Find the radius of a circle in which the central angle, a, intercepts an arc of the given length a = 30°, s = 9in

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Find the radius of a circle in which the central angle, a, intercepts an arc of the given length

a = 30°, s = 9in

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29 votes

Answer:

17.2 in

Explanation:

The formula for arc length is s = rФ. Here we are to find r. Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

ZelkiN answered Aug 12, 2022

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