Question

The circumference of a circle measures 11.277 ft.

What is the measure of the diameter of this circle?

Answer 1

3.590ft

Explanation:

We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.

Well, what comes to mind is the fact that the circumeference,
`c`, is equal to
`\pi` multiplied by the diameter,
`d`. We can express this like so:

`c = \pi d`.

In this scenario, we know what
`c` is, so we need to rearrange the formula to make
`d` the subject. Dividing both sides by
`\pi` will accomplish this, and gives us:

`(c)/(\pi) = d`.

So if we divide the circumference by
`\pi`, we will find the diamater. Well,

`(11.277)/(\pi) = 3.58958...`

and so to 3 decimal places we get the answer

`d = 3.590\text{ft}`.