Question

One circle has a circumference half as large as that of a

second circle. Which ratio compares the diameter of the
first circle to the diameter of the second circle?

Answer 1

The ratio that compares the diameter of the first circle to the diameter of the second circle is
`(1)/(2)`

Explanation:

Circumference of a circle:

The circumference of a circle of diameter d is given by:

`C = \pi d`

In which d is the diameter.

One circle has a circumference half as large as that of a second circle.

We have that:

`C_1 = (C_2)/(2)`

So

`\pi d_1 = (\pi d_2)/(2)`

Simplifying by
`\pi`

`d_1 = (d_2)/(2)`

`(d_1)/(d_2) = (1)/(2)`

The ratio that compares the diameter of the first circle to the diameter of the second circle is
`(1)/(2)`