Question

Find the area of figure, in square cm, correct to one place of decimal. $(\text{Take}\pi =\frac{22}{7})$

Answer 1

Step:Find the area of the figure

Let '$r$' be the rediusof semicircle,
$\text{then r}=\frac{BC}{2}=\frac{10}{2}=5cm$
$\text{Now, area of semi-circle}=\frac{1}{2}\pi r^2=\frac{22}{7}\times 5\times 5$
$=39.29c{m}^2$

$\text{Area of ABCD=}(AB\times BC)=10\times 10$
$=100c{m}^2$

$\text{Area of}\Delta \text{AED}=\frac{1}{2}\times \text{Base}\times \text{Height}=\frac{1}{2}\times 8\times 6$

$=24{\text{cm}}^2$

$\text{Area of the figure =Area of ABCD+Area of semi-circle-Area of}\Delta \text{AED}$
$=100+39.29-24$
$=115.29c{m}^2$
$\text{Hence, the area of the figure is}115.3c{m}^2\text{approx}.$