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GeoGebraGeoGebra Classroom

Central & Intercepting Angles

The applet below illustrates the types of angles that can be formed inside a circle.

When point E and point P coincide, the green angles that are formed are specifically called ____________ _____________, because the vertex is positioned at the center of the circle.

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  • A
  • B
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Now, drag points A, B, C, or D and observe how the positioning of the green angles changes. When point E and point P no longer coincide, the green angles that are formed are more generally called ____________ ____________, because both sides of the angle intersect an arc of the circle.

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  • A
  • B
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Definition of Arc Measure

Click "Reset to Central Angle". By definition, the measures of the red arc and blue arc are _________________ to the measure of the central angle.