Presentation on theme: "2x o Centre of Circle x This is the ARC"— Presentation transcript:
12x o Centre of Circle x This is the ARC 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.More Free powerpoints at
2Case 2 Centre of Circle x o 2x This is the ARC Angle subtended at the Centre is twice the angle at the circumference
3Angles Subtended in the same segment We are ALL EQUALxMajor SegmentChop SticksMinor SegmentThis is the ArcAngles Subtended in the same segmentof a circle are equal
4Cyclic Quadrilateral A If this angle was 600 then angle BCD would be =1200Box180-xDC1200Points which lie on the circumference of thesame circle are called cyclic (or concyclic)points. A cyclic quadrilateral is a quadrilateralwith all its four corners (vertices) on thecircumference of the same circle.Cyclic Quadrilateral
5BTangentOTATA=TBTangentsNB TrianglesOBT and OATare CONGRUENT!
6EMajor SegmentDMinor SegmentABCThe Shaded Segment BED is called the alternate segment to the angle CBDThe angle between a tangent to a circle and a chord drawn through the pointof contact is equal to any angle subtended by the chord at the circumference inthe alternate segment
7The angle in a semi circle is 90 degrees! Centre of CircleDiameter