S.N. Chhibber Solutions for Chapter: Perimeter and Area of Plane Figures, Exercise 4: Exercise

The diameter of the two circles are $3.5\mathrm{cm}$ and $4.2\mathrm{cm}$. If the ratio of the area of the smaller circle to that of the bigger circle is $25:k$, then find the value of $k$.

A wire bent in the form of a square encloses an area of $121 {\mathrm{m}}^2$. The same wire is rebent to form a circle and the area it encloses is $k {\mathrm{m}}^2$.  Find the value of $k$.

A carriage wheel makes $20,000$ revolutions in going over a distance of $15.7 \mathrm{kilometers}$. Find the radius of the wheel in centimetre taking $\mathrm{\pi }=3.14$. Write your answer in one decimal place.

A wire in circular shape with radius $56 \mathrm{cm}$. If It is bent in the form of a square, then find the side of the square in centimetre considering $\mathrm{\pi }=\frac{22}{7}$.

The circumference of a circle is $35.2 \mathrm{m}$. Find its diameter and area.

If the circumference of the circle whose area is $2464 {\mathrm{cm}}^2$ is $k \mathrm{cm}$, then find the value of $k$ considering $\mathrm{\pi }=\frac{22}{7}$.

The diameter of the wheel of a car is $77 \mathrm{cm}$. How many revolutions will it make to travel $121 \mathrm{km}$ considering $\mathrm{\pi }=\frac{22}{7}$.

Two circles are drawn inside a big circle with the diameter $\frac{2}{3}$and $\frac{1}{3}$ of the diameter of the big circle. If the area of the shaded portion is $k\mathrm{\pi }$, when the length of the diameter of the big circle is $18\mathrm{cm}$, then find the value of $k$.