Question

What is the area of the circle that can be inscribed in a square of side 6cm?

Answer 1

From figure, $AB=BC=CD=DA=6cm$

$PR$ is the diameter of the circle, inscribed in the square $ABCD$

$\therefore PR=sideofthesquare=6cm$

$\therefore Radius=\frac{6}{2}=3$

$Area=\pi r^2=\frac{22}{7}\times 3^2$

$=\frac{22}{7}\times 9$

$\therefore Areaofcircle=28.28c{m}^2$