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A circle is a distinct figure, and also as such has parts through special names. Over there are also special angles, lines, and line segment that room exclusive come circles. In this chapter, we shall examine every one of them.

You are watching: A segment with endpoints on a circle is a

Circle:To review, acircleis a planar figure consisting of all the points equidistant from a resolved point. Center:That addressed one suggest is called the center of the circle. One are named by specify name the center. Radius:Any segment with one endpoint at the facility of the circle and also the various other endpoint ~ above the one is a radius. (The many of radius is radii.) Chord:Any segment whose endpoints lie on the one is a chord. Diameter:Any chord that passes with the center of the circle is a diameter.

In number 1:



Figure 1 Special points and also line segments pertained to a circle.

From the an interpretation of radius and diameter, the is clear the all radii the a circle space equal in length and all diameters the a circle are equal in length.

Secant:Any heat that has a chord is a secant. Tangent:Any heat in the same aircraft as a circle and also intersecting the circle at exactly one suggest is a tangent. Point that tangency:The point where a tangent heat intersects a circle is the suggest of tangency.

In figure 2:



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

Common tangents:A line that is tangent to 2 circles in the same aircraft is a common tangent. Internal usual tangent:A common tangent that intersects the segment involvement the centers of two circles is one internal typical tangent. External usual tangent:A typical tangent that does not intersect the segment authorized the centers of 2 circles is one external usual tangent.

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In figure 3:

Lineslandmare usual tangents. lis an internal usual tangent. mis an external typical tangent.