Question

A child pushes a playground merry-go-round so handle A moves to position B. The radius of the merry go round is 5 feet and the distance traveled by the handle along the arc from A to B is 4.5 feet. Find to the nearest degree, the measure of minor arc AB.

Answer 1

Use the sin function to solve for the central angle.
Chord length = 2Rsin(c/2)
where
chord length =4.5 feet
radius = 5 feet
C= central angle
Rearrange the formula to get the central angle  and substitute all the given values
Central angle = 53.49 degrees