IKMC 2021 - Grades 11-12 - Set 2 - Self-study Question 1

Question 1

A large square is partitioned into smaller squares as shown. A shaded circle is inscribed in every smaller square. What fraction of the large square is shaded?

Question illustration

$8\pi/9$
$13\pi/16$
$3/\pi$
$3/4$
$\pi/4$