Answer:
Given parameters
Side of the square ABCD = 14 cm
Area of the square ABCD = (side)2
Area of the square ABCD = (14)2
Area of the square ABCD = 196 cm2
There are four semi-circles which mean there are two complete circles.
The radius of the semi-circles formed (r) = 2 cm
Area of the semi-circles = 4 × 1/2 (πr2)
π = 3.14
Area of the semi-circles = 4 × 1/2 (3.14 × 22)
Area of the semi-circles = 4 × 12.56/2
Area of the semi-circles = 25.12 cm2
Inside the semi – circles length of the side of square formed = 4 cm
Area of the square = 42
Area of the square = 16 cm2
Area of the shaded region = Area of the square ABCD – (Area of 4 semi-circles + Area of square)
Area of the shaded region = 196 – (25.12 + 16)
Area of the shaded region = 154.88 cm2