What is an equation that relates the circumference of a circle as a function of its diameter?

1 Answer
Mar 22, 2018

#c=pi*d#,
Where:
#c# is the circumference of the circle, and
#d# is the diameter of the circle.

Explanation:

This is a static relationship, meaning that no matter how large or small the circle is, the circumference will always be #pi# times a large as the diameter.

For example:

Say you have a circle with a diameter of #6# inches:

The circumference will be #pi# times that, or #6pi# inches.
(#18.849555#... inches)

If you're given the radius, all you have to do is double the radius to get the corresponding diameter. Or, you can go straight from radius to circumference with the equation

#c=2pir#,
Where:
#c# is the circumference of the circle, and
#r# is the radius of the circle.

Hopefully this helped!