Complete the following statement: The angular measure 1.0 radian is equal to
A)0.0175°.
B)57.3°.
C)1.57°.
D)3.14°.
E)6.28°.

Question

Quizplus · Accepted Answer

One radian is equal to the angle at the center of a circle formed by an arc of length equal to the radius. Since the circumference of a circle is 2πr and there are 360 degrees in a full circle, an angle in radians can be converted to degrees using the formula:

angle in degrees = (angle in radians) x (180/π)

In this case, 1.0 radian is equal to:

(1.0) x (180/π) = 57.3°

Therefore, the correct answer is B) 57.3°.

Complete the Following Statement: the Angular Measure 1