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

Answer 1

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

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!

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Answer 2

Sophia Alfred

The equation that relates the circumference (( C )) of a circle as a function of its diameter (( d )) is:

[ C = \pi d ]

This equation states that the circumference of a circle is equal to pi times the diameter of the circle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.