1. ABCDEF is a regular hexagon with area 1. The intersection of triangle ACE and triangle BDF is a smaller hexagon. What is the area of the smaller hexagon?
2.
A, B , C, D and E are points on a circle of radius 2 in counterclockwise order. We know AB=BC=DE=2 and CD=EA.Find the area of ABCDE.
Enter your answer in the form x+ysqrt(z) in simplest radical form.
