Solve the problem.
-A car wheel has a 15-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 1 ft?
A) 45.8°
B) 60.8°
C) 50.8°
D) 55.8°

Question

Quizplus · Accepted Answer

The circumference of the wheel is 2πr = 2π(15) = 30π inches. Since 1 ft = 12 inches, the wheel turns through an angle of 30π/12 = 2.5π radians. Converting to degrees, we get 2.5π(180/π) = 450 degrees. To the nearest tenth of a degree, the answer is 45.8 degrees.

Solve the Problem. -A Car Wheel Has a 15-Inch Radius. Through What Angle