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 ______.

Options

• R₁ + R₂ = R

• R₁ + R₂ > R 

• R₁ + R₂ < R

• Nothing definite can be said about the relation among R₁, R₂ and R.

• None of these 

Answer 1

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 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