Question

Circle P has a radius of 14 feet. Circle Q has a diameter of 14 feet. What is the ratio of the circumference of P to the circumference of Q?

Answer 1

2:1

Explanation:

Circle P has radius 14 feet.

The circumference of this circle is given by:

`C=2 \pi \: r`

We plug in the radius to get:

`C=2\pi \: * 14 = 28\pi`

Circle Q has diameter 14 feet.

The circumference of this circle is given by

`C=\pi \: d`

We substitute the diameter d=14 to get,

`C=\pi \: * 14`

`C=14\pi`

The ratio of the circumference of P to the circumference of Q is

`28 \pi: 14\pi = 2:1`