# secant of a circle

When a nonparallel tangent and secant are given, their intersection point satisfies several interesting properties. A line passing through two points on a circle is called a secant. Define secants. Every Book on Your English Syllabus Summed Up in a Quote from The Office; A tangent line just touches a curve at a point, matching the curve's slope there. 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. Secant 1. A secant line is a line that intersects a circle at two points. 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). secant n. Abbr. It is the ratio of the hypotenuse to the adjacent side and is denoted by Sec x. 2. A tangent to a circle is a line that intersects a circle exactly once. A secant is a line that intersects a circle at two points. The Lesson: We show circle O below in figure a. By Mary Jane Sterling . Every secant line, therefore, contains a chord of the circle it intersects. 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 secant line intersects two or more points on a curve. sec 1. a. secants synonyms, secants pronunciation, secants translation, English dictionary definition of secants. For instance, in the above figure, 4(4 + 2) = 3(3 + 5) The following problem uses two power theorems: — two new identities. There’s a special relationship between two secants that intersect outside of a circle. Geometry. 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. Starting with the Pythagorean identity, sin 2 θ + cos 2 θ = 1, you can derive tangent and secant Pythagorean identities. Calculate the interior length of a secant segment when two secants intersecting from a point outside the circle. Trigonometry The secant of an angle in a right triangle is the hypotenuse divided by the adjacent side. A straight line intersecting a curve at two or more points. (Whew!) Figure %: A secant line Previous section Problems Next section Problems. Tangent and Secant Identities on a Unit Circle. Intersecting secants theorem. The segments AP and DP are secants because they intersect the circle in two points. A line external to a circle, passing through one point on the circle, is a tangent. (From the Latin tangens "touching", like in the word "tangible".) 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