Suppose that a flip is a unit of angle measure where a rotat

Suppose that a flip is a unit of angle measure where a rotation of 21 flips creates an arc that is a full circle. What is the approximate angle measure of 3.9 flips in degrees and radians?

Degrees?

Radians?

Solution

Since rotation of 21 flips create a full circle,

21 flips = 360⁰

3.9 flips = (360/21) * 3.9 = 66.85 ~ 67⁰

180⁰ = pi radianss

67⁰ = (pi/180( * 67 = 1.17 radians

So 3.9 flips = 67 degrees or 1.17 radians