Embibe Experts Solutions for Chapter: Areas Related to Circles, Exercise 1: Gujarat Board-2018

$∆ABC$ is right angled. The measures of the sides forming right angle are $x$ and $y$. The radius of the circle touches all the sides of $∆ABC$ is _____

Length of minor arc $\odot \left(P,r\right)$ is $l$. The area of the sector$=$_____

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 length of an arc subtending an angle of measure $60°$ at centre of the circle, whose area is $616 \mathrm{sq}.\mathrm{cm}.$ is _____

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

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

A man of height $156 \mathrm{cm}$ stands under a semicircular arc at a distance of $36 \mathrm{cm}$ from one end such that his head touches the arc. Find the width of the arc.

From each corner of a square of side $4 \mathrm{cm}$, a quadrant of a circle of radius $1 \mathrm{cm}$ is cut and also a circle of diameter $2 \mathrm{cm}$ as shown in the figure below. Find the area of the remaining portion of the square $($ Take $\mathrm{\pi }=\frac{22}{7}$)