Are two circles with the same perimeter congruent Why or why

Solution

When the circle has the same perimeter then the radius is the same.

2pi*r2 = 2*pi*r1

r1=r2

If the circles are of the same radius then the two circle are congruent.

So, the area is pi*r1^2 = pi*r2^2

since, r1=r2