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
?(1 point)

1 answer

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.