question_answer

In Fig. 6, find the area of the shaded region [Use\[\pi =3.14\]]

Answer:

Area of square (ABCD)

\[=14\times 14\]

\[=196\,\,c{{m}^{2}}\]

Area of small square (EFGH)

\[={{(7-3)}^{2}}\]

\[=4\times 4=16\,\,c{{m}^{2}}\]

4 (Area of semicircle) \[=4\times \frac{\pi {{r}^{2}}}{2}\]

\[=2\times 3.14\times 2\times 2\]

\[=25.12\,\,c{{m}^{2}}\]

\[\therefore \] Required area (shaded) = Area of square\[\]Area of small square\[-4\times \]Area of semicircle

\[=(196-16-25.12)c{{m}^{2}}\]

\[=154.88\,\,c{{m}^{2}}\]