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Question

Find the diameter of the circle whose area is equal to the sum of the areas of two circles having radii 4 cm and 3 cm.

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Solution

Area of circle = Area of circle of radius 4cm+ Area of circle of radius 3cm
Area of circle =π(4)2+π(3)2
πr2=16π+9π
πr2=25π
r=5
Radius of circle =5cm
Diameter of circle =2r=10cm

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