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  2. Circle theorems are rules that describe the properties of angles, chords, tangents, and sectors in a circle123.Some of the main circle theorems are123:
    • Angles at the centre are twice the angles at the circumference subtended by the same arc.
    • Angles in a semicircle are 90 degrees.
    • Angles in the same segment are equal.
    • Angles in a cyclic quadrilateral add up to 180 degrees.
    • Tangents from a point to a circle are equal in length.
    • The angle between a tangent and a radius is 90 degrees.
    • The alternate segment theorem states that the angle between a tangent and a chord is equal to the angle in the alternate segment.
    Learn more:

    There are seven main circle theorems:

    • Alternate segment circle theorem
    • Angle at the centre circle theorem
    • Angles in the same segment circle theorem
    • Angle in a semi circle theorem
    • Chord circle theorem
    thirdspacelearning.com/gcse-maths/geometry-and …
    First circle theorem - angles at the centre and at the circumference. Second circle theorem - angle in a semicircle. Third circle theorem - angles in the same segment. Fourth circle theorem - angles in a cyclic quadlateral. Fifth circle theorem - length of tangents. Sixth circle theorem - angle between circle tangent and radius.
    www.timdevereux.co.uk/maths/geompages/8theore…

    Circle Theorems

    • Theorems This section explains circle theorem, including tangents, sectors, angles and proofs. ...
    • Isosceles Triangle Two Radii and a chord make an isosceles triangle.
    revisionmaths.com/gcse-maths-revision/shape-an…
     
  3. People also ask
    How many circle theorems are there?There are seven main circle theorems: Below is a summary of each circle theorem, along with a diagram. You need to remember all of these circle theorem rules and be able to describe each one in a sentence. What are circle theorems? Download our free circle theorems poster to focus your revision!
    What are some important circle theorems based on angles?Some of the important circle theorems based on angles are: The angle subtended by a chord at the center is twice the angle subtended by it at the circumference. The angle subtended by the diameter at the circumference is a right angle. The angles subtended at the circumference by the same arc are equal. List Circle Theorems Statements.
    Do circles have different angle properties described by different circle theorems?Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles. There are seven circle theorems. Learn about and revise the different angle properties of circles described by different circle theorems with GCSE Bitesize AQA Maths.
    What is a circle theorem?Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point. The fixed point is called the centre of the circle, and the constant distance between any point on the circle and its centre is called the radius.
     
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  12. Circle Theorems - Mathematics GCSE Revision

    WEBLearn and revise the main circle theorems for GCSE maths, such as tangents, sectors, angles and proofs. Watch videos, see diagrams and examples, and test your knowledge with questions.

  13. Circle Theorems Notes – Corbettmaths

    WEBMar 14, 2015 · Revision notes on Circle Theorems.

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    WEBLearn about the seven circle theorems, their properties, proofs and applications. Download a free worksheet with 20+ questions and answers based on Edexcel, AQA and OCR exam questions.

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