Question
. Used a Scale factor of % to dilate a circle with radius of 18cm. What is radius or original circle?
Answers
GPT-4o mini
If you dilate a circle with a radius of 18 cm using a scale factor (let's denote it as \( k \)), the radius of the original circle would be determined by the relationship between the original radius \( r \) and the scaled radius \( R \).
The formula for dilation is:
\[
R = k \cdot r
\]
Rearranging this to find the original radius \( r \):
\[
r = \frac{R}{k}
\]
Given that the radius of the dilated circle \( R \) is 18 cm, to find the original radius \( r \), you would need to know the scale factor \( k \).
If you're dilating the circle by a percentage (like 50%, 200%, etc.), you would convert that percentage to a decimal for the scale factor (for example, 50% becomes 0.5, and 200% becomes 2).
Once you have the scale factor, you can substitute it into the formula to find the original radius.
Without the specific scale factor, we can't determine the original radius. Please provide the scale factor for a complete answer!
The formula for dilation is:
\[
R = k \cdot r
\]
Rearranging this to find the original radius \( r \):
\[
r = \frac{R}{k}
\]
Given that the radius of the dilated circle \( R \) is 18 cm, to find the original radius \( r \), you would need to know the scale factor \( k \).
If you're dilating the circle by a percentage (like 50%, 200%, etc.), you would convert that percentage to a decimal for the scale factor (for example, 50% becomes 0.5, and 200% becomes 2).
Once you have the scale factor, you can substitute it into the formula to find the original radius.
Without the specific scale factor, we can't determine the original radius. Please provide the scale factor for a complete answer!