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Question
Find the diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm.
Solution
Area of the circle = Area of first circle + Area of second circle
⇒ πR2 = π(r1)2 + π (r1)2
⇒ πR2 = π(24)2 + π(7)2
⇒ πR2 = 576π + 49π
⇒ πR2 = 625π
⇒ R2 = 625
⇒ R = 25
Thus, diameter of the circle = 2R = 50 cm.
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