Circle Dilation Calculator

Formula

The formula to calculate the new radius of a circle after dilation is:

\[ \text{NR} = \text{OR} \times \text{SF} \]

Where:

\( \text{NR} \) is the new radius of the circle after dilation (units)
\( \text{OR} \) is the original radius of the circle (units)
\( \text{SF} \) is the scale factor by which the circle is dilated

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.

Example Calculation

Let's assume the following values:

Original Radius (\( \text{OR} \)): 5 units
Scale Factor (\( \text{SF} \)): 2

Step 1: Multiply the original radius by the scale factor:

\[ 5 \times 2 = 10 \]

Therefore, the new radius is 10 units.