Convert Acres to Square Feet

Area is a quantity that tells us the scope of the region or shape in a two-dimensional plane. The SI unit of area is also square meters. It is also represented by m² or sq. m. There are several other units to measure areas. Square centimetre, square kilometre, square yard, square meter, hectare, acre etc.Acre

What is an acre?

An acre is a unit of area measurement used in US customary and imperial systems. This unit is most commonly used to measure the area of a large piece of land. 1 acre is 4,840 square yards or 43,560 square feet. It can also be abbreviated using “ac”.

What is a Square Foot?

A Square foot is derived from two words square and foot. Square is a two-dimensional derivative and foot is the dimension unit. Square foot can be defined as the area of a region with sides measured in foot.  

For example,

Kilogram is the unit to measure the weight.

Similarly, Acre is the unit to measure the land.  

1 Acre = 4047 square meter … (1)  

1 Acre = 43560 square feet

Converting Acres to Square Feet

It is the predefined unit. We can convert it to different units using predefined units. Let’s discuss the procedure of converting Acres to square feet.

We know,

1 ft = 12 inches

1 inch = 2.54 cm

1 cm = 0.01m

So,

1 inch = 2.54 x 0.01 = 0.0254 m

1 ft = 12 x 0.0254m = 0.3048 m

Now, we will convert square feet into square meter.

Squaring both sides,

1 square ft = (0.3048)² square m

1 square ft = 0.0929 square m

1 square meter = 1/0.0929 square feet

Substituting the value of square meter in equation (1), we get:

1 Acre = 4047 x 1/0.0929 square feet

1 Acre = 43560 square feet

Hence, proved that 1 Acre = 43560 square feet.

Similarly, we can easily convert the acre into different units.  

Sample Questions

Question 1: Convert 0.1 Acres to square feet?

Solution:

1 Acre = 43560 square feet

0.1 Acres = 43560 × 0.1  

0.1 Acres = 4356 square feet

Question 2: Convert 20 Acres to square feet?

Solution:

1 Acre = 43560 square feet

20 Acres = 43560 × 20  

20 Acres = 871200 square feet

Question 3: Convert 0.003 Acres to square feet?

Solution: 

1 Acre = 43560 square feet

0.003 Acres = 43560 × 0.003  

0.003 Acres = 130.68 square feet

Question 4: Convert 50 Acres to square feet?

Solution:

1 Acre = 43560 square feet

50 Acres = 43560 × 50  

50 Acres = 2178000 square feet

Question 5: Convert 15 Acres to square feet?

Solution: 

1 Acre = 43560 square feet

15 Acres = 43560 × 15

15 Acres = 653400 square feet

Question 6: Convert 0.4 Acres to square feet?

Solution: 

1 Acre = 43560 square feet

0.4 Acres = 43560 × 0.4

0.4 Acres = 17424 square feet