Areas of two circles are equal. Is it necessary that their circumferences are equal? Why?
True
Solution
Use area of circle
Let two circles having radius r1 and r2
Here it is given that their areas are equal
We know that circumference of circle =
Circumference of circle with radius r1 = 2πr1
Circumference of circle with radius r2 = 2πr2 …..(1)
Put r2 = r1 in (1) we get
2πr1 = 2πr2
Hence the circumference of given circle are also equal because two circles with equal radii will also have equal circumference.
Therefore, the given statement is True.