# Circle Theorems

Mind Map by ak_, updated more than 1 year ago
 Created by ak_ about 7 years ago
105
5

### Description

Maths Mind Map on Circle Theorems, created by ak_ on 05/06/2013.

## Resource summary

Circle Theorems
1 Theorems involving subtended angles
1.1 Angles subtended on the same arc are equal.
1.2 Angle Subtended by a diameter is a right angle
1.3 Angles at centre is double the angle at the circumfrences
2.1 The sum of the opposite angles of a cyclic quadrilateral is 180 degress
3 Tangents and Chords
3.1 A tangent to a circle is perpendicular to the radius.
3.2 Tangents to a circle froman external point ot the points of contact are equal in length.
3.3 The line joining an external point to the centre of the circle bisects the angle between the tangents
4 Alternate Segment Theorem
4.1 The angle between a tangent and a chord is equal to the angle in the alternate segment.

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