If the radius of circle B is 13 feet, and the radius of circle C is 78 feet, then what is the scale factor from circle B to circle C ? Enter any non-whole number as a fraction.

1 answer

To find the scale factor from circle B to circle C, you divide the radius of circle C by the radius of circle B.

The radius of circle B is 13 feet, and the radius of circle C is 78 feet.

The scale factor is calculated as follows:

\[ \text{Scale Factor} = \frac{\text{Radius of Circle C}}{\text{Radius of Circle B}} = \frac{78}{13} \]

Now, simplify the fraction:

\[ \frac{78}{13} = 6 \]

So the scale factor from circle B to circle C is \( 6 \).

Since the prompt requests to express any non-whole number as a fraction, we will express 6 as a fraction:

\[ 6 = \frac{6}{1} \]

Therefore, the scale factor from circle B to circle C is:

\[ \frac{6}{1} \]