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spindi ogradius2gmentofthecirde(Use,s314|NCERT EXEMPLARI7) A chord of a circle of radius 20 cm subtends an angle of 90° at the centre. Find the areaof the corresponding major segment of the circle. (Use Ď = 3.14) |
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Answer» r = 20cm¤ = 90°Area of sector = theta/360 * π * r2 = 90/360 * 22/7 * 20 * 20 = 1/4 * 22/7 * 20 * 20 = 2200/7314.2 cm2 Area of triangle = 1/2 * base * height = 1/2 * 20 *20 (base and height both are r ) = 200 cm2 Area of minor segment = 314.2 - 200 = 114.2 cm2 major segment = area of circle - 114.2 = π * r2- 114.2 =22/7 * 20 * 20 -114.2 = 1142 .94 cm2 hai |
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