Question

1. a circle with radius r₁ = 5 is dilated to a circle with radius r₂ = 50. what is the scale factor (k)?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) for a dilation of a circle is given by \(k=\frac{r_2}{r_1}\), where \(r_2\) is the radius of the dilated circle and \(r_1\) is the radius of the original circle.

Step2: Substitute the given values

We are given \(r_1 = 5\) and \(r_2=50\). Substituting these values into the formula, we get \(k=\frac{50}{5}\).

Step3: Calculate the value of \(k\)

\(\frac{50}{5}=10\)

Answer:

b. 10