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.
Solution:
Area of the flower bed is the difference between the areas of sectors OPQ and ORS.
Area of the flower bed $=\frac{\theta}{360} \times \pi\left(\mathrm{PO}^{2}-\mathrm{OR}^{2}\right)$
$=\frac{90}{360} \times \frac{22}{7}\left(21^{2}-14^{2}\right)$
$=\frac{1}{4} \times \frac{22}{7} \times 35 \times 7$
$=192.5 \mathrm{~m}^{2}$
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