of an arc<\/strong> intercepted by a central angle of a circle, use the following formula:<\/p>\n

s = \u0251r<\/p>\n

where r is the radius of a circle and s is the length of the intercepted arc of the central angle with a measure\u00a0of \u0251 radians.<\/p>\n

*To determine the area of a sector<\/strong> of a circle, you must first determine the fraction of the circle that is contained in the sector. You do this by dividing the angle measurement (in radians) by 2\u03c0. Then you multiply\u00a0that number by 2\u03c0r2<\/sup> (area of a circle), where r is the radius of the circle. The product is the area of\u00a0that sector.<\/p>\n\n

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For more help, contact The Learning Center<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"

*Radians are another unit used to measure the magnitude of an angle. You can convert from degrees to radians (or from radians to degrees) using the following relation: 180 degrees = \u03c0 radians To convert from degrees to radians, multiply by the conversion factor \u03c0 radians 180 degrees To convert from radians to degrees, multiply […]<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"yst_prominent_words":[],"class_list":["post-6588","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6588","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/comments?post=6588"}],"version-history":[{"count":3,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6588\/revisions"}],"predecessor-version":[{"id":6591,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6588\/revisions\/6591"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6588"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}