Understanding Segments on a Circle | Key Terminologies and Definitions

a segment with endpoints on a circle

A segment with endpoints on a circle refers to a section of a circle that is bounded by two points on its circumference

A segment with endpoints on a circle refers to a section of a circle that is bounded by two points on its circumference. It is essentially a straight line connecting two points on the circle. This line segment is a portion of the circumference or edge of the circle.

A few key terminologies related to segments on a circle:

1. Chord: A chord is a line segment with both endpoints on the circle. It is the simplest form of a segment on a circle.

2. Diameter: A diameter is a chord that passes through the center of the circle. It is the longest possible chord in a circle, and it divides the circle into two equal halves.

3. Arc: An arc is a portion of the circumference of the circle. It is defined by two endpoints on the circle and the arc itself lies on the circumference. The length of an arc is determined by the measure of the central angle formed by the two endpoints.

4. Secant: A secant is a line that intersects a circle in two distinct points. It extends beyond the circle on both sides. A secant creates two segments within the circle (one minor and one major) and extends beyond the circle on both sides.

5. Tangent: A tangent is a line that touches the circle at exactly one point. It intersects the circle at one point, called the point of tangency. A tangent line is perpendicular to the radius drawn at that point of tangency.

In summary, a segment with endpoints on a circle is a line segment that connects two points on the circumference of a circle. This segment is a part of the circle and can have various names depending on its characteristics, such as a chord, diameter, arc, secant, or tangent.

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