The area of a circle is equal to the sum of the areas of two circles of radii 24 cm and 7 cm. The diameter of the new circle is

Let the bigger circle be C1 and other circles be C2 and C3


Radius of circle C1 = r1


Radius of circle C2 = r2 = 24 cm


Radius of circle C3 = r3 = 7 cm


Area of circle C2 =


= π × 242 = 576π


Area of circle C3 =


= π × 72 = 49π


Area of circle C1 = Area of circle C2 + Area of circle C3



= 576π + 49π


= 625π


r1 = 25 cm


Diameter of new circle = 25 × 2 cm = 50cm

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