Question

Find the area of of the given figure, in square cm, correct to one place of decimal.

Answer 1

Side of a square $=10cm$

$AE=6cm$ and $DE=8cm$

Area of a square $=(Side{)}^2$

$=(10{)}^2$

$=100c{m}^2$

Area of right angled triangle $AED=\frac{1}{2}\times AE\times DE$

$=\frac{1}{2}\times 6\times 8$

$=24c{m}^2$

Diameter of a semicircle $=10cm$

Radius of a semicircle $\left(r\right)=\frac{10}{2}=5cm$

Area of a semicircle $=\frac{\pi r^2}{2}$

$=\frac{1}{2}\times \frac{22}{7}\times (5{)}^2$

$=39.3c{m}^2$

$\Rightarrow$ Area of figure $=$ Area of square $+$ Area of semicircle - Area of $△AED$

$=(100+39.3-24)c{m}^2$

$=115.3c{m}^2$