A circle has a central angle measuring 7 pi over 6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3 point 1 4 for pi
Answer
A
4 point 9 cm
B
15 point 4 cm
C
3 point 7 cm
D
14 point 3 cm
Explanation
Use the arc-length formula s = rθ, where θ is measured in radians. Solve for the radius: r = 18 ÷ (7π/6) = 108 ÷ (7 × 3.14) ≈ 4.9 cm. The radius is 4.9 cm, choice C.
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