A road which is $7 \mathrm{m}$ wide surrounds a circular park whose circumference is $352 \mathrm{m}$. If the surface area of the road is $k {\mathrm{m}}^2$, find the value of $k$.

 The shaded area in the given figure between the circumferences of two concentric circles is $346.5 {\mathrm{cm}}^2$. The circumference of the inner circle is $88 \mathrm{cm}$. If the radius of the outer circle is $k \mathrm{cm}$, find the value of $k$

A circular field has a perimeter of $650 \mathrm{m}$. A plot, in the shape of a square having its vertices on the circumference of the field, is marked in the field. If the area of the square plot is $k {\mathrm{m}}^2$, find the value of $k$. $\left(\mathrm{Take} \mathrm{\pi }=\frac{22}{7}\right)$

The inside perimeter of a practice running track with semicircular ends and straight parallel sides is $312 \mathrm{m}$. The length of the straight portions of the track is $90 \mathrm{m}$. If the track has a uniform width of $2 \mathrm{m}$ throughout, find its area.

The boundary of the shaded region in the given figure consists of three semicircular arcs, the smaller ones being equal. If the diameter of the larger arc is $10 \mathrm{cm}$, then the length of the boundary is $k \mathrm{cm}$, find the value of $k$. Use $\left(\mathrm{\pi }=3.14\right)$

The boundary of the shaded region in the given figure consists of three semicircular arcs, the smaller ones being equal. If the diameter of the larger arc is $10 \mathrm{cm}$, calculate the area of the shaded region. Use $\left(\mathrm{\pi }=3.14\right)$

 A bed of roses is like as shown in the given figure. In the Centre is a square and on each side there is a semicircle. Side of the square is $21 \mathrm{m}$. If each rose-plant needs $6 {\mathrm{m}}^2$ of space, find out the number of plants which can be planted in the whole figure.

If the area of the region between two concentric circles given in the figure is $k {\mathrm{cm}}^2$, where the length of the chord of the outer circle touching the inner circle is $14 \mathrm{cm}$, then find the value of $k$. Use $\left(\mathrm{\pi }=\frac{22}{7}\right)$