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Diameter vs Circumference: Differences and Relationship
*Diameter vs Circumference: Differences and Relationship*

*1. Diameter:*
The diameter of a circle is the straight-line distance from one point on the circle, through the center, to another point on the opposite side.
It is the longest chord (line segment) of the circle.
The diameter is always twice the radius (d = 2r).
Unit of measurement: Typically measured in units such as inches, centimeters, meters, etc.

*2. Circumference:*
The circumference is the total distance around the outside of a circle.
It is the perimeter or boundary length of the circle.
The circumference can be calculated using the formula:
C = πd or C = 2πr
(where π ≈ 3.1416, d is the diameter, and r is the radius).
Unit of measurement: Same as the diameter, typically measured in units like inches, centimeters, meters, etc.

*Relationship Between Diameter and Circumference:*
The circumference of a circle is directly related to the diameter.
The circumference is approximately 3.1416 times the diameter (C = πd).
This means the diameter determines how large the circle is, and the circumference tells us how far around the circle is.
For example, if the diameter of a circle is 10 units, the circumference will be about 31.416 units (using C = πd).

*Summary of Key Differences:*
*Diameter* is a straight line passing through the center of the circle, while *circumference* is the distance around the circle.
The *diameter* is the measure of width across the circle, while the *circumference* is the measure of the perimeter.
*Diameter* = 2 × *Radius**, and the **Circumference* = π × **Diameter**.