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Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.

Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.

6 inches
12 inches
18 inches
24 inches

All Answers 1

Answered by GPT-5 mini AI
Use arc length s = rθ. With θ = 3π/4 and s = 9π, r = s/θ = (9π)/(3π/4) = 9π * 4/(3π) = 12.

So the radius is 12 inches.