Circle Geometry

# Circle Geometry - Maths Extension 1 Circle Geometry Circle...

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http://www.geocities.com/fatmuscle/HSC/ 1 Circle Geometry Properties of a Circle Circle Theorems: ! Angles and chords ! Angles ! Chords ! Tangents ! Cyclic Quadrilaterals

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http://www.geocities.com/fatmuscle/HSC/ 2 Properties of a Circle Radius Diameter Tangent Major Segment Minor Segment Chord Sector Arc Concyclic points form a Cyclic Quadrilateral Tangents Externally and Internally Concentric circles
http://www.geocities.com/fatmuscle/HSC/ 3 Circle Theorems ! Equal arcs subtend equal angels at the centre of the circle. ! If two arcs subtend equal angles at the centre of the circle, then the arcs are equal. θ r l = ! Equal chords subtend equal angles at the centre of the circle. ! Equal angles subtended at the centre of the circle cut off equal chords. S OC OB = (radius of circle) A COD BOA = (vert. opp. Angles) S OD OA = (radius of circle) COD BOA (SAS) AB = DC (corresponding sides in s ) O l l || || A O B D C || || O

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http://www.geocities.com/fatmuscle/HSC/ 4 ! A perpendicular line from the centre of a
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Circle Geometry - Maths Extension 1 Circle Geometry Circle...

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