The area of a sector of a circle of radius \(r\) with central angle \(\theta\) is

A. \(\frac{\theta}{360} \times 2\pi r\)

B. \(\frac{\theta}{180} \times \pi r^2\)

C. \(\frac{\theta}{360} \times \pi r^2\)

D. \(\theta \times \pi r^2\)

Doubtly AI Asked 24 Oct 2026 AI-verified · Oct 2026 ssc 10th Save WhatsApp Report

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Best answer

Answer: C. \(\frac{\theta}{360} \times \pi r^2\)

A sector is \(\frac{\theta}{360}\) of the whole circle, so its area is \(\frac{\theta}{360} \times \pi r^2\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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