Geometry Of Circles

Center angle

Inscribed angle

Inside the circle

Outside the circle

You can tell the angle by its vertex

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.

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2.

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Inscribed Angles

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In The Circle Angles

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1.

2.

Outside The Circle Angles

1.

2.

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