Convert `563 m m^(2)` into `cm^(2)`.

Answer

To convert \(563 \, \text{mm}^2\) into \(\text{cm}^2\), we will follow these steps:

### Step 1: Understand the conversion factor
We know that \(10 \, \text{mm} = 1 \, \text{cm}\). Therefore, to convert from millimeters to centimeters, we can use the conversion factor:
\[ 1 \, \text{mm} = \frac{1}{10} \, \text{cm} \]

### Step 2: Convert square millimeters to square centimeters
Since we are dealing with square units, we need to square the conversion factor:
\[ 1 \, \text{mm}^2 = \left(\frac{1}{10} \, \text{cm}\right)^2 = \frac{1}{100} \, \text{cm}^2 \]

### Step 3: Apply the conversion to the given value
Now, we can convert \(563 \, \text{mm}^2\) to \(\text{cm}^2\):
\[ 563 \, \text{mm}^2 = 563 \times \frac{1}{100} \, \text{cm}^2 \]

### Step 4: Perform the multiplication
Calculating the above expression:
\[ 563 \times \frac{1}{100} = \frac{563}{100} \, \text{cm}^2 \]

### Step 5: Simplify the fraction
Now we can simplify \(\frac{563}{100}\):
\[ \frac{563}{100} = 5.63 \, \text{cm}^2 \]

### Final Answer
Thus, \(563 \, \text{mm}^2\) is equal to \(5.63 \, \text{cm}^2\).

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