Question

What is the circumference of a circle with a diameter of 17 m?

Answer 1

`53.41 "m"`

Explanation:

First, you need to know how to find the circumference of a circle.
Here's the formula:
`π` `*` `2r` `=` `c`

`R` is the radius. `C` is circumference.

You have to multiply `r` by `2` to get the diameter.

Here is another formula:
`π` `*` `d` `=` `c`

`D` is diameter.

Anyway, since you've got two formulas, you know how to do it if you have the radius but not the diameter, or just the radius.

So, to actually get the circumference, you take the diameter (`17`) and multiply it by Pi (`3.14` or `π`)

`17 "m"` `*` `pi` `=` `53.41 "m"`

`53.41 "m"` is our final answer.

Hope I helped (:

Answer 2

The circumference is (approximately) 53.4 m.

Explanation:

The circumference of (or "distance around") a circle is proportional to its diameter. In fact, the circumference is always `pi` times as long as the diameter. We write this as:

`C = pid`

`stackrel C overbrace"The circumference"stackrel = overbrace"is" stackrel pi overbrace( color(white)I pi color(white)I )stackrel xx overbrace"times as long as " stackrel d overbrace"the diameter".`

Using this relation, we can easily find `C` if we know `d`.

Given that `d=17" m"` and that `pi ~~ 3.1416`, we plug these into the equation above to get:

`C=pid`
`color(white)(C)~~3.1416(17" m")`
`color(white)(C)~~53.4" m"`

So a circle with diameter 17 m has a circumference of 53.4 m.