VTMO 2026 - Grade 9 - Semifinal - SET 10 - Self-study Question 21

Question 21

A circle of radius1 circumscribes an equilateral triangle. Find the hatched circular segment between one side and its corresponding minor arc, as shown.

Question illustration

$(\pi-3\sqrt3)/12$
$(4\pi-3\sqrt3)/12$
$(\pi-\sqrt3)/3$
$(2\pi-\sqrt3)/12$
$(4\pi-3\sqrt3)/3$