# Circle theroems

summary of all theorems

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- Created by: Georgina
- Created on: 21-04-11 11:18

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Circle Theorems

The perpendicular from the centre of A regular polygon can be constructed

the circle to a chord bisects the chord. by dividing a circle up equally.

AC = CB

Any angle in a semicircle is a right Angles in the same segment are equal.

angle.

Opposite angles in a cyclic The angle at the centre of a circle is

quadrilateral sum to 180°. twice the angle at the circumference.

a = 2b

A + C = 180° and B + D = 180°

The angle formed by a radius and a Tangents to a circle from an external

tangent to a circle is a right angle. point are equal.

PT = PS

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