Circle Theorems

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  • Created by: DJSalt
  • Created on: 02-03-17 16:08

Circle theorem 1

Angles at the centre are double the angle at the circumference 

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Circle theorem 2

Angles in a semi-circle are 90 degrees. 

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Circle theorem 3

Angles in the same segment are equal

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Circle theorem 4

Opposite angles in cyclic quadrilaterals add up to 180 degrees

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Circle theorem 5

Lengths of tangents are equal if from the same point

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Circle theorem 6

The angle between the radius and the tangent is 90 degrees 

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Circle theorem 7

The angle between the tangent and chord is equal to the angle in the alternate segment. This is called alternate segment theorem.

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Circle theorem 8

Radius may bisect the chord which can produce a right angle. 

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