IKMC 2011 - Grades 9-10 - Self-study Question 28

Question 28

XY is a diameter of the smaller circle. Centre S of the larger circle lies on the smaller circle. The larger radius is r. Find the shaded area.

Question illustration

$\pi r^2/6$
$\sqrt3\pi r^2/12$
$r^2/2$
$\sqrt3 r^2/4$
Another answer