Question
A circle has a radius of 15 cm, and a chord subtends a
central angle of 60° at the center. Find the area of the segment formed by the chord.Solution
Area of sector = (θ/360) × πr² = (60/360) × π(15)² = (1/6) × π(225) = 117.75 cm². Area of triangle = (1/2) × base × height = (1/2) × 15 × (15 × √3 / 2) = 97.425 cm². Area of segment = 117.75 – 97.425 = 20.325 cm².
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