17
QuizMultiple Choice

Trigonometric Functions — Test

Question 17 • Mathematics III

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

Answer
A
0 point 3 cm
B
7 point 1 cm
C
0 point 7 cm
D
2 point 9 cm

Explanation

Use the arc-length formula s = rθ, where θ is measured in radians. Substituting the radius and angle gives s = 4.5 × (3.14 ÷ 2) = 7.065 cm, which rounds to 7.1 cm. The correct choice is A, 7.1 cm.

AI-written and checked against the verified answer.

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