Calculating the Diameter of a Circle: The Relationship between Radius and Circumference

Diameter

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circle’s circumference

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circle’s circumference. In other words, it is the longest chord of the circle.

To calculate the diameter of a circle, you need to know either the radius or the circumference. The relationship between these measurements is as follows:

Diameter = 2 × Radius

or

Diameter = Circumference / π

where π (pi) is a mathematical constant approximately equal to 3.14159.

If you are given the radius of a circle, you can simply multiply it by 2 to find the diameter. For example, if the radius is 5 cm, the diameter would be 2 × 5 = 10 cm.

If you are given the circumference of a circle, you can divide it by π to find the diameter. For example, if the circumference is 15 cm, the diameter would be 15 / 3.14159 ≈ 4.77 cm.

It’s important to remember that diameter is always a measurement of length, typically expressed in centimeters, inches, or any other unit of length.

More Answers:

Understanding Minor Arcs in Mathematics: Definition and Examples
The Length of a Major Arc: Calculation and Example
Exploring the Properties and Applications of Chords in Mathematics and Beyond

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