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What is the diameter of a circle whose area is equal to the sum of the areas of two circles of radii 40cm and 9cm? - Mathematics

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प्रश्न

What is the diameter of a circle whose area is equal to the sum of the areas of two circles of radii 40cm and 9cm?

योग

उत्तर

Area of the circle = sum of areas of 2 circles

πR2 = π(40)2 + π(9)2

πR2 = π × (402 + 9)2

R2 = 1600 + 81

R2 = 1681

R = 41 cm.

Diameter of required circle = 41 × 2 = 82 cm

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