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
9