Perimeter and Area of a Circle

The area of a circle is $220 {\mathrm{cm}}^2$. If area of the square inscribed in it is $k {\mathrm{cm}}^2$, then find the value of $k$. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$

If the diameter of a circle whose area is equal to the sum of the areas of the two circles of radii $24 \mathrm{cm}$ and $7 \mathrm{cm}$ is $k \mathrm{cm}$, then find the value of $k$

What is Sector of a circle?

The difference between the circumference and diameter of a circle is $120 \mathrm{cm}$. If the radius of the circle is $k \mathrm{cm}$, find the value of $k$ considering $\mathrm{\pi }=\frac{22}{7}$.

The circumference of a circle exceeds its diameter by $45 \mathrm{cm}$. If the circumference of the circle is $k \mathrm{cm}$, then find the value of $k$ considering $\mathrm{\pi }=\frac{22}{7}$.

The perimeter of a circular dining table is $66 \mathrm{cm}$. If the radius of the table, corrected up to two decimal places is $k \mathrm{cm}$ then find $k$ considering $\mathrm{\pi }=\frac{22}{7}$. ( write the answer in decimals)

A racetrack is in the form of a ring whose inner circumference is $352 \mathrm{m}$ and outer circumference is $396 \mathrm{m}$. If the width of the track is $A \mathrm{m}$ and the area of the track is $B {\mathrm{m}}^2$, then find the value of $A+B$ considering $\mathrm{\pi }=\frac{22}{7}$.

The difference between circumference and diameter of a circle is $135 \mathrm{cm}$. Find the radius of the circle. $\left[\text{ Take }\pi =\frac{22}{7}\right]$

Find the area of a circular park whose radius is $4.5 \mathrm{m}.$ (Take $\pi =\frac{22}{7}$)

Rishabh has a motorcycle with wheels of diameter $91 \mathrm{cm}.$There are $22$ spokes in the wheel. Find the length of the arc between two adjoining spokes.

A bucket full of water is raised from a well by means of a rope which is wound around a pulley of diameter $77 \mathrm{cm}.$ Bucket takes $1$ minute $28$ seconds to ascend at a uniform speed of $1.1 \mathrm{m}/\sec$. Find the number of revolutions which the pulley makes in raising the bucket.

The circumference of a circle exceeds its diameter by $45 \mathrm{cm}$. Find the circumference of the circle (in cm).

If the perimeter of a semicircular protractor of Nitish is $36 \mathrm{cm},$ find its diameter.

In the given figure, $APB$ and $CQD$ are semicircles of diameter $7 \mathrm{cm}$ each, while $ARC$ an $BSD$ are semicircles of diameter $14 \mathrm{cm}$ each. Find the perimeter of the shaded region.

In the figure, $ABCD$ is a square of side $14 \mathrm{cm}$. $A\mathit{,}B,C$ and $D$ are the centres of four congruent circles such that each circle touches externally two of the remaining three circles. Find the area of the shaded region in square centimetre.

If the area of a circle is $49\pi$ sq.units then its perimeter is,

A CCTV camera is placed on the top of a $24 \mathrm{m}$ high pole in such a way that traffic can be seen beyond $25 \mathrm{metre}$ of line of sight of it. Find the area of the Green patch around the pole.

Find the area of the square (in square centimeter) inscribed in a circle of radius $10 \mathrm{cm}.$

The cost of constructing a boundary wall of a circular field is $₹5280$ at the rate of $₹24$ per $\mathrm{m}$. Find the cost of ploughing this field at rate of $₹0.50$ per ${\mathrm{m}}^2$. (Take $\pi =\frac{22}{7}$)

In the given figure, radius of the semi-circle is $7 \mathrm{cm}$. The area of the circle formed inside the semi-circle is $k {\mathrm{cm}}^2$. Find $2k$.