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From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm²) of this sector.

SSC · 2024 · Quantitative Aptitude
Question:
From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm²) of this sector.

Options

(1) 86.525
(2) 86.625
(3) 86.875
(4) 86.125
Answer: (2) 86.625

Explanation:
Area of sector = (1/2) × r × l = (1/2) × 15.75 × 11 = 86.625 cm².

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