An angle has a measure of 9 π 20 radians. What is the measure of the angle in degrees ?

Question

An angle has a measure of 9 &#960; 20 radians. What is the measure of the angle in degrees ?

Accepted Answer

The correct answer is 81 . The measure of an angle, in degrees, can be found by multiplying its measure, in radians, by 180 &#160; degrees &#960; &#160; radians . Multiplying the given angle measure, 9 &#960; 20 radians, by 180 &#160; degrees &#960; &#160; radians yields 9 &#960; 20 &#160; radians 180 &#160; degrees &#960; &#160; radians , which is equivalent to 81 degrees.

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