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.

Answer 1

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.