Tangents, Chords, Angles

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

Angles in Semicircles
An angle is inscribed in a semicircle is 90° because it will be half the measure of a semicircle (180 degrees). Angles in semicircle is one way of finding missing missing angles and lengths. Pythagorean's theorem can be used to find missing lengths (remember that the diameter is the hypotenuse).

Chords to Tangents
The measure of an angle formed by a chord to a tangent is half the intercepted arc.

Arcs, semicircles, and central angles
Central Angle
A central angle C of a circle has its vertex at the center C of the circle. It separates the circle into two arcs: the minor arc and the major arc.

Angles Formed by Chords, Tangents & Secants

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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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