Calculate area of the white region inside circle.
Area of the two white triangles in top left and bottom right:
[tex]2 \cdot \frac{1}{2}(6)(6) = 36 ft^2[/tex]
Area of the two white quarter circles in the bottom left and top right:
[tex]2 \cdot \frac{1}{4}\pi (6)^2 = 18\pi ft^2[/tex]
Total area of unshaded white region inside circle:
[tex](36 + 18\pi)ft^2 [/tex]
Area of entire circle including the white and shaded regions
[tex]\pi(6)^2 = 36\pi ft^2[/tex]
Area of shaded region is area of entire circle - area of unshaded white region
[tex]36\pi - (36 + 18\pi) = (18\pi - 36) ft^2[/tex]
