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 $k$

Belgium is famous for its French fries, which are often served in cones made from newspaper. Rene makes a paper cone from a semicircle cut from a page of his local newspaper. The page measures $410 \mathrm{mm}$ by $315 \mathrm{mm}$.

The radius of the base of the paper cone will then be [Assume $\mathrm{\pi }=\frac{22}{7}$]

Belgium is famous for its French fries, which are often served in cones made from newspaper. Rene makes a paper cone from a semicircle cut from a page of his local newspaper. The page measures $410 \mathrm{mm}$ by $315 \mathrm{mm}$.

Find the circumference of the circular base to the nearest whole number. [Assume $\mathrm{\pi }=\frac{22}{7}$]

Belgium is famous for its French fries, which are often served in cones made from newspaper. Rene makes a paper cone from a semicircle cut from a page of his local newspaper. The page measures $410 \mathrm{mm}$ by $315 \mathrm{mm}$.

Which of the following diagram represents the semi-circle which has been cut from the newspaper?

What is Sector of a circle?

In figure, $\mathrm{APB}$ and $\mathrm{AQO}$ are semicircles, and $\mathrm{AO} = \mathrm{OB}$. The perimeter of the figure is $40 \mathrm{cm}$. If the area of the following region is $k {\mathrm{cm}}^2$, then find the value of $k$ considering $\mathrm{\pi }=\frac{22}{7}$.( write the answer in decimals)

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.

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 $\pi =\frac{22}{7}$)

The perimeter of sector of a circle of radius $R=2 \mathrm{units}$ with central angle $\theta =90°$ is $($_____$+\mathrm{\pi })$ units.