Answer: B. Point F
Explanation: I'm assuming the lines EB, DC, and FA are angle bisectors. If so, then they intersect to form the incenter. The incenter is the center of the incircle.
The incircle is the largest possible circle contained inside the triangle. No part of the circle spills outside the triangle. Think of a balloon that inflates as large as possible until it touches all 3 walls of the triangle.