Triangle Area - Simple

Today's visual trig problem is to figure out how you can model the area of this triangle as a function of either A.) time, or B.) angle, in radians, of the rotating blue segment. What is the largest achievable area, and when does the triangle reach it? You are given:

- The circle has radius 30 and is centered at the origin.
- C is located at (50, 70)
- The time it takes for B to travel one complete circle is 10 seconds.

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Mimi Yang, Created with GeoGebra