How many square meters are in 280 square centimeters?
Understand the Problem
The question is asking for a conversion from square centimeters to square meters. To solve it, we will use the conversion factor that 1 square meter equals 10,000 square centimeters.
Answer
The area in square meters is \( 0.05 \, \text{m}^2 \).
Answer for screen readers
The area in square meters is ( 0.05 , \text{m}^2 ).
Steps to Solve
- Identify the conversion factor
We know that 1 square meter is equal to 10,000 square centimeters. This means we will use this factor to convert square centimeters to square meters.
- Set up the equation
To convert square centimeters (cm²) to square meters (m²), we can use the formula:
$$ \text{Area in m²} = \frac{\text{Area in cm²}}{10,000} $$
- Insert the values
If we have a specific area in square centimeters, replace "Area in cm²" with that number. For example, if we convert 500 cm² to m², the equation will look like this:
$$ \text{Area in m²} = \frac{500}{10,000} $$
- Perform the calculation
Now calculate the result:
$$ \text{Area in m²} = \frac{500}{10,000} = 0.05 \text{ m²} $$
- Conclude the conversion
The final result tells us how many square meters our area in square centimeters is equivalent to.
The area in square meters is ( 0.05 , \text{m}^2 ).
More Information
Converting between square centimeters and square meters is a common task in geometry and real estate. Understanding the relationship between these units helps with various calculations in different fields such as engineering, architecture, and everyday measurements.
Tips
- A common mistake is forgetting to divide by 10,000 when converting from cm² to m². Always use the correct conversion factor to avoid this error.
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