Calculating the Circumference of a Circle | Formula, Radius, and Diameter explained

Circumference of a circle

The circumference of a circle is the distance around the outer boundary of the circle

The circumference of a circle is the distance around the outer boundary of the circle. It can be calculated using the formula:

C = 2πr

where C represents the circumference, π is a mathematical constant approximately equal to 3.14 (or can be approximated as 22/7), and r is the radius of the circle.

The radius of a circle is the distance from the center of the circle to any point on its boundary. It is represented by the letter r in the formula.

To find the circumference of a circle, you need to know either the radius or the diameter. The diameter is a line segment that passes through the center of the circle and has both endpoints on the boundary of the circle. The diameter is twice the length of the radius.

If you are given the radius, you can directly substitute it into the formula C = 2πr to find the circumference. If you are given the diameter instead, you can find the radius by dividing the diameter by 2, and then use the radius in the formula.

For example, let’s say you have a circle with a radius of 5 units. Plugging this value into the formula, we get:

C = 2π(5) = 10π ≈ 31.4 units

So, the circumference of a circle with a radius of 5 units is approximately 31.4 units.

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