- Circle Theorems for CIE IGCSE Mathematics
- Angles in a semi-circle
- Angle between tangent and radius
- Angle at the centre and angle at the circumference
- Angles in the same segment
- Angles in opposite segments
- Opposite angles in cyclic quadrilaterals
- Distance of equal chords from the centre
- Perpendicular bisector of a chord
- External tangents from a point outside the circle
- Angles in alternate segments
- Chords intersecting inside the circle
- Chords intersecting outside the circle
- Angle between extended chord and tangent

# Circle Theorems for CIE IGCSE Mathematics

- Author:
- David Cheung

- Topic:
- Circle, Mathematics

Investigations on circle theorems for CIE IGCSE Mathematics

## Table of Contents

### Angles in a semi-circle

### Angle between tangent and radius

### Angle at the centre and angle at the circumference

### Angles in the same segment

### Angles in opposite segments

### Opposite angles in cyclic quadrilaterals

### Distance of equal chords from the centre

### Perpendicular bisector of a chord

### External tangents from a point outside the circle

### Angles in alternate segments

### Chords intersecting inside the circle

### Chords intersecting outside the circle

### Angle between extended chord and tangent