circle theorems

sheet of maths circle theorems

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  • Created by: sophie
  • Created on: 19-04-11 11:24
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Circle Theorems
1 Angle in the semi circle is always 90o
2 The radius and a tangent always meet at 90o
3 Angles in the same segment are equal, e.g. ABC=ADC
4 The angle at the centre is twice the angle
at the circumference, e.g. POQ = 2 x
PRQ
5 Opposite angles of a cyclic quadrilateral add up to 180o
i.e. x + y = 1800 & a + b = 1800
6 The lengths of 2 tangent
from a point are equal. RS=RT
7 The angle between a
tangent and a chord is equal to
the angle in the alternate

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This is the alternate segment theorem, i.e.…read more

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