S_ABC-? 36

Based on the given information in diagram 36, we know one side of the triangle AB = 10, the circle has a radius of 4√3, and angle A is 60 degrees. To find the area of the triangle ABC, we can use the formula: $$S = \frac{1}{2}ab \sin(C)$$ However, we only know one side (AB = 10) and one angle (A = 60°). We need at least another side or angle to find the area. Without additional information, we can't calculate the exact area of the triangle. Answer: Cannot be determined with given information.