Question

A wheel with a 20-inch radius is marked at two points on the rim. The distance between the marks along the wheel is found to be 3 inches. What is the angle (to the nearest tenth of a degree) between the radii to the two marks?
someone helped me on this before: angle/360=3/(40pi), i know i have to solve for angle..but i still don't get the answer..
A. 4.6 degrees
B. 10.6 degrees
C. 6.6 degrees
D. 8.6 degrees

Answer 1

for small angles, angle in radians is about the arc length over radius
3/20 = .15 radians
.15 * 360/2 pi = 8.6 deg

Answer 2

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