Understand the basic measurements.
- 1 mile is equal to 5,280 feet.
- 1 acre is defined as 43,560 square feet.
Calculate the area of a square mile in square feet.
Since we are dealing with square miles, we need to square the number of feet in a mile.
- 1 square mile = 1 mile × 1 mile
Therefore:
1square mile=(5,280feet)×(5,280feet)=27,878,400square feet
Convert square feet to acres.
Now, we will convert square feet into acres. Since 1 acre is 43,560 square feet, we divide the total number of square feet in a square mile by the number of square feet in an acre:
Number of acres=43,560square feet per acre27,878,400square feet
Perform the division.
Number of acres=43,56027,878,400=640acres
Conclusion:
There are 640 acres in 1 square mile.
This process shows how the conversion works, starting from the linear measurement of a mile, squaring it to get the area in square feet, and then dividing by the number of square feet in one acre to get the result in acres.