Circumference of two circles are equal. Is it necessary that their are – InterviewSolution

1.

Circumference of two circles are equal. Is it necessary that their areas be equal? Why?

Answer»

True

We are given that

Circumference of circle with radius R₁ = Circumference of circle with radius R₂

⇒ 2πR₁= 2πR₂

⇒ R₁= R₂

⇒ π(R₁)² = π(R₂)²

and hence the areas are also equal.

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