How many times would I have to run around my five acres to have run a mile?
I was wondering if I live on five acres in a square piece of land. There are four property markers one on each corner how many times would I have to run around the outside of the five acres from corner to corner to equal a mile?
1 acre = 43,560 sq. ft.
5 acres = 5 x 43,560 sq. ft = 217,800 sq. ft.
You said it was a square lot, so take the square root to find the length of a side:
s² = 217,800 sq. ft.
s = √217,800 = 466.7 ft. per side
There are 4 sides to a square.
4s = 4 x 466.7 ≈ 1,867 ft.
A mile is 5,280 ft so divide to get the number of times you’d need to run around the lot.
5280 / 1867 = 2.8 times going around.
It also seems like you want to know if you run corner to corner. Using the Pythagorean Theorem, and a side length of 466.7 you can figure the diagonal length.
466.7² + 466.7² = x²
2(466.7)² = x²
x = 466.7√2
x ≈ 660 ft.
5280 / 660 = 8 times
2.8 times around the perimeter
8 times along the diagonal
How many miles is 5 acres