Question

What is the exact circumference of a circle with a diameter of 37 inches?

Answer 1

`37pi` `"in"`

Explanation:

The circumference of a circle is equal to pi times the diameter.

Pi is an irrational number about equal to `3.14`. Its special quality is that it is the ratio between the circumference and diameter of every circle.

The formula for the circumference of a circle is `C=pid`, and since `d=37`, we know that `C=37pi`.

`37piapprox116.238928183`, but pi is irrational and this decimal will never end.

Thus, the most exact way to express the circumference is as `37pi` `"in"`.