# Figure %: A secant line Previous section Problems Next section Problems. There's a special relationship between two secants that intersect outside of a circle. All

Introduction: A circle is all points equidistant from one point called the center of the circle. Segments drawn within, through, or tangent to a circle create angles which we will now define and measure. Intersecting segments also create smaller segments. We will learn how to relate the lengths of these segments mathematically.

The part of a secant inside the circle is a chord. But the entire line is a secant. It extends on both sides and out of the circle. Something important about the tangent  Secant of a circle crosses the circle only at two points. 3) It is a line that divides the circle into two equal halves. Choose the correct answer and give justification for each. The angle between a tangent to a circle … A secant is a segment that intersects a circle twice. The blue line in the figure above is called the "secant to the circle c". As you move one of the points P,Q, the secant will change accordingly. If the two points coincide at the same point, the secant becomes a tangent, since it now touches the circle at just one point.

In the case of a circle, a secant will intersect the circle in exactly two points and a chord is the line segment determined by these two points, that is the interval on a secant whose endpoints are these points. If two secant lines contain chords AB and CD in a circle and intersect at a point P that is not on the circle, then the line segment lengths satisfy AP⋅PB = CP⋅PD.

## secant, in mathematics. 1 In geometry, a secant is a straight line cutting a curve or surface. If it intersects the curve in two different points, as in the secant of a circle circle, closed plane curve consisting of all points at a given distance from some fixed point, called the center.

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If the two points coincide at the same point, the secant becomes a tangent, since it now touches the circle at just one point. The line segment inside the circle between P and Q is called a chord. A secant of a circle is a line that passes through the circle, intersecting it in exactly two points. Secants are usually lines, extending infinitely in both direction. Congruent circles are circles  In this lesson we learn how to find the intercepting arc lengths of two secant lines or two chords that intersect on the interior of a circle. We also find the angle  The infinite line extension of a chord is a secant line, or just secant. Also the chord has both it's end points on the circle and secant may or may not have end  Segments in Circles. Core Concepts. Tangent Segment and Secant Segment.

A secant contains a chord of a circle.Theorems on Angles Formed byTangents and Secants1.If two secants intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.2.If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference Circles are present in real life, both in the natural world and in manmade creations. Manicouagan Reservoir in Canada is a ring-shaped lake that formed in the remains of a crater. Mushrooms with domed caps have circular bases. Ferris wheels A circle only has one angle.
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