SEAMO 2027 - Paper E - SET 03 - Self-study Question 12

Question 12

Thirteen identical circles of radius $1$ are inscribed in a larger circle as shown. All intersections are points of tangency. Find the shaded area.

Question illustration

$4\pi\sqrt3$
$7\pi$
$\pi(3\sqrt3+2)$
$\pi(\sqrt3+6)$
None of the above