All Subjects Fundapsychological Ideas Parallel Lines Triangles Polygons Perimeter and also Area Similarity Right Angles Circles Geometric Solids Coordinate Geomeattempt

A circle is a special number, and also as such has parts with distinct names. Tright here are additionally unique angles, lines, and also line segments that are exclusive to circles. In this chapter, we shall research every one of them.

You are watching: A segment with endpoints on the circle

Circle:To review, acircleis a planar number consisting of all the points equiremote from a resolved point. Center:That addressed one point is referred to as the center of the circle. Circles are called by naming the facility. Radius:Any segment via one endallude at the center of the circle and also the other endpoint on the circle is a radius. (The plural of radius is radii.) Chord:Any segment whose endpoints lie on the circle is a chord. Diameter:Any chord that passes with the facility of the circle is a diameter.

In Figure 1:  Figure 1 Special points and line segments concerned a circle.

From the meaning of radius and diameter, it is clear that all radii of a circle are equal in length and also all diameters of a circle are equal in length.

Secant:Any line that includes a chord is a secant. Tangent:Any line in the exact same plane as a circle and intersecting the circle at specifically one allude is a tangent. Point of tangency:The point where a tangent line intersects a circle is the point of tangency.

In Figure 2:  Figure 2 A secant and also a tangent to a circle.

Typical tangents:A line that is tangent to 2 circles in the exact same aircraft is a common tangent. Internal prevalent tangent:A prevalent tangent that intersects the segment joining the centers of 2 circles is an inner widespread tangent. External common tangent:A common tangent that does not intersect the segment joining the centers of 2 circles is an exterior prevalent tangent.

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In Figure 3:

Lineslandmare prevalent tangents. lis an interior widespread tangent. mis an outside widespread tangent.