GCSE & IGCSE Maths - Edexcel : Circle Theorem
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Circle Theorem, both IGCSE & GCSE Maths (Edexcel)
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8 Terms
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Angles at the centre
Angle at the centre is twice the angle at the circumference
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Angles in the same segment
Angles in the same segment are equal.
Angles *a = a*
Angles *a = a*
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Angle in a semicircle
The angle in a semicircle is 90° or a right angle
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What is a cyclic quadrilateral?
A **cyclic quadrilateral** is a **quadrilateral** drawn inside a circle. Every corner of the quadrilateral must touch the **circumference** of the circle.
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Tangents
There are two circle theorems involving **tangents**.
1\. The angle between a tangent and a **radius** is 90°.
2\. Tangents which meet at the same point are equal in length.
1\. The angle between a tangent and a **radius** is 90°.
2\. Tangents which meet at the same point are equal in length.
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Chords
The perpendicular from the centre of a circle to a **chord** **bisects** the chord.
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The alternate segment theorem
The angle between a **tangent** and a **chord** is equal to the angle in the alternate segment.
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Two Tangent Theorem
if two tangent segments are drawn to one circle from the same external point, then they are congruent.
