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.

Question

Mathematics

Akira Duncan

19 March, 05:00

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.

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Answers (1)

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Jalen Franco · 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