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Encyclopedia of Mathematics
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Chapter 7. Circle and Angles

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Table of Contents

 

Central angle and its properties

Center angle definitions

How to find the center angle?

Center angle and Arc length

Central angle and Radian

Central angle and Inscribed angle

 

 

Inscribed angle and its properties

Inscribed angle

Inscribed angle corresponding to the central angle

Inscribed angle theorem

If the inscribed angle is right

Inscribed angles resting on the same arc

Two inscribed angles rest on the same chord

An inscribed angle resting on a diameter (on a semicircle)

The external angle for an inscribed angle

 

 

Angles between chords, tangents, secants and circles

Angle between chords

Angle between secants

Angle between the tangent line and chord

Angle between the tangent line and secant

An angle between tangent lines

Angle between the crossing (or touching) circles

Angle between nontouching circles

Topics in Geometry
  • Basic concepts and figures of Plane Geometry
  • Triangles
  • Properties of Circle
    • Chapter 1. A circle. Parts of Circles
    • Chapter 2. The circumference. The number π
    • Chapter 3. The arc. The radian measure of an angle
    • Chapter 4. Disk. Circular sector. Circular segment. Annulus
    • Chapter 5. How to draw a circle
    • Chapter 6. Types of circles
    • Chapter 7. Circle and Angles
    • Chapter 8. Relative position of two circles
    • Chapter 9. Chords and secants
    • Chapter 10. The tangent line
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