Question

you are given two circles. one circle has a radius of \\(x\\) and the other has a radius of \\(y\\).

answer the following questions. leave all answers as fractions in simplest form in terms of \\(x\\) and \\(y\\).

what is the scale factor of these circles?

\\(\frac{x}{y}\\)

\\(\frac{2x}{y}\\)

Explanation:

Identify the given parameters

$$
LATEXBLOCK0
$$

Define the scale factor of similar figures

$$ k = \frac{r_1}{r_2} = \frac{x}{y} $$

Answer:

• (A) \(\frac{x}{y}\) (Correct answer)
• (B) \(\frac{2x}{y}\)