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What is circumference? »Its definition and meaning

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The word circumference is a term used in geometry to define a closed curved line, which is characterized by the location of its points, since they are located at the same distance from another point called the center. The circumference in turn, is integrated by a set of elements, some of them are: the radius, diameter, the chord and the arc.

The distance between the group of points and the center of the circle is called the radius. While the fraction of the line that crosses the circumference and divides it into two equal parts is called the diameter.

The diameter of a circumference represents the largest distance that can be determined between the points that make it up. For its part, the arch is the curved fragment of points that make up the entire circumference. The chord is the fraction of the line that joins two points on the circumference.

It is important to highlight the difference that exists between a circumference and a circle, since many tend to see them as synonyms, and they are not, since according to the theory, a circle represents the geometric space that is supported by the points that are part of the circumference, indicating then that the circumference becomes the perimeter or contour of a circle.

The relative positions of a line with respect to the circumference are:

The tangent line: is the one that touches the circumference at a point, that is, both have a point in common.

The secant line: is the one that touches the circumference at two points; in this case, both the line and the circumference have two points in common.

The outer straight: is one that does not have any point in common with the circumference.

Similarly, the circumference has a series of angles, which are classified as: central angle, is one with a vertex in the center and its sides are made up of two radii. Inscribed angle is one with a vertex located on the circumference, and its sides are secant to it. semi-inscribed angle: it is one with a vertex located at a point on the circumference and where one of the sides is tangent and the other is secant to it. Interior angle: is one with a vertex on the inside of the circumference. Exterior angle is one with a vertex located outside the circumference and its sides can be secant or tangent.