# secant of a circle

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