reto wrote:
Arcs AC, AB and BC are centered at B, C and A respectively, as shown above. If the area of equilateral triangle ABC is √3, what is the area of the shaded region?
A. \(2pi-3\sqrt{3}\)
B. \(\sqrt{3} - pi\)
C. 3pi
D. \(\sqrt{3}+2pi\)
E. 3
1) Choose one vertex and its segment, say B
2) Area of shaded region for B:
(Area of segment) - (Area of triangle)
3) Segment area - find SIDE LENGTH of equilateral triangle, which is the RADIUS of Circle B:
Find side length
Area of equilateral triangle,
...



.jpg)
