Multiple choice

What will be the diameter of that circle whose area is equal to the areas of two circles having radii 5 m. and 12 m. respectively.

  1. 26 m.

  2. 28 m.

  3. 30 m.

  4. 32 m.

  5. 24 m.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of first circle = π × 5^2 = 25π. Area of second = π × 12^2 = 144π. Combined area = 169π. For the new circle: π × r^2 = 169π, so r^2 = 169 and r = 13. Diameter = 2 × 13 = 26 m. Option A is correct.