How many acres are in a mile?

To determine how many acres are in a mile, it's important to understand the conversion between miles and acres. One mile is equal to 5,280 feet, and there are 43,560 square feet in one acre.

When calculating the area of a square mile, you can derive it as follows:

1. A square mile is defined as a square with each side measuring one mile. So the area of the square mile is:

[

\text{Area} = \text{side}^2 = 5,280 , \text{feet} \times 5,280 , \text{feet} = 27,878,400 , \text{square feet}

]

2. To convert this area into acres, divide the total square feet in a square mile by the number of square feet in one acre:

[

\text{Number of acres} = \frac{27,878,400 , \text{square feet}}{43,560 , \text{square feet per acre}} = 640 , \text{acres}

]

This leads us to conclude that there are indeed 640 acres in a mile. Understanding this