If a circular arc of the given length s = 6 km subtends the central angle θ = 40° on a circle, find the radius of the circle. (Round your answer to the nearest hundredth.) I've got the answer, but need to know how to work the problem.. Created by Bobby. science-mathematics-en - mathematics-en

theta =arc/radius ratio6/R=40 DEG=0.15kmor 150m

If a circular arc of the given length s = 6 km subtends the central angle θ = 40° on a circle, find the radius?

May 2021 2 18 Report

If a circular arc of the given length s = 6 km subtends the central angle θ = 40° on a circle, find the radius?

If a circular arc of the given length s = 6 km subtends the central angle θ = 40° on a circle, find the radius of the circle. (Round your answer to the nearest hundredth.) I've got the answer, but need to know how to work the problem.

Science & Mathematics / Mathematics

s = 6 km

circle = 360° = 9 times the subtended angle of 40°

circumference of circle therefore = (9)(6) = 54 km

C = pi (2r)

54 = (2)(3.1415)r

r = 8.59 km

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