10
practice testMultiple Choice

Practice Test

Question 10 • Algebra II

How long is the arc intersected by a central angle of pi over 3 radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

Answer
A
1 point 0 ft
B
5 point 7 ft
C
6 point 3 ft
D
7 point 0 ft

Explanation

Use the arc-length formula s = rθ, with θ measured in radians. Substituting the radius 6 ft and angle π/3 gives s = 6(3.14/3) = 6.28 ft, which rounds to 6.3 ft. The correct choice is C, 6.3 ft.

AI-written and checked against the verified answer.

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