The radii of two circles are and respectively. Find the radius and area of the circle which has circumferences is equal to sum of the circumference of two circles.

As, per the question it is given that

Radius of circle

Radius of circle

We all know that formula for finding, the circumference of a circle (C)

Thus, C₁ = 2πr₁ and

Assume the radius be r of the circle which is to be found and its circumference (C)

Then, from the question it is given

[After dividing by both sides]

Therefore, the radius of the circle

Thus, the area of required circle