Secant of a Circle Calculator: Calculate Secant Chord Length

Calculate the Secant Chord Length

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Instantly find the secant of a circle's length (the chord segment) with our free online calculator. Understand the geometry of secant lines, their relationship to chords, and how to apply the secant formula for various circle problems. Simplify your geometry calculations today!

Formula:

The formula to determine the length (L) of the chord created by a secant line inside a circle is derived using the Pythagorean theorem. Given the circle's radius (r) and the perpendicular distance (d) from the circle's center to the secant line, the formula is:
L = 2 × √(r2 - d2)
Where:

  • L = Length of the secant segment (the chord)
  • r = Radius of the circle
  • d = Perpendicular distance from the circle's center to the secant line
Note: For a real result, the radius (r) must be greater than or equal to the perpendicular distance (d). If r < d, the secant line does not intersect the circle, and the chord length is 0.

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