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

Question

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

Philoid · Accepted Answer

We are given that

Circumference of circle with radius R = Circumference of first circle with radius R₁ + Circumference of second circle with radius R₂

∴ 2πR = 2πR₁+ 2πR₂

⇒ R = R₁+ R₂

∴ option A is correct.

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