The area of the polygons compare to π in the way that as more angles and sides are added to a polygon the polygon becomes closer to a circle; the perimeter slowly changes to circumference. Π is used to find the area and circumference of a circle, so as polygons come closer to becoming circles π becomes more strongly associated to the polygon. You can even use π to find the approximate area of a circle if you use the same formula (as you would to find the area of a circle) on a polygon. Another way to go about it is like this…
You can find the area of a circle if you know the circle’s circumference by using these steps:
1. Divide the circumference by π to find the diameter of the circle.
2. Divide the diameter by 2 to find the radius of the circle.
3. Now that you have the radius you can use the formula Area= πr2 to find the area of the circle.