Question

Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.

Determine the arc length of SR. Use mathematics to explain how you determined your answer
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Answer 1

18.84feet

Explanation:

Length of an arc = rtheta

radius r = 9feet

theta = SR= 120°

Convert theta to radians

theta = 120π/180

theta= 2π/3

Length of the arc = 9 * 2π/3

L = 18π/3

L = 6π

L = 6(3.14)

L = 18.84feet

Hence the length of the arc is 18.84feet