Kesab Chandra Nag Solutions for Exercise 1: EXERCISE-2

If the area of a square between a circular and a square field of equal perimeter be $484 {\mathrm{m}}^2$. The diameter of the circular field:

If the radius of a circle be increased by $75\%$, then the change of its perimeter 

The circumference of a circle is $1\frac{1}{2}$ times of another circle and if the difference of their radii is $\text{21 cm}$. Find the radii of the two circles.

The wheel of a vehicle revolves at a rate of $500$ times per minute. If the velocity of the vehicle be $6 \mathrm{km}$ and $6 \mathrm{hemi}$ per hour, then find the diameter of the wheel in $\mathrm{dm}$.

Two hands of a clock are of length $5 \mathrm{cm}$ and $4 \text{cm}$. How more distance the top of one of the hands will revolve than the top of the other hand in $2$ days and $6$ hours?

The circumference of the outer edge of a path which is around a circular lawn is $44 \text{m}$ more than circumference of the inner edge of the path. Find the breadth of the path in $\mathrm{m}$.

The times required to travel a circular path of breadth $8 \mathrm{m}$ along the outer and inner circumferences by a person by a bicycle are $23 \sec \mathrm{and} 21 \sec$ respectively. Find the diameter of the inner circle of the path.

The radius of the front wheel of an engine is $35 \mathrm{cm}$ and the radius of its behind wheel is $84 \mathrm{cm}$. How many more revolutions will revolve the front wheel than the behind wheel to travel a distance of $600 \mathrm{m} ?$
(Write the approximate value, making nearest round-off to its tens)