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

$ABCD$ 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.

A rectangular lawn of length $50 \mathrm{m}$ and breadth $30 \mathrm{m}$ is to be surrounded externally by a path which is $2 \mathrm{m}$ wide. Find the area of the path.

Two crossroads, each $2 \mathrm{m}$ wide, run at right angles, through the centre of a rectangular park of length 64 m and breadth $38 \mathrm{m}$, such that each is parallel to one of the sides of the rectangle. Find the area of the roads. Also, find the area of the remaining part of the park.

A rectangular plot measures $300 \mathrm{m}$ by $200 \mathrm{m}$. A builder builds three roads $10 \mathrm{m}$ wide along the length on either side and one in the middle. He also builds one $10 \mathrm{m}$ wide road in the middle along the breadth. The remaining area is cut into residential plots and sold at the rate of $₹500 \mathrm{per} {\mathrm{m}}^2$. Calculate the total revenue the builder will generate by selling all the plots.