Multiple choice

Find the radius of the circle in which a central angle of 60o intercepts and arc of length 37.4 -

  1. 35.2 cm.

  2. 37.4 cm.

  3. 35.7 cm.

  4. 35.00 cm.
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C Correct answer
Explanation

Using the arc length formula s = rθ, where θ is in radians: 60° = π/3 radians. Given s = 37.4 cm, we have r = s/θ = 37.4/(π/3) = 37.4×3/π ≈ 35.7 cm. This uses the relationship between arc length, radius, and central angle.

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