Question

Find the area of the shaded region in figure, where $ABCD$ is a square of side $14$cm

Answer 1

Side of square $ABCD=14$cm

Since $ABCD$ is a square,$AB=BC=CD=DA=14$cm

Now, Diameter of each circle$=\frac{AB}{2}=\frac{14}{2}=7$cm

Radius of each circle$=\frac{Diameter}{2}=\frac{7}{2}$cm

Area of shaded region$=$Area of square $ABCD-$Area of $4$ circles.

$={\left(side\right)}^2-4\times \pi r^2$

$={14}^2-4\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}$

$=196-154=42{cm}^2$