IKMC 2007 - Grades 9-10 - Self-study Question 22

Question 22

A coin of diameter 1 cm rolls around the outside of a regular hexagon of side 1 cm. What is the length of the path traced by its centre?

Question illustration

$6+\pi/2$
$6+\pi$
$12+\pi$
$6+12\pi/6$
$12+2\pi$