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# Centimeter Square to Meter Square Formula

Before going to learn the cm^{2} to m^{2} formula, let us recall what are centimeters and meters. Centimeter and meter are the units for the measurement of the length of any object or body, while cm^{2} and m^{2} are the units for measurement of the area. cm^{2} to m^{2} formula helps in the conversion of a unit of the area given in cm^{2} to m^{2}. Let us learn it.

## What Is the cm^{2} to m^{2} Formula?

There are 100 cm contained in 1 m, i.e., 1 m = 100 cm. While comparing cm^{2} and m^{2}, the multiplication constant also gets squared as 1 m^{2} = (100)^{2} cm^{2} (or) 1 m^{2} = 10000 cm^{2}. Thus, the cm^{2} to m^{2} formula is given as:

(Area in m)^{2} = (Area in cm)^{2}/10000

Let us learn the applications of cm^{2} to m^{2} formula in the following section.

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## Examples Using cm^{2} to m^{2} Formula

**Example 1:** Using cm^{2} to m^{2} formula, convert 147 cm^{2} to m^{2}.

**Solution:**

To find: 147 cm^{2} in m^{2}

Using cm^{2 }to m^{2} formula,

(Area in m)^{2} = (Area in cm)^{2}/10000

147 cm^{2} = 147/10000 m^{2}

= 0.147 m^{2}

**Answer:** 147 cm^{2} = 0.147 m^{2}

**Example 2:** A plot measures 28600 cm^{2}. Find the area of plot in m^{2} using suitable conversion formula.

**Solution:**

To find: Area of plot in m^{2}

Given:

Area of plot in cm^{2} = 28600 cm^{2}

Using cm^{2} to m^{2} formula,

28600 cm^{2} = 28600/10000

= 2.86 m^{2}

**Answer:** Area of plot = 2.86 m^{2}

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