SEAMO 2019 — Paper E — Grade 9–10 Question 20

Question 20

Thirteen identical circles of radius $1$ lie inside a larger circle as shown. Every intersection is a tangency. Find the shaded area.

Question illustration

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