Circle Theorems continued The Angle between a Tangent and its radius 90  0 Definition: A tangent is a line that will touch the circle at one point only.

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Presentation transcript:

Circle Theorems continued The Angle between a Tangent and its radius 90  0 Definition: A tangent is a line that will touch the circle at one point only. (i.e. it does not cut the circle) The angle between a tangent an its radius will always be 90 

Example Calculate the size of the lettered angle for each of the following: 54  p (i)

60  i k (ii)

(iii) 25  p n

aa 0 dd cc bb Angles in a cyclic quadrilateral Definition:A cyclic quadrilateral is any four-sided polygon whose four corners touch the circumference of the circle. Opposite angles in a cyclic quadrilateral add up to 180 

Example Calculate the size of the lettered angle for each of the following: 67  0 84  cc bb (i)

(ii) xx 0 hh gg ff

34  m

95  2e 3e

100  r s