Given 2 shapes: Square and semicircle
The circle is cut in half to form a semi-circle. The square is placed between the two semi-circles.
Two semi-circles are the shaded part.
We will find the area of the shaded part which forms 1 circle.
Area of a circle = πr²
The side of the square lawn serves as the diameter of the circle. Radius is half of the diameter.
r = d/2 = 42/2 = 21m
Area of circle = 3.14 × (21)² = 3.14 × 441 = 1384.74m²
The area of the shaded parts is 1,384.74 square meters.