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SSC CHSL 2023 PYQ — Question 64

SSC CHSL - 08 Aug 2023 - Shift 2 • Quantitative Aptitude • Q64

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The area of a sector of a circle is 616 cm2 with a central angle of 10°. The radius of the circle is_________.(use π=227\pi={22\over7}).

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 84 cm.

Area of sector = (θ360)×πr2({\theta \over 360}) \times \pi r^2

According to the given question,

(θ360)×πr2({\theta \over 360}) \times \pi r^2 = 616

⇒ (10360)×227×r2({10 \over 360}) \times {22 \over 7} \times r^2 = 616

⇒ r2 = 196 × 36

⇒ r = 14 × 6

⇒ r = 84 cm