← MATH 01310 · College Geometry
MATH 01310 · Circles & advanced Euclidean themes
Circle theorems (inscribed/central angles)
Definition
A central angle equals its intercepted arc’s measure. An inscribed angle is half the intercepted arc. Angle in a semicircle is a right angle. Parallel chord / tangent-chord theorems expand the toolkit.
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Inscribed angles subtending the same arc are congruent.
Tangent ⊥ radius at point of contact. Two tangents from an external point are congruent.
Intersecting chords, secants, and tangent-secant have power-of-a-point length relations.
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1.If arc AB is 80°, find the inscribed angle subtending arc AB.