Question

circle e and diameter $overline{df}$ are shown on the graph below. circle e is dilated by a scale factor of 5 centered at (5, 1) to create circle $e$.
what is the circumference of circle $e$?
write your answer as a whole number or as a decimal rounded to the nearest tenth.
____ units

Explanation:

Step1: Find original diameter length

From the graph, $\overline{DF}$ spans from $x=3$ to $x=7$, so length is $7-3=4$ units.

Step2: Find dilated diameter

Multiply by scale factor 5: $4 \times 5 = 20$ units.

Step3: Calculate circumference

Use formula $C=\pi d$, substitute $d=20$: $C=\pi \times 20 \approx 62.8$

Answer:

62.8 units