Geometry Of Circles Center angle Inscribed angle Inside the circle Outside the circle You can tell the angle by its vertex

CENTRAL ANGLE An angle formed by two radii and whose vertex is at the center of the circle The central angle will be the same degrees as the arc length it opens up to

INSCRIBED ANGLE An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex is on the circle The inscribed angle will be half of the arc length it opens up to

An interior angle that has its vertex at the intersection of two lines which intersect inside a circle INSIDE THE CIRCLE rule: add the arcs and divide by 2

OUTSIDE THE CIRCLE rule: subtract the arcs and divide by 2 The measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle rule: subtract the bigger arc minus the small arc and divide by 2

EXAMPLES Central Angles 1. LOADING AWESOME 2. LOADING AWESOME Inscribed Angles 1. LOADING AWESOME 2. LOADING AWESOME In The Circle Angles LOADING AWESOME 1. 2. Outside The Circle Angles 1. 2. LOADING AWESOME LOADING AWESOME LOADING AWESOME