Question

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

(A) R₁ + R₂ = R 

(B) R₁ + R₂ > R

(C) R₁ + R₂ < R 

(D) Nothing definite can be said about the relation among R₁, R₂ & R.

Answer 1

(A) R₁ + R₂ = R

Explanation:

According to the question,

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.