Igcse Mathematics Revision NotesO Level Mathematics Revision Notes
Properties Of A Circle
Circle Definitions:
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Geometrical Properties of Circle:
If 2 chords in a circle area congruent, then the 2 angles at the centre of the circle are identical.
AB = CD (Equal Chords)
∠ AOB = ∠ COD
The perpendicular bisector of a chord passes through the centre of a circle
E.g.
AD = DB
∠CDA = ∠CDB
=90°
2 congurent chords in a circle are of the same distance from the centre of the circle.
E.g.
AB = CD
OX = OY
Angle Properties Of Cicle:
Angle in a semi circle is a right angle.
∠AXB = ∠AYB = 90°
Angles in the same segment are equal
∠p = ∠p = ∠p
