Secants, Tangents, and Angle Measures

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

The following diagram gives the formulas for the angles formed when two secants intersect inside a circle and when two secants intersect outside a circle. Scroll down the page for more examples and solutions for secants, tangents and angle measures.



Secants, Tangents, and Angle Measures
How to find the measure of an angle if its vertex is inside, outside or on a circle?

Angles in a Circle
This episode deals with angles formed with vertices outside the circle.

A secant is a line, ray, or line segment that intersects a circle in two places.
Three points are covered:
(1) secants that intersect in a circle which divide each other proportionally,
(2) the angle formed by secants which intersects in a circle and is half the sum of the intercepted arcs
(3) two secants drawn from the same point outside a circle that form an angle whose measure is half the difference of the intercepted arcs.

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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