Convert Acre to Square Meter

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”.

Meter and Square meter

The meter or metre is the SI unit of length. And, the square meter is the SI unit of area. It is the area of a square of side length 1 meter. It is generally used to measure a relatively smaller piece of land such as room, car parking etc.

Converting Acre to Square Meter

We know,

1 inch = 0.0254 meter, so, on squaring on both sides,

1 square inch = 0.00064516 square meter

1 foot = 12 inches, so, on squaring on both sides, 

1 square foot = 144 square inch

1 acre = 43560 square foot

So, converting acre to square meter,

1 acre = (43560 x 144) square inches = 62,72,640 square inches

1 acre =  62,72,640 x 0.00064516 = 4,046.8564224 square meters

But it is highly advised to simply multiply the given acre by 4046.856422 or 4046.86

Sample Problems

Question 1: Convert 3 acres into square meters.

Solution: 

Given, 3 acres

Formula:

Square meters = Acres x 4046.856422

Hence, multiplying 3 ac by 4046.856422 we will get

Square meters = 3 x 4046.856422

Square meters = 12140.57

Therefore, 3 ac is approximately equal to 12140.57 m².

Question 2: Convert 0.1 acres into square meters.

Solution: 

Given, 0.1 acres

Formula:

Square meters = Acres x 4046.856422

Hence, multiplying 0.1 ac by 4046.856422 we will get

Square meters = 0.1 x 4046.856422

Square meters = 404.69

Therefore, 0.1 ac is approximately equal to 404.69 m².

Question 3: Convert 0.75 acres into square meters.

Solution: 

Given, 0.75 acres

Formula:

Square meters = Acres x 4046.856422

Hence, multiplying 0.75 ac by 4046.856422 we will get

Square meters = 0.75 x 4046.856422

Square meters = 3,035.14

Therefore, 0.75 ac is approximately equal to 3,035.14 m².

Question 4: Convert 15 acres into square meters.

Solution: 

Given, 15 acres

Formula:

Square meters = Acres x 4046.856422

Hence, multiplying 15 ac by 4046.856422 we will get

Square meters = 15 x 4046.856422

Square meters = 60,702.84

Therefore, 15 ac is approximately equal to 60,702.84 m².

Question 5: Convert 3.75 acres into square meters.

Solution: 

Given, 3.75 acres

Formula:

Square meters = Acres x 4046.856422

Hence, multiplying 3.75 ac by 4046.856422 we will get

Square meters = 3.75 x 4046.856422

Square meters = 15,175.71

Therefore, 3.75 ac is approximately equal to 15,175.71 m².

Question 6: Convert 15.15 acres into square meters.

Solution: 

Given, 15.15 acres

Formula:

Square meters = Acres x 4046.856422

Hence, multiplying 15.15 ac by 4046.856422 we will get

Square meters = 15.15 x 4046.856422

Square meters = 61,309.87

Therefore, 15.15 ac is approximately equal to 61,309.87 m².