Question

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

Answer 1

Radius of circles are 8cm and 6cm

Area of circle with radius 8cm = π(8)²=64πcm²

Area of circle with radius 6cm = π(6)²=36π cm²

Areas sum = 64π + 36π = 100π cm²

Radius of circle be x cm

Area = πx²

πx² = 100π

x²=100

⇒x=√100=10cm