GCSE Maths (AQA)

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Twin Angles at Circumference

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Geometry and Measures Properties and Constructions

Twin Angles at Circumference

1:53 More Circle Theorems
Spec G10
Previous Triangle from a Diameter Next Front & Side Elevations
  • The angles of the circumference subtended by the same arc are equal
  • An arc is a portion of a circle's circumference
  • An angle subtended by an arc is formed by two straight lines originating from the ends of the arc
  • The angles at the center of a circle is twice the angle at the circumference subtended by the same arc
  • By extending two radii from points A and B to the center of the circle, a new angle at the center subtended by the same arc is created
  • The angle at the center must equal twice the angle at the circumference
  • The only way for this to be true is if the angles at the circumference are equal
  • This circle theorem needs to be known and able to be proven

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