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Question

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.

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Solution

Let r be the radius of the circle whose area is equal to the sum of the areas of circles of radii 8 cm and 6 cm. Then,

πr2=π×82+π×62

r2=100

r=10 cm


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