2. Let C be a circle of radius r and let An be the area of the regular n-sided polygon inscribed in C. Now divide the polygon into n congruent isosceles triangles with central angle 0 = 2 b Circle -Inscribed polygon An (a) (Slice) Show that the area of each triangle is r² sin(2). Hint: sin(20) = 2 sin(0) cos(0). b (b) (Approximate) Find an expression for the area An of the polygon (in terms of r and n only) by adding the areas of all the triangles. Hint: There is not much to do here. (c) (Refine) Find the area of the circle by letting the number

2. Let C be a circle of radius r and let An be the area of the regular n-sided polygon inscribed in C. Now divide the polygon into n congruent isosceles triangles with central angle 0 = 2 b Circle -Inscribed polygon An (a) (Slice) Show that the area of each triangle is r² sin(2). Hint: sin(20) = 2 sin(0) cos(0). b (b) (Approximate) Find an expression for the area An of the polygon (in terms of r and n only) by adding the areas of all the triangles. Hint: There is not much to do here. (c) (Refine) Find the area of the circle by letting the number