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Circle Theorem

Published in: Mathematics
  • Debarun S

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Basic and important theorem based on circle. useful for secondary level students of mathematics

  • 1
    O Centre of Circle 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.
  • 2
    ease Centre of Circle O This is the ARC Angle subtended at the Centre is twice the angle at the circumference
  • 3
    We are ALL EQUAL Major Segment Minor Segment This is the Arc Subtended in the same segmeoe
  • 4
    O Cyclic Quadrilateral 8 If this angle was 600 then angle BCD would be 1800-600=1200 C 1200 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.
  • 5
    B â/?gent Țangent TA=TB
  • 6
    E B Major Segment C Minor Segment 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
  • 7
    a semi circle is 90 Centre of Circle Diameter
  • 8


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