R. D. Sharma Solutions for Chapter: Mensuration – II (Area of Circle), Exercise 1: EXERCISE

A rhombus has the same perimeter as the circumference of a circle. If the side of the rhombus is $2.2 \mathrm{m}$, find the radius of the circle (in $\mathrm{m}$). Write your answer in one decimal place.

(Use: $\mathrm{\pi }=\frac{22}{7}$ ).

A wire is looped in the form of a circle of radius $28 \mathrm{c}\mathrm{m}$. It is re-bent into a square form. Determine the length of the side of the square (in $\mathrm{cm}$). (use $\mathrm{\pi }=\frac{22}{7}$ ).

 A bicycle wheel makes $5000$ revolutions in moving $11 \mathrm{km}$. Find the diameter of the wheel (in $\mathrm{cm}$).  (use: $\mathrm{\pi }=\frac{22}{7}$ ).

A boy is cycling such that the wheels of the cycle are making $140$ revolutions per minute. If the diameter of the wheel is $60 \mathrm{cm}$, calculate the speed in $\mathrm{km}$ per hour with which the boy is cycling.  (use: $\mathrm{\pi }=\frac{22}{7}$ ). Write your answer in two decimal places.

The diameter of the driving wheel of a bus is $140 \mathrm{cm}$. How many revolutions per minute must the wheel make in order to keep a speed of $66 \mathrm{km}$ per hour?  (use: $\mathrm{\pi }=\frac{22}{7}$ ).

A water sprinkler in a lawn sprays water as far as $7 \mathrm{m}$ in all directions. If the length of the outer edge of wet grass is  $\mathrm{k} \mathrm{m}$, find $k$. (use: $\mathrm{\pi }=\frac{22}{7}$ ).

A well of diameter $150 \mathrm{cm}$ has a stone parapet around it. If the length of the outer edge of the parapet is $660 \mathrm{cm}$, then find the width of the parapet (in $\mathrm{cm}$).   (use: $\mathrm{\pi }=\frac{22}{7}$ )

An Ox in a kolhu (an oil processing apparatus) is tethered to a rope $3\mathrm{m}$ long. If the distance covered in $14$ rounds is $k \mathrm{m}$, find $k$.