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Circle Theory. 2x2x x This is the ARC o Centre of Circle The Angle x subtended at the centre of a circle by an arc is twice the size of the angle on the.

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Presentation on theme: "Circle Theory. 2x2x x This is the ARC o Centre of Circle The Angle x subtended at the centre of a circle by an arc is twice the size of the angle on the."— Presentation transcript:

1 Circle Theory

2 2x2x x This is the ARC o Centre of Circle The Angle x subtended at the centre of a circle by an arc is twice the size of the angle on the circumference subtended by the same arc.

3 2x x o This is the ARC Centre of Circle Angle subtended at the Centre is twice the angle at the circumference

4 x x x We are ALL EQUAL This is the Arc Minor Segment Major Segment

5 o A B CD x 180-x If this angle was 60 0 then angle BCD would be = Points which lie on the circumference of the same circle are called cyclic (or concyclic) points. A cyclic quadrilateral is a quadrilateral with all its four corners (vertices) on the circumference of the same circle.

6 T A B O TA=TB Tangent

7 Major Segment Minor Segment ABC E D The Shaded Segment BED is called the alternate segment to the angle CBD The angle between a tangent to a circle and a chord drawn through the point of contact is equal to any angle subtended by the chord at the circumference in the alternate segment

8 Center of Circle Diameter


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