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)
[tex]C_{1}=2 \pi a\\\\C_{2}=2 \pi b\\\\2 \pi a=2 \pi b\\\\a=b[/tex]
Radii of two circles are equal.
→→Area of circle =π×(Radius)²
[tex]A_{1}=\pi a^2\\\\A_{2}=\pib^2\\\\a=b\\\\A_{2}=\pi a^2\\\\A_{1}=A_{2}[/tex]
So,the areas of two circles are equal.