Circumference of a Circle
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More Lessons for Grade 6 Math
Math Worksheets
Examples, videos, worksheets, stories and songs to help Grade 6 students learn about the Circle: Area, Circumference, Radius, Diameter.
Circumference of a Circle<br. The circumference of a circle is the distance around its outer edge. Think of it as the perimeter of a circle. It depends on the radius or diameter of the circle.
The following figures give the formula for the circumference of circle. Scroll down the page for more examples and solutions.
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The Circumference Formula
There are two common formulas for the circumference (C) of a circle, depending on whether you know the radius or the diameter:
-
Using the diameter (d):
C=πd
Where:
C = Circumference
π (pi) is a mathematical constant, approximately 3.14159.
d = diameter of the circle (the distance across the circle passing through its center). -
Using the radius (r):
C=2πr
Where:
C = Circumference
π (pi) ≈3.14159
r = radius of the circle (the distance from the center of the circle to any point on its edge).
How to Remember the Formula
A popular mnemonic to distinguish the circumference formula from the area formula is:
“Cherry Pies Delicious!"
Cherry (for Circumference)
Pies (for π)
Delicious (for diameter)
This gives you: C=πd
You can also combine it with the area mnemonic:
“Cherry pies delicious! Apple pies are too!"
Cherry Pies Delicious, C=πd (Circumference)
Apple Pies Are Two, A=πr2 (Area)
Videos
How to find circumference of a circle given the radius or diameter?
How to calculate the circumference of a circle?
The circumference of a circle is the distance around the circle, and the formula for the circumference of a circle is 2 times pi times the radius of the circle. Find the circumference of a circle given the diameter.
This video gives several examples of the process used to find the circumference of a circle.
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