Rahul Sofat Solutions for Chapter: Perimeter and Area, Exercise 3: EXERCISE 14.3

Find the ratio of the circumferences of two circles whose radii are in the ratio $4: 5$.

The circumference of a circle exceeds its radius by $37 \mathrm{cm}$. Find the diameter of the circle. (Use $\mathrm{\pi }=\frac{22}{7}$)

The diameter of a wheel of a bus is $112 \mathrm{cm}$. How many revolutions will it make to cover $1 \mathrm{km} 56 \mathrm{m}$?

The circumferences of two circles are in the ratio $1: 3$. Find the ratio of their areas.

A copper wire in the form of a circle encloses an area of $616 {\mathrm{cm}}^2$. If the same wire is bent to form a square, find its area. (Use $\mathrm{\pi }=\frac{22}{7}$)

$ABCD$ is a diameter of a circle of radius $6 \mathrm{cm}$. The lengths $AB, BC, CD$ are equal. Semicircles are drawn on $AB$ and $BD$ as diameters as shown in the given figure. Find the area of the shaded region.

Two circles are drawn inside a big circle of diameter $24 \mathrm{cm}$. The diameter of the two circles are $\frac{1}{3}$ and $\frac{2}{3}$ of the diameter of the big circle as shown in the figure. Find the ratio of the areas of the shaded part to the unshaded part of the circle.

Inside a rectangular garden $24 \mathrm{m}$ long and $18 \mathrm{m}$ wide, a $2 \mathrm{m}$ margin is left for planting tulip flowers, If $4$ tulip stems can be planted in $1 {\mathrm{m}}^2$ and each tulip stem costs $₹30$, find the total expenditure incurred.