Question

the ratio of the diameters of two circles is y:z. what is the scale factor of the circles?
$\frac{y}{2z}$
$\frac{y}{z}$
yz
2yz

Explanation:

Step1: Recall scale - factor definition

The scale factor of two similar figures is the ratio of corresponding linear dimensions. For two circles, the diameter is a linear dimension.

Step2: Identify the ratio of diameters

Given that the ratio of the diameters of two circles is \(y:z\), which can be written as the fraction \(\frac{y}{z}\). Since the scale - factor of two circles is the ratio of their diameters, the scale factor of the two circles is \(\frac{y}{z}\).

Answer:

B. \(\frac{y}{z}\)