Embibe Experts Solutions for Chapter: Areas Related to Circles, Exercise 1: CBSE-2020

Find the area of the shaded region in Fig. $2$, where arcs drawn with centres $\mathrm{A},\mathrm{B},\mathrm{C}$ and $\mathrm{D}$ intersect in pairs at mid-points $\mathrm{P},\mathrm{Q},\mathrm{R} \text{and} \mathrm{S}$ of the sides $\mathrm{AB},\mathrm{BC},\mathrm{CD} \text{and} \mathrm{DA}$ respectively of a square $\mathrm{ABCD}$ of side $12 \mathrm{cm}$. $[\text{Use} \mathrm{\pi }=3.14]$

Find the area of shaded region in Fig.$4$, if $ABCD$ is a rectangle with sides $8 cm$ and $6cm$ and $O$ o is the centre of circle $\left(Take \pi =3.14\right)$

A piece of wire $22 \mathrm{cm}$ long is bent into form of an arc of a circle subtending an angle of $60°$ at its centre. Find the radius of the circle in $\mathrm{cm}$. (Use $\mathrm{\pi }=\frac{22}{7}$)

The diameter of a car wheel is $42 \mathrm{cm}$. The number of complete revolutions it will make in moving $132 \mathrm{km}$ is:

The area of a square that can be inscribed in a circle of area $\frac{1408}{7} {\mathrm{cm}}^2$ is:

If the perimeter of a circle is half to that of a square, then the ratio of the area of the circle to the area of the square is:

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. Also find the length of the arc.

In the given figure, $AB$ and $CD$ are diameters of a circle with centre $O$ perpendicular to each other. If $OA=7 cm$, find the area of the shaded region.