The area between two concentric circles is $1078 {\mathrm{cm}}^2$. The circumference of the inner circle is $132 \mathrm{cm}$. Find the width of the ring?

 

In $△ABC$, $AB=BC$, $AC=42 \mathrm{cm}$ and $\angle B=90°$. On $AC$ as diameter, a semicircle is described. Find the area of the figure.

Calculate the area of shaded figure if the diameter of the semicircle is $14 \mathrm{cm}$. Take $\left(\mathrm{\pi }=\frac{22}{7}\right)$

$PQRS$ is a square piece of land of side $56 \mathrm{m}$. Two semicircular grass covered lawns are made on two of ts opposite sides as shown in the figure. Calculate the area of the uncovered portion.

The gate at the entrance of a garden looks like the given figure from the front. The length and breadth of each rectangle are $4 \mathrm{m}$ and $70 \mathrm{cm}$ respectively. The width of the entrance is $2.8 \mathrm{m}$. The top arch is made up of two concentric semicircles. Find the height of the entrance

The gate at the entrance of a garden looks like the given figure from the front. The length and breadth of each rectangle are $4 \mathrm{m}$ and $70 \mathrm{cm}$ respectively. The width of the entrance is $2.8 \mathrm{m}$. The top arch is made up of two concentric semicircles. Find the area of the face of the gate

In the kite shown below, $ABCD$ is a square. $BCD$ is a quadrant of a circle of radius $14 cm$ and $CEF$ is an isosceles right-angled triangle with $CE=CF=3 cm$. Find the area of the shaded portion.

Find the circumference of the circle (in $\mathrm{cm}$) whose area is equal to the sum of the areas of three circles with radii $2 \mathrm{cm}, 3 \mathrm{cm}$ and $6 \mathrm{cm}$.