Question

a square metallic frame has a perimeter of 280 cm . it is bent in the shape of a circle. find the area of the circle

Answer 1

We have $280\,\mathrm{cm}$ of metal wire. So, the length of our circumference is $C = 280\,\mathrm{cm}$.

Using formula $C = 2\pi R$ we can find the radius $R$: $R = \frac{C}{2\pi} = \frac{280\,\mathrm{cm}}{6.28} = 44.6\,\mathrm{cm}$

If we have radius we can find the area $S$ using formula: $S = \pi R^2 = 3.14 \cdot 44.6^2\,\mathrm{cm}^2 = 6246\,\mathrm{cm}^2$