To find the scale factor from circle O to circle P based on their circumferences, we can use the formula for the scale factor, which is the ratio of the circumferences of the two circles.
Given:
- Circumference of circle O = 37 meters
- Circumference of circle P = 111 meters
The scale factor (k) from circle O to circle P can be calculated as follows:
\[ k = \frac{\text{Circumference of circle P}}{\text{Circumference of circle O}} = \frac{111}{37} \]
Now we can simplify that fraction:
Calculating \( \frac{111}{37} \):
\[ \frac{111}{37} \approx 3 \]
Thus, the scale factor from circle O to circle P is approximately 3.