O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 1: Exercise

Find the radius of the circle if the circumference is $100 \mathrm{m}$. Use $(\mathrm{\pi }=3.14)$

The inner edge of a circular running track is $440 \mathrm{m}$ long. If the track is $10 \mathrm{m}$ wide, find the length of the outer edge of the track. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$

A bicycle wheel, diameter $70 \mathrm{cm}$, is making $25$ revolutions in $10 \sec$. If the speed of bicycle is $k$ $\mathrm{km}/\mathrm{hr}$, find the value of $k$

A small cart is being driven at $10 \mathrm{km}/\mathrm{hr}$. If each wheel has diameter $91 \mathrm{cm}$, find the number of revolutions made by each wheel per minute. Express the number of revolutions in mixed fraction. (Use $\mathrm{\pi }=\frac{22}{7}$)

If a boy takes $k \mathrm{minutes}$ to go four times around a circular field whose radius is $35 \mathrm{m}$, walking at $5 \mathrm{km}/\mathrm{hr}$, then find the value of $k$. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$. Express the value of $k$ in decimal.

A wheel of a cart is making four revolutions per second. The diameter of the wheel is $84 \mathrm{cm}$.  If its speed is $k \mathrm{m}/\sec$, then, find the value of $k$in decimal. $($Use $\mathrm{\pi }=\frac{22}{7})$. 

The figure shows a running track in which $\mathrm{AF}=\mathrm{CD}=100 \mathrm{m}$ and $\mathrm{FED}$ and $\mathrm{ABC}$ are semi-circles whose diameters $\mathrm{FD} \& \mathrm{AC}$ are equal. If an athlete run in taking one complete round of the track is $k \mathrm{m}$, find the value of $k$

A circular field has a perimeter of $660 \mathrm{m}$. A plot in the shape of square having its vertices on the circumference is marked in the field, then the area of the square plot is $k {\mathrm{m}}^2$, find the value of $k$. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$