The radius of a wheel is 15 in. It turns through an angle of 3.25 rad. What is the distance a point travels on the surface of the wheel? Round your answer to three significant digits.
A) 97.5 in.
B) 48.75 in.
C) 47.5 in.
D) 46.75 in.
E) 153 in.

Question

Quizplus · Accepted Answer

The distance a point travels on the surface of the wheel is equal to the arc length of the portion of the circumference it passes through. 
Arc length = radius x angle in radians 
Arc length = 15 in. x 3.25 rad 
Arc length ≈ 48.75 in. 
Therefore, the answer is choice B.

The Radius of a Wheel Is 15 In