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Page 1

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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

Page 2

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segment. This is the alternate segment theorem, i.e. a = b


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