Circle theroems

summary of all theorems

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  • 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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