Circle Theorems

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  • Circle Theorems
    • Angles off the diameter in a semicircle= 90 degrees
    • Angles in the same segment off a chord are equal.
    • Angle at a centre is twice angle formed at circumference in same segment off a chord.
    • Opposite angles of a cyclic quadrilateral add up to 180 degrees
    • Angles of a tangent to the radius equals to 90 degrees
    • Alternate segment theorem: angle between chord and tangent= angle in alternate segment
    • Intersecting chords: AP*PB=CP*CD


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