Question

Calculate the area of shaded part of the figure given below

Answer 1

Area of AFGI = Area of CDHI

$\begin{array}{c}=\ell \times b\\ =25\times 3.4\\ =85m^2\end{array}$

Area of curved area = area of outer half circle - area of inner half circle

$\begin{array}{c}=\frac{1}{2}\pi r_1^2-\frac{1}{2}\pi r_2^2\\ =\frac{1}{2}\pi \left[{\left(\frac{19.1}{2}\right)}^2-{\left(\frac{12.3}{2}\right)}^2\right]\\ =\frac{\pi }{2}\left[91.2-37.82\right]\\ =83.8066m^2\\ \therefore totalarea=2\times AreaofAFGT+2\times Areaofcurvedregion\\ =2\times 85+2\times 83.8066\\ =337.6132m^2\end{array}$