IKMC 2022 - Grades 9-10 - Set 2 - Self-study Question 11

Question 11

The figure shows three equal large circles and four equal small circles. All centres and points of contact lie on one straight line. Each small radius is 1. What is the shaded area?

Question illustration

$\pi$
$2\pi$
$3\pi$
$4\pi$
$6\pi$