Question

Find the area of the shaded portion formed by a semicircle placed above a square.

Answer 1

R.E.F image

Area = Area (Square)+Area(semi-circle)

$=sid{e}^2+\frac{1}{2}\times \pi (radius{)}^2$

$=7^2+\frac{\pi }{2}(\frac{7}{2}{)}^2$

$=49+\frac{22}{7}\times \frac{1}{2}\times \frac{49}{4}$

$=49+\frac{77}{4}$

$=7(7+\frac{11}{4})=7\left(\frac{39}{4}\right)=\frac{273}{4}c{m}^2$