What is the perimeter of the given figure in $\mathrm{cm}$?

‘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 $r=\frac{a+b+c}{2}$.

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

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                      $\left(c\right)\mathrm{\pi r}+2\mathrm{r}$

Find the perimeter of the figure.

Avneet buys $9$square paving slabs, each with a side of $\frac{1}{2}$ $\mathrm{m}$. He lays them in the form of a square. Shari does not like his arrangement. She gets him to lay them out like a cross. If the perimeter of her arrangement is $A \mathrm{m}$, then find the value of $A$.

Draw (if possible) a polygon inside an equilateral triangle such that the perimeter of the polygon is greater than that of the equilateral triangle.

A square shaped park $\mathrm{ABCD}$of side $100 \mathrm{m}$ has two equal rectangular flower beds each of size $10 \mathrm{m} \mathrm{x} 5 \mathrm{m}$. Length of the boundary of the remaining park is:

To find the cost of a frame of a picture, we need to find the perimeter of the picture.

Following figures are formed by joining six unit squares. Which figure has the smallest perimeter?

Avneet buys $9$ square paving slabs, each with a side of $\frac{1}{2}$ $\mathrm{m}$. He lays them in the form of a square. Shari does not like his arrangement. She gets him to lay them out like a cross. Which has greater perimeter?

Find the perimeter of the following:

A parallelogram of length $21 \mathrm{cm}$ and breadth $15 \mathrm{cm}$