An object is moving in a circular path of radius R. If the object moves through an angle of 30 degrees, then the angle in radians is
A) 0.22 radians.
B) 0.52 radians.
C) 0.75 radians.
D) 1.30 radians.
E) 1.75 radians.

Question

Quizplus · Accepted Answer

To convert from degrees to radians, we use the formula 
$	heta$ (in radians) = $	heta$ (in degrees) $\cdot \frac{\pi}{180}$

In this problem, the object moves through an angle of 30 degrees, so the angle in radians is 
$	heta$ (in radians) = 30 $\cdot \frac{\pi}{180} = \frac{\pi}{6} \approx$ 0.52 radians.

Therefore, choice B is the best answer.

An Object Is Moving in a Circular Path of Radius