Question

A triangle has corners at `(5 ,1 )`, `(3 ,9 )`, and `(4 ,6 )`. What is the area of the triangle's circumscribed circle?

Answer 1

With that shape, it will be rather large. The step-by-step sequence with formulas is given in the reference.

Explanation:

This reference explains exactly how to calculate the circle from the triangle. You may need to use the "distance formula" to obtain the specific side lengths.
http://math.wikia.com/wiki/Circumscribed_circle