Embibe Experts Solutions for Chapter: Areas Related to Circles, Exercise 1: Goa Board-2019

The area of the circle that can be inscribed in a square of side $8 cm$ is

Find the area swept in one minute by a minute hand of a clock of length $12 \mathrm{cm}$. (Do not substitute for $\mathrm{\pi }$).

A flower bed in the form of a rectangle of dimensions $25\mathrm{m}\times 14\mathrm{m}$ with semicircles on the outer side of the shorter sides of the rectangle as shown in the fig. Calculate the number of rose plants that can be planted if each plant requires $2\mathrm{m}\times 2\mathrm{m}$ area.

The area of a ring whose outer and inner radii are $5 cm$ and $2 cm$ respectively is

In a circle of a radius $12 cm$, an arc subtends an angle of $60°$ at the centre. Therefore, the length of the arc is

In the adjoining figure, $ABC$ is a right triangle with $\angle \mathrm{B}=90°,$ $\mathrm{AB}=8 \mathrm{cm}$ and $\mathrm{CB}=6 \mathrm{cm}$. With $AC$ as a diameter a semicircle is drawn and with $BC$ as radius a quadrant of a circle is drawn, as shown in the figure. Find the area of the shaded region.