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  9. Q48

SSC CHSL 2023 · Question 48 of 92

The radius of a circle is 21 cm. What will be the area (in cm²) of a sector of the circle that subtends a 22.5° angle at the centre? [Use π = 22/7]

Mensuration

  1. A86.6205
  2. B86.0625
  3. C86.6250Correct
  4. D86.6025

Answer: C. 86.6250

Explanation

Given: In the given figure, The radius of the circle is 21 cm. A 22.5° angle at the centre Concept: Area of Sector = (angle formed by the arc/360) (area of a circle) Solution: Radius of circle = 21 cm Area of circle = πr2 = (π) (212) cm2 Area of Sector = (angle formed by the arc/360) (area of a circle) = (22.5/360)(π)(212 ) cm2 = 86.6250 The answer is 86. 6250

Source: SSC CHSL 2023 (Tier-I) Previous Year Paper (07-Aug-2023) (Shift 2) — prepp.in · reliable-secondary

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