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Intersecting Tangent Secant Theorem

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More Lessons for High School Math Regents
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High School Math based on the topics required for the Regents Exam conducted by NYSED.

What is the Secant-Tangent Rule?

If a secant segment and tangent segment are drawn to a circle from the same external point, the product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

The following figures give the set operations and Venn Diagrams for complement, subset, intersect and union. Scroll down the page for more examples and solutions.

Secant Tangent Rule

Segments of Secants and Tangents Theorem
The segments of a secant segment and a tangent segment which share an endpoint outside of the circle. The product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment.

Power of a point with a tangent segment and a secant segment
Tangent - secant demonstration
Demonstration of a circle geometry property
Tangent Secant Theorem (with quadratic expressions) - Geometry
This video focuses on using the Tangent Secant Theorem to find the length of a tangent line segment. This video also reviews how to find the roots of a quadratic equation.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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