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Challenge 376: Circumcircle Challenge

What is the exact area of the circle that passes through all three vertices of this triangle?

 In triangle ABC, AC = 2 units, the angle at A is 60o, and the angle at B is 45o.

The circumcircle of a triangle is the circle that passes through all 3 vertices of that triangle.

Find the exact area of the circumcircle of triangle ABC.