BTGmoderatorLU wrote:
A circular region centered at C is inscribed in equilateral triangle ABC above. If the area of the triangle ABC is 12, what is the area of the shaded region?
A. 6-3Ï€
B. 6-π√3
C. 12-π√3
D. 12-3Ï€
E. 3+π√3
Shaded region = (triangle area - sector area)/2 = (12 - sector area)/2 =
6 - (sector area)/2.
The expression in blue implies that the correct answer must be A or B.
Option A yields a negative value:
6 - 3π ≈ 6 - 9 = -3.
The correct answer is
B.
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