Question:

The radius of the circle whose arc of length 15 cm makes an angle of 3/4 radian at the centre, is

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\(\theta\) must be in radians for \(s = r\theta\).
Updated On: Apr 7, 2026
  • 10 cm
  • 20 cm
  • \(11\frac{1}{4}\) cm
  • \(22\frac{1}{2}\) cm
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept:
Arc length \(s = r\theta\).
Step 2: Detailed Explanation:
\(s = r\theta \rightarrow 15 = r \times \frac{3}{4} \rightarrow r = 15 \times \frac{4}{3} = 20\ \mathrm{cm}\)
Step 3: Final Answer:
20 cm.
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