![Image](https://s18.postimg.cc/ww4vnhbvp/Triangle.png)
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
The OA is B.
Area of equilateral triangle = √3/4 * a* a = 12.
Area of sector = 1/2 * Theta * (Ï€/180)*r*r
Here r = height of triangle = √3/2 * a
Area of the shaded region = 1/2 * (12 - Area of sector) = 6 - π√3.
Please, can anyone suggest another way to solve this PS question? Thanks in advance.