23
QuizMultiple Choice

N/A — Exam

Question 23 • Geometry: Concepts and Connections

How long is the arc intersected by a central angle of 5 pi over 3 radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

Answer
A
2 point 6 ft
B
7 point 0 ft
C
10 point 5 ft
D
31 point 4 ft

Explanation

For an angle measured in radians, the arc length is s = rθ. Substituting the radius of 2 ft and the angle of 5π/3 gives s = 2(5 × 3.14 ÷ 3) ≈ 10.47 ft, which rounds to 10.5 ft. The correct choice is 10.5 ft.

AI-written and checked against the verified answer.

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