A piece of wire $32 cm$ long is bent to form the figure given below. $APD$ is a semicircle and $AB=BC=CD$. Find the radius and area of the figure.

   

A square is inscribed in a circle. If the area of the shaded region is $224 c{m}^2$, calculate the radius.

A square is inscribed in a circle. If the area of the shaded region is 224 cm², calculate the area of the square.

$2$ semicircles are inscribed in a square of side $20 cm$. Find the shaded area. [Take $\mathrm{\pi }= 3.14$]

 Two semicircular flower beds are made on the outside of the smaller sides of a rectangular garden $16 m$ by $7 m$. Find the total area and perimeter.

Find the shaded area in the given rectangle: $\mathbf{ }AR=40 cm BC=21 cm$

Find the radius of the incircle of $△ABC$ and find the area of shaded region if $AB=7 cm, BC=24 cm$ and $\angle B=90°$. $($Take $\mathrm{\pi }=3.14)$

$ABCD$ is a rectangle with $AB=42 cm$and $BC=28 cm$. Two quadrants with centres B and C are drawn. Find the shaded area.

$O$ is the centre of the circle. $OR$ is the diameter of the smaller circle $RO=7 cm$. Find the area of the shaded region.