How to Calculate the Circumference of a Circle: A Step-by-Step Guide with Examples

Circle Circumference

The circumference of a circle is the distance around its outer edge

The circumference of a circle is the distance around its outer edge. It can be found using the formula:

C = 2πr

Where C is the circumference and r is the radius of the circle. π (pi) is a mathematical constant approximately equal to 3.14, but for more accurate calculations, you can use more decimal places.

To calculate the circumference of a circle, follow these steps:

1. Measure the radius (r) of the circle. The radius is the distance from the center of the circle to any point on its edge. Make sure to use the same unit of measurement for the radius as you want for the circumference.

2. Plug the value of the radius (r) into the formula: C = 2πr

3. Multiply 2π by the value of the radius. For example, if the radius is 5 units, you would have: C = 2π(5)

4. Calculate the value of 2π multiplied by the radius and simplify if needed. If you are using a calculator, enter 2π multiplied by the radius and make sure to use the parentheses. If you are doing the calculation manually, multiply the value of π with the radius.

5. The result will be the circumference (C) of the circle.

Remember to include the unit of measurement in your answer, as the circumference will have the same unit as the radius.

Example:
Let’s say you have a circle with a radius of 7 cm. To find its circumference, you would use the formula, C = 2πr:

C = 2π(7)
C ≈ 2(3.14)(7)
C ≈ 6.28(7)
C ≈ 43.96 cm

So, the circumference of a circle with a radius of 7 cm is approximately 43.96 cm.

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