Circle Geometry

Brenden, Sep 21, 2018

Table of Contents

  1. Circle Chord Theorems
    1. Chord Theorem 1
    2. Chord Theorem 2
    3. Chord Theorem 3
    4. Chord Theorem 4
  2. Circle Angle Theorems
    1. Angle Theorem 1
    2. Angle Theorem 2
    3. Angle Theorem 3
  3. Tangent Theorems
    1. Tangent Theorem 1
    2. Tangent Theorem 2

1.

Circle Chord Theorems

Circle Geometry

  • 1. Chord Theorem 1
  • 2. Chord Theorem 2
  • 3. Chord Theorem 3
  • 4. Chord Theorem 4

1.1.

Chord Theorem 1

Chords of equal length subtend equal angles at the centre of the circle.
– Brenden

1.2.

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1.3.

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1.4.

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2.

Circle Angle Theorems

Circle Geometry

  • 1. Angle Theorem 1
  • 2. Angle Theorem 2
  • 3. Angle Theorem 3

2.1.

Angle Theorem 1

The angle at the centre of a circle is twice the angle on the circle subtended by the same arc.
– Brenden

2.2.

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2.3.

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3.

Tangent Theorems

  • 1. Tangent Theorem 1
  • 2. Tangent Theorem 2

3.1.

Tangent Theorem 1

Tangent Theorem 1: The tangent is perpendicular to the radius of the circle at the point of contact.
– Brenden

3.2.

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