If the sum of the areas of two circles with radii R₁ and R₂ is equal to the area of a circle of radius R, then

Question

If the sum of the areas of two circles with radii R 1 and R 2 is equal to the area of a circle of radius R, then

Philoid · Accepted Answer

We are given that

Area of circle = Area of first circle + Area of second circle

∴ πR² = πR₁² + πR₂²

⇒ R² = R₁² + R₂²

∴ option B is correct.

If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then