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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 Cyclic Quadrilaterals

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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