Question:
In the given figure, OABC is a square of side 7 cm. If COPB is a quadrant of a circle with centre C find the area of the shaded region.
Solution:
Area of shaded region = Area of square OABC − Area of quadrant COPB having radius OC
$=(\text { Side })^{2}-\frac{1}{4}\left(\pi \times r^{2}\right)$
$=(7)^{2}-\frac{1}{4}\left[\frac{22}{7} \times 7^{2}\right]$
$=49-38.5$
$=10.5 \mathrm{~cm}^{2}$
Hence, the area of the shaded region is 10.5 cm2
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