Question

In the given figure, ABDCA represents the quadrant of a circle of radius 7 cm with centre A. Calculate the area of the shaded region.

Answer 1

We have:

Shaded area = Area of quadrant - Area of ΔABE
= $\left[\frac{1}{4}{\mathrm{\pi r}}^2-\frac{1}{2}\times \mathrm{h}\times \mathrm{b}\right]$sq. units
$\Rightarrow \left[\left\{\frac{1}{4}\times \frac{22}{7}\times 7\times 7\right\}-\left\{\frac{1}{2}\times 7\times 2\right\}\right]$ cm²
$\Rightarrow \left(\frac{77}{2}-7\right)=\frac{77-14}{2}=\frac{63}{2}=31.5$ cm²