Enter the original dimensions and dilation factor into the calculator to determine the new dimensions.
Dilation Calculation Formula
The following formula is used to calculate the new dimensions after dilation.
New Dimension = Original Dimension * Dilation Factor
Variables:
- New Dimension is the new width or height after dilation.
- Original Dimension is the width or height before dilation.
- Dilation Factor is the factor by which the dimensions are increased or decreased.
To calculate the new dimensions, multiply the original dimension by the dilation factor.
What is Dilation in Mathematics?
Dilation in mathematics refers to a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure by a scale factor. The center of the dilation is a fixed point in the plane, and every point on the figure moves along a line that passes through the center and is scaled by the same factor.
How to Calculate Dilation?
The following steps outline how to calculate the new dimensions after dilation using the given formula.
- First, determine the original dimension (width or height).
- Next, determine the dilation factor.
- Use the formula from above: New Dimension = Original Dimension * Dilation Factor.
- Finally, calculate the new dimension by plugging in the values.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Original Width = 5
Dilation Factor = 3
FAQ
1. What is a dilation factor?
A dilation factor is a number by which a figure is scaled. If the factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks.
2. How is dilation used in real life?
Dilation is used in various fields such as architecture, engineering