In the figure given below, $ABCD$ is a rectangle, $AB=14 \mathrm{cm}$ and $BC=7 \mathrm{cm}$. Taking $DC, BC \text{and} AD$as diameters, three semicircles are drawn as shown in the figure. Find the area of the shaded portion.

 

In the figure given below, $O$ is the centre of a circle with $AC=24 \mathrm{cm}$, $AB=7\mathrm{cm} \text{and} \angle BOD=90°$. Find the area of the shaded region. Use$(\mathrm{\pi }=3.14)$

In the figure given below, $ABCD$ is a square of side $14 \mathrm{cm}$. $A, B, C \text{and} D$ are centres of the equal circles which touch externally in pairs. Find the area of the shaded region.

In the figure given below, the boundary of the shaded region in the given diagram consists of three semi-circular arcs, the smaller being equal. If the diameter of the larger one is $10 \mathrm{cm}$, calculate.

(i) the length of the boundary.

(ii) the area of the shaded region. (Take $\mathrm{\pi }$ to be $3.14$)

In the figure given below, the points $A, B\text{ and} C$ are centres of arcs of circles of radii $5 \mathrm{cm}, 3 \mathrm{cm} \text{and} 2 \mathrm{cm}$respectively. Find the perimeter and the area of the shaded region.(Take $\mathrm{\pi }$$=3.14$)

In the figure given below,$ABCD$ is a square of side $4 \mathrm{cm}$. At each corner of the square a quarter circle of radius $1 \mathrm{cm}$, and at the centre a circle of diameter $2 \mathrm{cm}$ are drawn. Find the perimeter and the area of the shaded region. Take $\mathrm{\pi }$$=3.14$

In the figure given below, $ABCD$ is a rectangle. $AB=14 \mathrm{cm}, BC=7 \mathrm{cm}$. From the rectangle, a quarter circle $BFEC$ and a semicircle $DGE$ are removed. Calculate the area of the remaining piece of the rectangle.(Take $\mathrm{\pi }$ $=\frac{22}{7}$)

The figure given below shows a kite, in which $BCD$ is in the shape of a quadrant of a circle of radius $42 \mathrm{cm}$. $ABCD$ is a square and $\Delta CEF$ is an isosceles right angled triangle whose equal sides are$6 \mathrm{cm}$ long. Find the area of the shaded region.

In the figure given below, the boundary of the shaded region in the given diagram consists of four semi-circular arcs, the smallest two being equal. If the diameter of the largest is $14 \mathrm{cm}$ and of the smallest is $3.5 \mathrm{cm}$, calculate

(i) the length of the boundary

(ii) the area of the shaded region