What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.

-

13°

45°

229°

720°

Question:

A. 13°

B. 45°

C. 229°

D. 720°

Answer:

The correct option is;

C. 229°

Step-by-step explanation:

Here we have

360° = 2·π radians which is the angle at the center of a circle, where the circumference of the circle is 2·π·r and r = 1

Therefore;

1 radian = 360° / (2·π)

Hence, 4 radian = 4 * 360° / (2·π) = 720/π = 229.183°

Therefore, the value of 4 radians converted to degrees is 229° after the exact figure is rounded to the nearest whole number.