Question
if circle O has a circumference of 37 meters and circle P has a circumference of 111 meters, then what is the scale factor from O to P.
Answers
GPT-4o mini
To find the scale factor from circle O to circle P based on their circumferences, you can use the formula for the scale factor:
\[
\text{Scale Factor} = \frac{\text{Circumference of Circle P}}{\text{Circumference of Circle O}}
\]
Given:
- Circumference of Circle O = 37 meters
- Circumference of Circle P = 111 meters
Now, substitute the values into the formula:
\[
\text{Scale Factor} = \frac{111 \text{ meters}}{37 \text{ meters}} \approx 3
\]
Thus, the scale factor from circle O to circle P is approximately **3**.
\[
\text{Scale Factor} = \frac{\text{Circumference of Circle P}}{\text{Circumference of Circle O}}
\]
Given:
- Circumference of Circle O = 37 meters
- Circumference of Circle P = 111 meters
Now, substitute the values into the formula:
\[
\text{Scale Factor} = \frac{111 \text{ meters}}{37 \text{ meters}} \approx 3
\]
Thus, the scale factor from circle O to circle P is approximately **3**.