This figure is a composition of two quarter-circles and a square
Area of quarter circle = (1/4)*(area of circle) Area of quarter circle = (1/4)*(pi*r^2) Area of quarter circle = (1/4)*(pi*4^2) Area of quarter circle = (1/4)*(pi*16) Area of quarter circle = (1/4)*16*pi Area of quarter circle = 4pi There are two quarter circles, so the two circular areas add to 4pi+4pi = 8pi
Area of square = s*s = 4*4 = 16 square meters
Add the square area to the circular area: 8pi+16
Now use a calculator to find 8pi+16 = 41.1327412287183 which rounds to 41.13
