Question

Cutting a circle into equal sections of a small central angle to find the area of a circle by using the formula A=pi*r*r

Answer 1

If you cut the circle into many slices, each slice is approximately an isosceles triangle, with height = r.

Slicing the circle into, say, 2000 wedges, each triangle has a base of almost (2pi*r)/2000 = pi*r/1000

Each triangle has an area = 1/2 bh = 1/2 (pi*r/1000)*r = pi*r^2/2000

Since there are 2000 triangles, the area is pi*r^2

The approximation gets better the more triangles there are.

Answer 2

360/60=6