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.

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

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