Question

Find the area of the shaded region given in fig.

Answer 1

Given,

side of square $=14cm$

Area of larger Square $=sid{e}^2$

$={14}^2$

$=196c{m}^2$

There are four semi circle that means we have two complete circles of diameter of $2xcm$

then we can observe that

$3+x+2x+x+3=14$

i.e., $x=2$

so radius of circle is $2cm$

Area of non shaded region$=$area of two circle $+$ area of square of side $4cm$

$=$ $2.pi.r^2+sid{e}^2$

$=$ $25.12+16$

$=$ $41.12c{m}^2$

Hence,

Required area of shaded region $=196-41.12=154.88c{m}^2.$