by Guest » Sat Mar 26, 2005 7:16 am
So, 1500 feet is the perimeter of the lake. But we need to know the shape to determine the area. Duifferent shapes would give different areas for the same perimeter.
1) Circular c= pi * d, so d = c/pi, approximately 477'
then A = (pi/4) *d^2 = 179 049 dq. ft
2) But if it is square, it is P/4 on a side, 375'
The area would only be 140 625 sq. ft.
3) But if it is an absurdly long skinny rectangle
749' by 1', it still has a 1500' perimeter, but the area is only 749 sq. ft.
For a given perimeter, a perfect circle has the largest possible area. To convert area to acres, 1 acre = 43 560 sq. ft., so your lake, MIGHT be as large as 4.1 acres (case 1)
Acre-feet is a measure of volume, it is the surface area in acres, multipled by the depth in feet (assuming the lake is the same depth everywhere, the computation is very complex if it isn't)