Question

Find the area of shaded region in the figure where
four congruent circles are inscribed
in the square ABCD of side 14cm

Answer 1

radius of circle is 3.5 cm as two circle diameter is equal to the side of square so one circle diameter is 7 cm

$= 4 \times \: area \: of \: circle \\ = 4 \times \pi \times r ^{2} \\ = 4 \times \pi \times 3.5 ^{2} \\ = 154cm^{2}$
side of square is 14 cm
$= area \: of \: square \\ = a^{2} \\ = 14^{2} \\ = 196cm^{2}$
$shaded \: region = area \: of \: square \: - \: area \: of \: 4 \: circle \\ = 196 \: cm^{2} - \: 154 \: cm^{2} \\ = 42 {cm}^{2}$