Angles in Semicircles and Chords to Tangents - Concept

Concept Concept (1)

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.

Sample Sample Problems (3)

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Angles in Semicircles and Chords to Tangents - Problem 1
Problem 1
How to find the missing angles in an angle inscribed in a semicircle.
Angles in Semicircles and Chords to Tangents - Problem 2
Problem 2
How to solve for arcs and angles formed by a chord drawn to a point of tangency.
Angles in Semicircles and Chords to Tangents - Problem 3
Problem 3
How to solve for arcs and angles formed by two chords drawn to a point of tangency.