Enter the original radius of a circle and the scale factor into the calculator to determine the new radius after dilation.
Circle Dilation Formula
The following formula is used to calculate the new radius of a circle after dilation.
NR = OR * SF
Variables:
- NR is the new radius of the circle after dilation (units)
- OR is the original radius of the circle (units)
- SF is the scale factor by which the circle is dilated
To calculate the new radius of a circle after dilation, multiply the original radius by the scale factor.
What is Circle Dilation?
Circle dilation is a transformation that alters the size of a circle by a scale factor while keeping its shape and the position of its center the same. The scale factor determines how much larger or smaller the circle will become. If the scale factor is greater than 1, the circle enlarges; if it is between 0 and 1, the circle shrinks.
How to Calculate New Radius After Dilation?
The following steps outline how to calculate the new radius of a circle after dilation.
- First, determine the original radius of the circle (OR) in units.
- Next, determine the scale factor (SF) by which the circle is to be dilated.
- Next, gather the formula from above = NR = OR * SF.
- Finally, calculate the new radius (NR) of the circle after dilation in units.
- 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 radius of the circle (OR) = 5 units
scale factor (SF) = 2
