Question

Convert -4 radians to degrees. For values greater than 360°, find the equivalent angle less than 360°.

A. 135°
B. 37.4°
C. 45°
D. 330°

Answer 1

To convert -4 radians to degrees, multiply by the conversion factor 1 radian = 57.3°. The equivalent angle less than 360° is approximately 130.8°.

Step-by-step explanation:

To convert radians to degrees, we use the conversion factor 1 radian = 57.3°. Now, let's convert -4 radians to degrees:

-4 radians * 57.3°/radian = -229.2°

Since the question asks for the equivalent angle less than 360°, we can add or subtract multiples of 360° to bring the angle within the range.

Adding 360° to -229.2°: -229.2° + 360° = 130.8°

Therefore, the equivalent angle less than 360° for -4 radians is approximately 130.8°.