Question

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

Answer 1

Answer:Area of first circle = πr²

= π8² = 64π sq cm

Area of second circle = π6² = 36π sq cm

As per question; area of the largest circle = 64π + 36π

= 100π sq cm

Or, πr² = 100π

Or, r² = 100

Or, r = 10 cm