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How Many Square Acres Are In A Square Mile?

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

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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

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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.

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