What is the area of the segment formed by a chord in a circle of radius 10 cm, if the angle subtended at the center is 90°?
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Correct answer: A
Explanation
Given:
Radius (r) = 10 cm
Central angle (θ) = 90°
By the formula:
sector = (θ/360) × πr²
sector = (90/360) × π × 10² = 25π
triangle = (1/2) × 10² × sin90° = 50
Area of line segment = 25π − 50