Mensuration Practice Test 1

Let the perimeter of the square = Circumference of the circle.
4a = 2πr = 88
4a = 88
a = 22
Area of the square = 22 × 22 = 484 ${\mathit{m}}^2$
or 2πr = 88
r = $88\times \frac{7}{22}\times \frac{1}{2}$ = 14
Area of the circle = $\mathit{\pi }{\mathit{r}}^2$
= $\frac{22}{7}\times 14\times 14$
= 616 ${\mathit{m}}^2$
Area of the circle > area of the square