Question

In the given figure, PQRS represents a flower bed. If OP = 21 m and OR = 14 m, find the area of the flower bed.

Answer 1

Area of the flower bed is the difference between the areas of sectors OPQ and ORS.

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{flower}\mathrm{bed}=\frac{\mathrm{\theta }}{360}\times \mathrm{\pi }({\mathrm{PO}}^2-{\mathrm{OR}}^2) \\ =\frac{90}{360}\times \frac{22}{7}\left({21}^2-{14}^2\right) \\ =\frac{1}{4}\times \frac{22}{7}\times 35\times 7 \\ =192.5{\mathrm{m}}^2 \end{gathered}$$