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Tangent Chord Angle

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

 

 

Angles in Semicircles and Chords to Tangents :
If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 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). Also, the measure of an angle formed by a chord to a tangent is half the intercepted arc.

 

 

Chord and Tangent intersection
How to find the measure of an arc formed by the intersection of a chord and a tangent line in a circle.

 

 

 

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