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

Sides of a triangular field are $15 \mathrm{m}, 16 \mathrm{m}$ and $17 \mathrm{m}$. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length $7 \mathrm{m}$ each to graze in the field.

The area of the fields which cannot be grazed by the three animals is $?$ [Use, $\mathrm{\pi }=\frac{22}{7}$]

In the figure, four congruent circles with radii $7 \mathrm{cm}$ are shown, What is the area of the shaded region ?

A chord of a circle subtends an angle of $60°$ at the centre. If the length of the chord is $12 \mathrm{cm}$, find the area of the two segments into which the chord divides the circle (take $\mathrm{\pi }=3.14$ and $\sqrt{3}=1.73$)

Find the perimeter of the major sector.

A frame for a mirror is in the shape of a rectangle with a curved top as shown in the diagram. The vertical sides of the frame are $50 \mathrm{cm}$ long, and the top is an arc with central angle $97°$ and radius$20 \mathrm{cm}$. Calculate the perimeter of this frame.

In the figure, three circles each of radius $3.5 \mathrm{cm}$ are drawn in such a way that each of them touches the other two. Find the area enclosed between these three circles.

Find the length of the major arc.

Find the length of the minor arc.