A circular flower bed is surrounded by a path $5 m$ wide. The diameter of flower bed is $65 m$. The area of the path is $x m$. Find the value of $x$.

A square park has its side $32 m$. At each corner of the park, there is a flower bed in the form of a quadrant of radius $10 m$ as shown in the figure. The area of the remaining part of the park is $x m^2$. Find the value of $x$.(Take $\mathrm{\pi }=3.14$)

The ratio of radii of two circles is $3:5$. Find the ratio of their circumferences.

The ratio of radii of two circles is $3:5$. Find the ratio of their areas

The inner circumference of a circular track is $264 m$ and the width of the track is $7 m$. Calculate the cost of putting up a fence along the outer circle of the track at the rate of $₹3.50$ per metre. (in $₹$)

The inner circumference of a circular track is $264 m$ and the width of the track is $7 m$. The area of the track is $x m^2$. Find the value of $x$.