A chord of a circle of radius 21 cm makes a right angle at the centre. Find the area of the major segment (take π = 22/7) closest to the nearest integer.
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 1260 cm2.
Sector area = (90/360) × (22/7) × 212 = 346.5 cm2
ΔAOB area = (1/2) × 21 × 21 = 220.5 cm2
Minor segment = 346.5 - 220.5 = 126 cm2
Major Segment = [(22/7) × 212] - 126 = 1386 - 126 = 1260 cm2