How many acres in 1 mile circle?

Answer 1

I have this same question so I'll try to work it out and answer it:

The perimeter of the circle is 5,280 feet.

Area of circle = 3.14 times radius squared.

We don't have the radius, but the sides of a square mile is 5,280.

640 acres are in a mile and 43,560 sq ft are in an acre, so when we multiply those figures we get 27,878,400 sq ft.

So now we simply work the pie formula backwards............

27,878,400 divided by 3.14 = 8,878,471

then we find the sq root of 8,878,471 which = 2,980

2,980 = radius.

So we've basicly just reminded ourselves that there are 640 acres in 1 sq mile.

But what about a circle mile?

The percentage of a circle that fits in the smallest possible square is 78.6%.

So finally we multiply .786 by 640 acres and get our answer.

The number of acres in a 1 mile circle is............................................ 503 acres.