This is some very hard geometry
Triangle XYZ is equilateral. Points Y and Z lie on a circle centered at O, such that X is the circumcenter of triangle OYZ, and X lies inside triangle OYZ. If the area of the circle is , then find the area of triangle XYZ.
this was answered here: https://web2.0calc.com/questions/help-with-geo_28 but i don't know if it's correct