All topics basic Ideas Parallel present triangle polygons Perimeter and also Area Similarity ideal Angles one Geometric Solids name: coordinates Geometry

A one is a unique figure, and also as such has actually parts through special names. Over there are also special angles, lines, and also line segments that space exclusive to circles. In this chapter, us shall examine all of them.

You are watching: A segment with endpoints on a circle


Circle:To review, acircleis a planar figure consisting of every the point out equidistant indigenous a fixed point. Center:That resolved one suggest is dubbed the center of the circle. Circles are called by specify name the center. Radius:Any segment v one endpoint at the center of the circle and also the various other endpoint top top the one is a radius. (The plural of radius is radii.) Chord:Any segment whose endpoints lied on the one is a chord. Diameter:Any chord the passes v the center of the one is a diameter.

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Figure 1 Special points and line segments related to a circle.

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

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

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Figure 2 A secant and a tangent come a circle.

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

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Lineslandmare usual tangents. lis an internal common tangent. mis one external usual tangent.