Question

Calculate the area of the shaded region, if the diameter of the semi-circular is equal to $14$cm. Take $\pi =\frac{22}{7}$.

Answer 1

given that the diameter of semi circle is $14$ cm

breadth of the given rectangle is equal to the half the diameter

$=7cm$

area of the shaded region is equal to total area - area of the quarter circle

therefore

the area of the quarter circle $=2\frac{\pi r^2}{4}=77c{m}^2$

total area $=$ area of semi circle +area of rectangle$=r\times 2r$+$\frac{\pi r^2}{2}$$=98+77$$=175$

therefore the are of the shaded region is

$175-77=98c{m}^2$