Question

if a circle and square have the same perimeter which has the larger area

Answer 1

This shows that given the same perimeter, the square will have area π times the circle, which is always smaller! ... For the circle, perimeter (or circumference) is P, the area is (P^2) / 4 pi. So the area of the circle is bigger by a factor of 4 divided by pi, or about 1.273 times.