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. what is the scale factor of these circles? what is the ratio of the diameters of the first circle to the second circle? the ratio of the circumferences of these circles would be dropdown the ratio of the radii. these circles are dropdown. the dropdown options for the circumference ratio include less than, equal to, greater than.

Explanation:

Step1: Scale factor is radius ratio

Scale factor = \( \frac{x}{y} \)

Step2: Diameter ratio equals radius ratio

Diameter ratio = \( \frac{2x}{2y} = \frac{x}{y} \)

Step3: Circumference ratio equals radius ratio

Circumference ratio = \( \frac{2\pi x}{2\pi y} = \frac{x}{y} \), so equal to radius ratio

Answer:

The scale factor is \( \frac{x}{y} \).
The ratio of the diameters is \( \frac{x}{y} \).
The ratio of the circumferences is equal to the ratio of the radii.