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Circle Theorems

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The angle at the centre is twice the angle at the circumference.
The angle at the circumference in a semicircle is a right angle.
Angles in the same segment are equal.
The opposite angles in a cyclic quadrilateral add up to 180°.
The angle between a tangent and a radius is 90°.
Tangents which meet at the same point are equal in length.
The angle between a tangent and a chord is equal to the angle in the alternate segment.
The perpendicular from the centre of a circle to a chord bisects the chord.
The angle at the centre is twice the angle at the circumference.
The angle at the centre is twice the angle at the circumference.
Angles in the same segment are equal.
The opposite angles in a cyclic quadrilateral add up to 180°.
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