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.