The radius of a circular wheel is $1 \frac{3}{4} \text{ m}$. How many revolutions will it make in travelling $11 \text{ km}$?

The area of a rectangle is thrice that of a square. The length of the rectangle is $20\,cm$ and the breadth of the rectangle is $\frac{3}{2}$ times that of the side of the square. The side of the square (in $cm$) is

In the given figure,$y$ is both the radius of the larger circle and the diameter of the smaller circle. Find the area of the shaded region.

The sum of the areas of the $10$ squares,the lengths of whose sides are $20 \, cm, 21 \, cm, \ldots, 29 \, cm$ respectively is ...... $cm^2$.

$A$ circular wire of diameter $112 \, cm$ is cut and bent in the form of a rectangle whose sides are in the ratio of $9:7$. The small side of the rectangle is......$cm$.

$A$ cow is tied by a rope at the corner of a rectangular field. If the length of the rope is $14\, m$,then the area of the field which the cow could graze is.......$m^2$