IKMC 2009 - Grades 11-12 - Paper 01 - Self-study Question 16

Question 16

An equilateral triangle of side 3 and a circle of radius 1 have the same centre. What is the perimeter of their union, shown in the figure?

Question illustration

$3+2\pi$
$6+\pi$
$9+\frac\pi3$
$3\pi$
$9+\pi$