An n-sided regular polygon (all of whose sides are of equal length) inscribed in a circl...

An n-sided regular polygon (all of whose sides are of equal length) inscribed in a circle of radius 1 has been divided into n congruent triangles, each with central angle 2π/n radians.

a. Show that the area of each triangle is

b. What value would you expect

to approach as n→∞?