Question

Find the area of the circle in which a square of area $64c{m}^2$ is inscribed. [Use $\pi =3.14$]

Answer 1

Area of the square $=64c{m}^2$

So, its side, $a=\sqrt{64}=8cm$

As we can see, the diagonal of the square is the diameter of the circle.

Now, length of diagonal $=\sqrt{2}a=8\sqrt{2}cm$

So, radius of the circle, $r=\frac{8\sqrt{2}}{2}=4\sqrt{2}cm$

Area of the circle $=\pi r^2=\frac{22}{7}\times 4\sqrt{2}\times 4\sqrt{2}=100.57c{m}^2$