Scale Factor Dilation Calculator

Formula

To calculate the Scale Factor Dilation (\(SF\)):

\[ SF = \frac{X2}{X1} = \frac{Y2}{Y1} \]

Where:

\(SF\) is the Scale Factor Dilation
\(X2\) and \(Y2\) are the change in X and Y of the final image
\(X1\) and \(Y1\) are the change in X and Y of the original image

What is Scale Factor Dilation?

A scale factor dilation is a ratio of the length or area of an image before and after it has been enlarged or shrunk. It helps in understanding how much an image or shape has been scaled up or down.

Example Calculation 1

Let's assume the following values:

Original X Dimension (\(X1\)) = 4
Original Y Dimension (\(Y1\)) = 5
Final X Dimension (\(X2\)) = 8
Final Y Dimension (\(Y2\)) = 10

Using the formula:

\[ SF = \frac{8}{4} = 2 \quad \text{and} \quad SF = \frac{10}{5} = 2 \]

The Scale Factor Dilation is 2.

Example Calculation 2

Let's assume the following values:

Original X Dimension (\(X1\)) = 6
Original Y Dimension (\(Y1\)) = 9
Final X Dimension (\(X2\)) = 12
Final Y Dimension (\(Y2\)) = 18

Using the formula:

\[ SF = \frac{12}{6} = 2 \quad \text{and} \quad SF = \frac{18}{9} = 2 \]

The Scale Factor Dilation is 2.