VTMO 2013 — Grade 9 — semifinal Question 20

Question 20

A unit circle circumscribes an equilateral triangle. Find the area of the indicated circular segment.

1. $\frac{\pi - 3 \sqrt{3}}{12}$
2. $\frac{4 \pi - 3 \sqrt{3}}{12}$
3. $\frac{\pi - \sqrt{3}}{3}$
4. $\frac{2 \pi - \sqrt{3}}{12}$
5. $\frac{4 \pi - 3 \sqrt{3}}{3}$