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

The relation between arc of the circle, angle subtended by the arc at the centre and radius is

Find the length of arc and area of sector of the circle, if the angle subtended at the centre and the radius are $60°$ and $6 \mathrm{cm}$ respectively.

In a circle of radius $21$cm an arc subtends an angle of $60°$ at the centre. Find the length of the arc.

In a circle of radius $21$cm an arc subtends an angle of $60°$ at the centre. Find the area of the sector.

The radii of two circles are $19 \mathrm{c}\mathrm{m}$ and $9 \mathrm{c}\mathrm{m}$ respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles. 

A chord of a circle of radius $10 \mathrm{cm}$ subtends a right angle at the centre. Find the area of the corresponding minor segment.

An umbrella has $8$ ribs which are equally spaced. Assuming umbrella to be a flat circle of radius $45 \mathrm{cm}$, find the area between the two consecutive ribs of the umbrella.

Find the area of the shaded region in given figure if $ABCD$ is a square of side $14 \mathrm{cm}$ and $APD$ and $BPC$ are semicircles.