Pretty Yellow Petals

Geometry Level 2

The figure above shows a square with side length, $a$ . Find the area of the yellow region in terms of $a$ .

Hint: Circumcentre of each semicircle is midpoint of the square's side.

a^{2}(4\pi - 1)

2a^{2}(\pi - 1)

4a^{2}(\pi - 2)

\frac {a^{2}}2 (\pi - 1)

a^{2}(\pi - 2)

\frac{a^{2}}{2}(\pi - 2)