How to find radius with arc length and central angle

Asked by admin @ 10/11/2021 in Mathematics viewed by 316 People

Determine the radius of a circle whose arc length measures 57.1 meters and central angle measures 1.46 radians.

Answered by admin @ 10/11/2021

Length of arc = rθ

where r = radius, θ = angle in radians.

57.1 = r*1.46

1.46r = 57.1

r = 39.1095

Radius ≈ 39.11 m

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