Answer:
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Circumference of a circle:
The circumference of a circle of diameter d is given by:
[tex]C = \pi d[/tex]
In which d is the diameter.
One circle has a circumference half as large as that of a second circle.
We have that:
[tex]C_1 = \frac{C_2}{2}[/tex]
So
[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]
Simplifying by [tex]\pi[/tex]
[tex]d_1 = \frac{d_2}{2}[/tex]
[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
