In the given figure, a square $OABC$ is inscribed in a quadrant $OPBQ$ of a circle. If $OA=20 \mathrm{cm}$, find the area of the shaded region. [Use $\pi =3.14$.]

If the area of the shaded region is $k {\mathrm{cm}}^2$, find $k$

 

In the given figure, $APB$ and $AQO$ are semicircles and $AO=OB$. If the perimeter of the figure is $40 \mathrm{cm}$, find the area of the shaded region.

If the area of the shaded region is $k {\mathrm{cm}}^2$, then find $k$

Find the area of a quadrant of a circle whose circumference is $44 \mathrm{cm}$.

If the area of the quadrant is $k {\mathrm{cm}}^2$, find $k$

In the given figure, find area of the shaded region, where $ABCD$ is a square of side$14 \mathrm{cm}$ and all circles are of the same diameter.

If area of the shaded region is $k {\mathrm{cm}}^2$, find $k$. (Use $\mathrm{\pi }=\frac{22}{7}$)

Find the area of the shaded region in the given figure, if $ABCD$ is a rectangle with sides $8 \mathrm{cm}$ and $6 \mathrm{cm}$ and $O$ is the centre of the circle.

If the shaded area is $k {\mathrm{cm}}^2$, find $k$

A wire is bent to form a square enclosing an area of $484 {\mathrm{m}}^2$. Using the same wire, a circle is formed. Find the area of the circle.

If the $k {\mathrm{cm}}^2$, then find $k$

A square $ABCD$ is inscribed in a circle of radius $r$. Find the area of the square.

If the area of the square is $k$, then find $\frac{k}{r^2}$

The cost of fencing a circular field at the rate of $₹25$ per metre is $₹5500$. The field is to be ploughed at the rate of $50$ paise per ${\mathrm{m}}^2$. Find the cost of ploughing the field. [Take$\pi =\frac{22}{7}$]

If the the cost of ploughing the field is $₹k$, find $k$

A park is in the form of a rectangle $120 \mathrm{m}$ by $90 \mathrm{m}$. At the centre of the park there is a circular lawn as shown in the figure. The area of the park excluding the lawn is $2950 {\mathrm{m}}^2$. Find the radius of the circular lawn. (given: $\pi =3.14$)

If the radius of the circular lawn is $k \mathrm{cm}$, find $k$