Question

If two circles have the same circumference what do you know about their areas

Answer 1

The areas are also the same

Answer 2

Answer with explanation:

Let , two circles have radii, equal to, a and b.

Circumference of two circles are equal.

Circumference of Circle =2 π × (Radius)

`C_(1)=2 \pi a\\\\C_(2)=2 \pi b\\\\2 \pi a=2 \pi b\\\\a=b`

Radii of two circles are equal.

→→Area of circle =π×(Radius)²

`A_(1)=\pi a^2\\\\A_(2)=\pib^2\\\\a=b\\\\A_(2)=\pi a^2\\\\A_(1)=A_(2)`

So,the areas of two circles are equal.