Question

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 point)
ft.

Answer 1

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

Given:
- Radius of circle B = 13 feet
- Radius of circle C = 78 feet

The scale factor (SF) is calculated as follows:

\[
SF = \frac{\text{Radius of circle C}}{\text{Radius of circle B}} = \frac{78}{13}
\]

Now, simplifying \( \frac{78}{13} \):

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

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

\[
6
\]

Since you asked for the answer to be provided as a fraction if it's a non-whole number, you could express 6 as \( \frac{6}{1} \).

So the answer is:

\[
\frac{6}{1} \text{ ft}
\] or simply \( 6 \).