Question

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 is ______.

Answer 1

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 is 50 cm.

Explanation:

Let R be the required radius.

πR² = π(24²) + π(7²) 

⇒ R² = 24² + 7²

= 576 + 49

= 625

⇒ R = 25 cm

So diameter = 2R = 50 cm.