Circle Circumference
The circumference of a circle is the distance around its outer edge or boundary
The circumference of a circle is the distance around its outer edge or boundary. It can be thought of as similar to the perimeter of a polygon. The circumference of a circle is determined by its radius or diameter.
To calculate the circumference of a circle, you can use the formula:
C = 2πr
where C represents the circumference, π is a mathematical constant approximately equal to 3.14159, and r represents the radius of the circle.
Alternatively, you can use the formula:
C = πd
where d represents the diameter of the circle. The diameter is the distance across the circle passing through its center, and it is twice the length of the radius. Therefore, C = 2πr and C = πd are equivalent formulas.
To find the circumference, you simply need to plug in the value for the radius or diameter into the formula and perform the calculation. Make sure the length unit of the radius or diameter matches the unit you want the circumference to be expressed in.
For example, let’s say you have a circle with a radius of 5 centimeters. Using the formula C = 2πr, you can calculate the circumference as follows:
C = 2π(5) = 10π cm
If you have the diameter instead, you can use the formula C = πd. Let’s say the diameter is 20 meters:
C = π(20) = 20π m
Remember to leave the circumference in terms of pi (π) if you want the exact value, or you can approximate it to a decimal value if needed.
Remember that the circumference of a circle is different from its area. The area of a circle is the measure of the region enclosed by its boundary, while the circumference is the length around the circle.
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