Enter the original length and the scale factor into the calculator to determine the dilated length. This calculator helps in finding the new length of an object after dilation.
Dilation Equation Formula
The following formula is used to calculate the dilated length of an object.
DL = OL * SF
Variables:
- DL is the dilated length (units)
- OL is the original length (units)
- SF is the scale factor
To calculate the dilated length, multiply the original length by the scale factor.
What is Dilation?
Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor determines how much larger or smaller the image will be compared to the original. A scale factor greater than 1 indicates an enlargement, while a scale factor less than 1 indicates a reduction.
How to Calculate Dilation?
The following steps outline how to calculate the dilated length of an object.
- First, determine the original length (OL) of the object in units.
- Next, determine the scale factor (SF).
- Use the formula DL = OL * SF to calculate the dilated length (DL).
- Finally, enter the values into the calculator to check your result.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Original length (OL) = 5 units
Scale factor (SF) = 2
