Mathematics

Mathematics

Problem

A minor segment is cut from a circle of radius 14 cm14\,\text{cm} by a chord that subtends an angle of 60∘60^{\circ} at the centre. What is the area of the segment? a) 196π3−493 cm2\dfrac{196\pi}{3} - 49\sqrt{3}\,\text{cm}^2 b) 98π3+493 cm2\dfrac{98\pi}{3} + 49\sqrt{3}\,\text{cm}^2 c) 98π3−493 cm2\dfrac{98\pi}{3} - 49\sqrt{3}\,\text{cm}^2 d) 98π3−983 cm2\dfrac{98\pi}{3} - 98\sqrt{3}\,\text{cm}^2

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