Question
Find the angle subtended at the center by an arc of a
sector whose area is 462 cm² and radius is 21 cm. (Use π = 22/7)Solution
ATQ,
Area of sector = (A/360) × π × radius²
(A/360) × (22/7) × 21² = 462
(A/360) × 1,386 = 462
A = (462 × 360) / 1,386
A = 120°
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