The circumference of a circle and the perimeter of a square are each 50 cm. which figure has the greater area.
The circle has more area:
pi x d = circumference
pi x d = 50 d= 15.91 so r= 1/2 d = 7.96cm Area = pi r^2 = pi (7.96)^2 = 198.9 sq cm (Circle)
The square has four sides 4x=50 x=side length= 50/4 = 12.5cm Area = 12.5 x 12.5 = 165.25 sq cm (Square)