Circle Theorems 0.0 / 5 MathematicsCircle TheoremsGCSEEdexcel Created by: max mullyCreated on: 10-05-18 11:50 Angles at the centre and circumference More simply, the angle at the centre is double the angle at the circumference. 1 of 8 Angles in the same segment The angles at the circumference subtended by the same arc are equal. Put more simply, angles in the same segment are equal. 2 of 8 Cyclic quadrilaterals A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every vertex of the quadrilateral must touch the circumference of the circle. 3 of 8 Angles in a semicircle The angle at the circumference in a semicircle is a right angle. 4 of 8 Tangents 1 The angle between a tangent and a radius is 90° 5 of 8 Tangents 2 Tangents which meet at the same point are equal in length. 6 of 8 Chords he perpendicular from the centre of a circle to a chord bisects the chord. 7 of 8 The alternate segment theorem The angle between a tangent and a chord is equal to the angle in the alternate segment. 8 of 8

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