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Circle Theorems-Arrow

Arrow- the angle subtended at the centre is twice the angle subtended at the circumference.

The angle at the centre of this arrow is always double the angle at the point.

E.G. Angle at circumference = 55.5*        Angle at the centre =111*                   (http://revisionmaths.com/sites/mathsrevision.net/files/Circle4.gif)

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Circle Theorems-Triangles inside circles

The triangle containing a diameter, will be a right angled triangle.

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Circle Theorems-Cyclic quadrilaterals

Opposite angles in a cyclic quadrilateral add up to 180*

E.G. 100 + Y = 180*                   60 + X = 180*                       Y = 80*                X = 120*

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Circle Theorems-Tangents to a circle

A tangent will always meet a radius at 90*

A tangent only touches the circle once.

(http://revisionmaths.com/sites/mathsrevision.net/files/Circle3.gif)

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Indices-Fractional,Laws of & Negative

(http://www.webanswers.com/post-images/2/23/448A080C-5250-4C1B-B4AA1FC22D9619E7.png) -Fractional               (http://toscanyacademy.com/blog/wp-content/uploads/2013/12/indices.jpg)-Laws of 

-Negative

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