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Properties Of A Circle

Circle Definitions:

Properties Of A Circle

Geometrical Properties of Circle:

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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

 

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The perpendicular bisector of a chord passes through the centre of a circle

E.g.

AD = DB

∠CDA = ∠CDB

=90°

 

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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:

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Angle in a semi circle is a right angle.

∠AXB = ∠AYB = 90°

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Angles in the same segment are equal

∠p = ∠p = ∠p

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