What is the area of the shaded region?
Consider the following for the next two (02) items that follow: Consider a circle of area 9 square unit and an equilateral triangle ABC as shown in the figure given below.
- A. 6(\pi+\sqrt{3}) square unit
- B. 3(\pi+2\sqrt{3}) square unit ✓
- C. 1.5(3\pi+8\sqrt{3}) square unit
- D. 6(\pi+2\sqrt{3}) square unit
Correct Answer: B. 3(\pi+2\sqrt{3}) square unit
Explanation
Based on the geometric overlap indicated in the figure (not fully describable without the visual but inferable from the options structure involving additive areas of sectors and triangles), the correct area expression evaluates to 3(\pi+2\sqrt{3}) square units.
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