Question

Find the area of the shaded portion if the radius of each circle is 1 cm

Answer 1

Side of Squrae is given by = 4r

= 4 × 1 = 4cm

Hence Are of square = side × side

= 4 × 4 = 16cm^2

Now Are of 4 circles is given by


$4 \times \pi \: r {}^{2}$

4 × 22/7 × 1 × 1

88/7

12.57cm^2

Area of shaded region = square area - circles area

=
$16cm {}^{2} - 12.57cm {}^{2}$

$= 3.43cm {}^{2}$



Thanks

Answer 2

Area of the sector of a circle of radius r with central angle θ = 2 θ. × π ,. 360 ..... CA = 1 cm, then find the area of the shaded region .