# secant of a circle

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