What is the equivalent of one acre in square miles?

What is the equivalent of one acre in square miles?

• A. 0.005 mi²
• B. 0.00156 mi²
• C. 0.01 mi²
• D. 0.0005 mi²

Answer: (B)

To determine the equivalent of one acre in square miles, it's important to understand the basic conversion between these two measurement units. One acre is defined as 43,560 square feet, while one square mile is defined as 27,878,400 square feet (since 1 mile is 5,280 feet, and squaring that value gives you the number of square feet in a square mile). To find how many acres are in a square mile, you divide the number of square feet in a square mile by the number of square feet in an acre: \[ \text{Number of acres in a square mile} = \frac{27,878,400 \text{ square feet}}{43,560 \text{ square feet/acre}} \approx 640 \text{ acres} \] Now, to find the equivalent of one acre in square miles, you take the reciprocal of that relationship: \[ 1 \text{ acre} = \frac{1}{640} \text{ square miles} \] Calculating that gives: \[ 1 \text{ acre} \approx 0.0015625 \text{ square miles} \] This rounds to approximately 0.00156 square miles,

To determine the equivalent of one acre in square miles, it's important to understand the basic conversion between these two measurement units.

One acre is defined as 43,560 square feet, while one square mile is defined as 27,878,400 square feet (since 1 mile is 5,280 feet, and squaring that value gives you the number of square feet in a square mile).

To find how many acres are in a square mile, you divide the number of square feet in a square mile by the number of square feet in an acre:

[ \text{Number of acres in a square mile} = \frac{27,878,400 \text{ square feet}}{43,560 \text{ square feet/acre}} \approx 640 \text{ acres} ]

Now, to find the equivalent of one acre in square miles, you take the reciprocal of that relationship:

[ 1 \text{ acre} = \frac{1}{640} \text{ square miles} ]

Calculating that gives:

[ 1 \text{ acre} \approx 0.0015625 \text{ square miles} ]

This rounds to approximately 0.00156 square miles,