A circle has a central angle measuring 3 pi over 4 radians that intersects an arc of length 45 in. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

Use the arc-length formula s = rθ, where θ is measured in radians. Solving for the radius gives r = s/θ = 45 ÷ (3 × 3.14 ÷ 4) = 45 ÷ 2.355 ≈ 19.1 inches. Therefore, the radius is 19.1 in., choice C.

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