How can you find the area of major segment using area of minor segment?

In the following figure, three semicircles are given. If $OA=OB=2 \mathrm{cm}$, then the area of the whole figure$=$_____${\mathrm{cm}}^2$

Find the area of the shaded region in the figure below, where a circular arc of radius $6 \mathrm{cm}$ has been drawn with vertex $\mathrm{O}$ of an equilateral triangle $\mathrm{OAB}$ of side $12 \mathrm{cm}$ as centre.

In the following figure, $ABCD$ is a square. Find the area of shaded region. $\left(\pi =3.14\right)$. Each sector is of same area.

What will be the cost of making design in the coloured region at the rate of $₹25$ per $c{m}^2$?

In the figure, $ABCD$ is a unit square. A circle is drawn with centre $O$ on the extended line $CD$ and passing through $A.$ If the diagonal $AC$ is tangent to the circle, then the area of the shaded region is

Find the area of a sector of a circle of radius $6 \mathrm{cm}$, if the angle of the sector is ${60}^o$.

Write the formula for the area of a sector of angle $\theta °$ of a circle of radius $\text{'}r\text{'}$.

Find the area of the shaded region in figure, if radii of the two concentric circles with centre $O$ are $7 \mathrm{cm}$ and $14 \mathrm{cm}$ respectively and $\angle AOC=40°$.

The degree measure of the angle at the centre of a circle is $1.$The area of the sector is

Let $A_1, A_2$ and $A_3$ be the regions on $R^2$ defined by

$A_1=\left\{\left(x,y\right):x\ge 0,y\ge 0,2x+2y-x^2-y^2>1>x+y\right\}$

$A_2=\left\{\left(x,y\right):x\ge 0,y\ge 0,x+y>1>x^2+y^2\right\}$

$A_3=\left\{\left(x,y\right):x\ge 0,y\ge 0,x+y>1>x^3+y^3\right\}$

Denote by $\left|A_1\right|, \left|A_2\right|$ and $\left|A_3\right|$ the areas of the regions $A_1, A_2$ and $A_3$ respectively. Then

$AB \mathrm{and} CD$ are the arcs of two concentric circles with centre $O$ of radius $21 \mathrm{cm}$ and $7 \mathrm{cm}$ respectively. If $\angle AOB=30°$ as shown in the figure, find the area of the shaded region.

In a circle of radius $21 \mathrm{cm}$, an arc subtends an angle of $60°$ at the centre. Find the area of the sector formed by the arc.

Find the area of the sector of a circle with radius $4 \mathrm{cm}$ and angle $30°$. Also, find the area of the corresponding major sector. (use $\mathrm{\pi }=3.14$)

A semi - circle of diameter $1$ unit sits at the top of a semi-circle of diameter $2$ units. The shaded region inside the smaller semi-circle but outside the larger semi-circle is called a lune . The area of the lune is -