IKMC 2018 - Grades 9-10 - Self-study Question 13

Question 13

Eight congruent semicircles lie inside a square of side 4 as shown. What is the area of the non-shaded part, including the white corner lenses?

Question illustration

$2\pi$
$8$
$6+\pi$
$3\pi-2$
$3\pi$