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}\\)

what is the ratio of the diameters of the first circle to the second circle?

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

Explanation:

Calculate the scale factor of the circles

$$ \text{Scale Factor} = \frac{\text{Radius of first circle}}{\text{Radius of second circle}} = \frac{x}{y} $$

Calculate the ratio of the diameters

$$
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$$

Answer:

Question 1

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

Question 2

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