# secant of a circle

If a secant segment and tangent segment are drawn to a circle from the same external point, the length of the tangent segment is the geometric mean between the length of the secant segment and the length of the external part of the secant segment. A line external to a circle, passing through one point on the circle, is a tangent. Tangent and Secant Identities on a Unit Circle. When a nonparallel tangent and secant are given, their intersection point satisfies several interesting properties. A secant is a line that intersects a circle at two points. A secant of a circle is a line connecting two points on the circle. A secant line intersects two or more points on a curve. Every secant line, therefore, contains a chord of the circle it intersects. Secant of a Circle Calculator. secants synonyms, secants pronunciation, secants translation, English dictionary definition of secants. Intersecting secants theorem. A tangent to a circle is a line that intersects a circle exactly once. A tangent line just touches a curve at a point, matching the curve's slope there. By Mary Jane Sterling . Trigonometry The secant of an angle in a right triangle is the hypotenuse divided by the adjacent side. The segments AP and DP are secants because they intersect the circle in two points. (Whew!) All you do is throw in a little algebra and apply the reciprocal and ratio identities and — poof! Secant 1. Points A, B, C, and D are on the circle. Calculate the interior length of a secant segment when two secants intersecting from a point outside the circle. The Lesson: We show circle O below in figure a. Starting with the Pythagorean identity, sin 2 θ + cos 2 θ = 1, you can derive tangent and secant Pythagorean identities. For instance, in the above figure, 4(4 + 2) = 3(3 + 5) The following problem uses two power theorems: — two new identities. Tangent Lines and Secant Lines (This is about lines, you might want the tangent and secant functions). Secant Formula is one of the six trigonometric functions formulae. sec 1. a. There’s a special relationship between two secants that intersect outside of a circle. If two secants are intersecting inside a circle from a point, then the product of the secant length (A) and exterior part of that segment (B) equals the product of other secant length (C) and exterior part of that segment (D). 2. A straight line intersecting a curve at two or more points. Secant-Secant Power Theorem: If two secants are drawn from an external point to a circle, then the product of the measures of one secant’s external part and that entire secant is equal to the product of the measures of the other secant’s external part and that entire secant. The length outside the circle, multiplied by the length of the whole secant is equal to the outside length of the other secant multiplied by the whole length of the other secant. It is the ratio of the hypotenuse to the adjacent side and is denoted by Sec x. Geometry. 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