Convert the following degree measure to radians.\u2003\u2003 135 degrees 10 prime<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n Correct Answer:<\/strong> Explanation:<\/strong> Step 1: Convert minutes to decimal degrees.<\/strong> 10 minutes = 10 \u00f7 60 = 0.1667 degrees<\/p>\n\n\n\n Now add this to the degrees:<\/p>\n\n\n\n 135 degrees + 0.1667 degrees = 135.1667 degrees<\/p>\n\n\n\n Step 2: Convert degrees to radians.<\/strong> Radians = Degrees \u00d7 (\u03c0 \/ 180)<\/p>\n\n\n\n So:<\/p>\n\n\n\n 135.1667 \u00d7 (\u03c0 \/ 180) \u2248 135.1667 \u00d7 0.0174533 \u2248 2.3581 radians<\/p>\n\n\n\n Rounded to two decimal places, the final result is:<\/p>\n\n\n\n 2.36 radians<\/strong><\/p>\n\n\n\n Why this is important:<\/strong> Radians are based on the radius of a circle. One full circle is 2\u03c0 radians, which equals 360 degrees. This means 1 degree equals \u03c0\/180 radians. So any angle in degrees can be converted by multiplying it with \u03c0\/180.<\/p>\n\n\n\n The “minutes” in angle measurement are just a finer subdivision of degrees, just like minutes are subdivisions of hours. Converting them to decimal form first simplifies the entire calculation and ensures accurate conversion.<\/p>\n\n\n\n Understanding how to convert degrees and minutes to radians is essential for solving trigonometric equations, working with rotational motion in physics, and analyzing periodic functions in engineering and science.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert the following degree measure to radians.\u2003\u2003 135 degrees 10 prime The correct answer and explanation is: Correct Answer:135 degrees 10 minutes = 2.36 radians (rounded to two decimal places) Explanation:To convert an angle from degrees and minutes to radians, follow these steps: Step 1: Convert minutes to decimal degrees.There are 60 minutes in one […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-34619","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34619","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=34619"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34619\/revisions"}],"predecessor-version":[{"id":34620,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/34619\/revisions\/34620"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=34619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=34619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=34619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
135 degrees 10 minutes = 2.36 radians<\/strong> (rounded to two decimal places)<\/p>\n\n\n\n
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To convert an angle from degrees and minutes to radians, follow these steps:<\/p>\n\n\n\n
There are 60 minutes in one degree. So:<\/p>\n\n\n\n
To convert degrees to radians, use the formula:<\/p>\n\n\n\n
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Angles can be measured in both degrees and radians. Degrees are common in geometry and everyday contexts, while radians are used more often in calculus, physics, and higher-level mathematics because of their natural relationship to the circle.<\/p>\n\n\n\n