Circle theorems

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Last updated 3:35 PM on 6/11/25
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8 Terms

1
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A tangent and a radius meet at 90 degrees

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2
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Angles at the centre of the circle is twice the angle of the circumference

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3
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Angles in semi-circle are 90 degrees

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4
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Angles in same segment are equal

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5
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Opposite angles in a cyclic quadrilateral add to 180 degrees

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6
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Tangents from the same point are the same length

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7
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The angle between a tangent and a chord is equal to the angle in the alternate segment

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8
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The perpendicular from the centre of a chord bisects the chord

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