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3 concentric circumferences with radii 1, 2 and 3

My translation of the exercise: Consider 3 concentric circumferences (same center T) with radii 1, 2 and 3, respectively. If we take one point from each circumference, we can draw a triangle. Suppose we choose three points so that the area of the triangle is the maximum possible. Then point T is a) the barycenter of the triangle. b) the incenter of the triangle. c) the circumcenter of the triangle d) the orthocenter of the triangle e) an excenter of the triangle