Chhattisgarh Board Solutions for Exercise 1: Exercise

A horse is tied by a $14$ meter long rope in a ground. What is the area of the ground, that the horse can graze, if he can move up to the full length of rope?

Radius of a bicycle wheel is $35 \mathrm{cm}$. How much distance will it cover in $500$ complete rotations?

Radius of a circle is $3$ meter, what would be the radius of a circle whose area is $9$ times the area of the first circle?

Inner circumference of a circular path is $440 \mathrm{m}$. Width of the path is $14 \mathrm{m}$. Find diameter of the outer circle of the circular path.

A circular ground of radius $50$ meter is surrounded by a $5$ meter wide road. You want to cover the road with tile. Find the total cost of tiling if the rate of tiling per square meter is $30$ rupees.

You are given a sector which subtends an angle of $70°$ at the centre of the circle with radius $21 \mathrm{cm}$. Find the length of the arc and area of the given sector.

Area of a sector of the circle is $\frac{1}{6}$ times the area of the circle. Find the angle subtended at the centre by the given sector.

Area of a sector is $1540 \mathrm{sq} \mathrm{cm}$, it subtends an angle of $50°$ at the centre of the circle. Find the radius of the circle.