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


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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