Circumference and Area of a Circle

A piece of wire is bent in the shape of an equilateral triangle of side $4.4 \mathrm{cm}$. If this A piece or wire is bent in the form of a circle, find the radius and the area of the circle.

A circular wooden floor is to be polished.If the radius of the floor is $1.4 \mathrm{m}$ and the rate of polishing is $\mathrm{Rs}. 250 \mathrm{per} {\mathrm{m}}^2$, find the total cost of polishing the floor.

Find the length of the diameter of a circle whose circumference is $44 \mathrm{cm}$

The diameter of a circular gear is $1.75m$ Find the area and perimeter of the gear.

Pi represents the ratio of the circumference of a circle to its _____.

What is the definition of $\pi$ (pi)?

Find the area of quadrant (in ${\mathrm{cm}}^2$) with radius $7 \mathrm{cm}$.

The approximate value of $\mathrm{\pi }$, correct to two decimal places is _____.

If the radius of a circle whose perimeter is $500 \mathrm{m}$ is $x \mathrm{m}$, then find the value of $x$ in mixed fraction. Take $\mathrm{\pi }=\frac{22}{7}$. 

In Fig., the area enclosed between two concentric circles is $770 {\mathrm{m}}^2$. If the radius of the outer circle is $21 \mathrm{m}$, find the radius of the inner circle in $\mathrm{m}$.

A running track $14 \mathrm{m}$ wide consists of two straight sections $120 \mathrm{m}$ long joining semi-circular ends whose inner radius is $35 \mathrm{m}.$ Calculate the area of the track.

A cow is tethered to one corner of a grass field $25 \mathrm{m} \mathrm{x} 30 \mathrm{m}$, by a rope of length $15.4 \mathrm{m}$. Over how much area can it graze?

A horse is tied to a pole with $15.4 \mathrm{m}$ long rope. Find the area where the horse can graze.

The radius of a circular park is $4.2 \mathrm{m}$. A path of $1.4 \mathrm{m}$ width is made around the circular park. Find the area of the path.

The radius of a wheel of an engine is $1.75 \mathrm{m}$. How many revolutions will it make in travelling $22 \mathrm{km}$? [Assume $\mathrm{\pi }=\frac{22}{7}$]

In Fig., 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 area of the shaded region.   (Take$\pi =3.14$ )

The side of a square is $20 \mathrm{cm}$. Find the area of its circumscribed and inscribed circles.

The area of the shaded portion in terms of $ \pi $ = _____$ \pi $$ {\text{cm}}^{2}$

What is the area of the given figure?

(Please use $ \pi=3.14$)

The length of the arc of this semi circle is _____cm.

(Please use $ \pi =\frac{22}{7}$)