Areas of two circles are equal. Is it necessary that their circumferences are equal? Why?

True

We are given that


Area of circle with radius R1 = Area of circle with radius R2


⇒ π(R1)2 = π(R2)2


⇒ R1= R2


⇒ 2πR1= 2πR2, and hence the circumferences are also equal.


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