Solve the problem.
-A wheel with a 32 -inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 7 inches. What is the angle (to the nearest tenth of a degree) between the radii to the two marks?
A) $12.5 ^ { \circ }$
B) $8.5 ^ { \circ }$
C) $14.5 ^ { \circ }$
D) $10.5 ^ { \circ }$

Question

Quizplus · Accepted Answer

The circumference of the wheel is $2\pi r = 2\pi (32) = 64\pi$ inches. The distance between the marks is 7 inches, so the angle between the radii to the two marks is $\frac{7}{64\pi} \cdot 360^\circ \approx 12.5^\circ$.

Solve the Problem 12.5∘12.5 ^ { \circ }12.5∘ B) 8.5∘8.5 ^ { \circ }8.5∘

Solve the Problem $12.5 ^ { \circ }$ B) $8.5 ^ { \circ }$