Write the formula for the distance travelled by a circular wheel.

‘O’ is the centre of the circle. The area of the shaded region in the given figure is $126 c{m}^2 , \overline{PQ} = \overline{PR}$ then the diameter $QR$ is:

In the figure, $a, b, c$ are the sides of a right triangle where $c$ is the hypotenuse. Prove that the radius $r$ of the circle which touches the sides of the triangle is given by $r=\frac{a+b+c}{2}$.

In the given figure, three circles with centres $A, B, C$ respectively touch each other externally. If $AB=5cm, BC=7cm$ and $CA=6cm$, then the radius of the circle with centre $A$ is

From the figure of $\odot \left(O,r\right)$ match the following. The correct option is _____

Match

$\left(1\right) \overline{AC}\cup \stackrel{⏜}{ABC}$                 $\left(a\right)2r$

$\left(2\right)\overline{OA}$ length                      $\left(b\right)r$

$\left(3\right)\overline{AC}$ length                      $\left(c\right)\mathrm{\pi r}+2\mathrm{r}$

The circumference of the base of a cylindrical vessel is $132 cm$ and its height is $25 cm$. Find the radius of the cylinder.

If the circumference of the circle whose radius is $3.5 \mathrm{cm}$ is $k \mathrm{cm}$, find the value of $k$. [Use, $\mathrm{\pi }=\frac{22}{7}$]

If the length of the diameter of the circle whose circumference is $8.8 \mathrm{cm}$ is $k \mathrm{cm}$, find the value of $k$ in decimal. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$

If the length of the diameter of the circle whose circumference is $44 \mathrm{cm}$ is $k \mathrm{cm}$, find the value of $k$. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$

If the length of the radius of the circle whose circumference is $11 \mathrm{cm}$ is $k \mathrm{cm}$, find the value of $k$. [Use $\mathrm{\pi }=\frac{22}{7}$ and express the value of $k$ in decimal]

If the circumference of the circle whose diameter is $7 \mathrm{cm}$ is $k \mathrm{cm}$, then find the value of $k$. [Use, $\mathrm{\pi }=\frac{22}{7}$]

If the circumference of the circle whose diameter is $49 \mathrm{cm}$ is $k \mathrm{cm}$, find the value of $k$. Use $\mathrm{\pi }=\frac{22}{7}$

If the circumference of the circle whose diameter is $14 \mathrm{cm}$ is $k \mathrm{cm}$, then find the value of $k$. Use $\mathrm{\pi }=\frac{22}{7}$