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REVISION NOTES

IGCSE Edexcel Mathematics A

4.6 Circle Properties

edexcel_igcse_mathematics a_topic 30_circle properties_015_

4.6.1 Recognise the terms ‘centre’, ‘radius’, ‘chord’, ‘diameter’, ‘circumference’, ‘tangent’, ‘arc’, ‘sector’ and ‘segment’ of a circle

edexcel_igcse_mathematics a_topic 30_circle properties_001_Parts of a Circle

A chord is a line segment joining two points on the circumference of a circle.

A line segment drawn from the centre of a circle to the midpoint of a chord will intersect the chord at right angles.

A tangent is a straight line that touches a circle only once.

A tangent and radius meet at right angle.

4.6.2 Understand chord and tangent properties of circles

edexcel_igcse_mathematics a_topic 30_circle properties_002_Circle Properties: Chord (1)
edexcel_igcse_mathematics a_topic 30_circle properties_002_Circle Properties: Chord (1)
edexcel_igcse_mathematics a_topic 30_circle properties_004_Circle Properties: Two Tangents (3)

4.6.3 Understand and use the internal and external intersecting chord properties (Higher Tier Only)

edexcel_igcse_mathematics a_topic 30_circle properties_005_Circle Properties: Internal Intersecting Chord (4)
edexcel_igcse_mathematics a_topic 30_circle properties_006_Circle Properties: Internal Intersecting Chord (4)
edexcel_igcse_mathematics a_topic 30_circle properties_007_Circle Properties: External Intersecting Chord (5)
edexcel_igcse_mathematics a_topic 30_circle properties_008_Circle Properties: External Intersecting Chord (5)

4.6.4 Recognise the term ‘cyclic quadrilateral’ (Higher Tier Only)

edexcel_igcse_mathematics a_topic 30_circle properties_009_Cyclical Quadrilateral

4.6.5 Understand and use angle properties of the circle including: (Higher Tier Only)

edexcel_igcse_mathematics a_topic 30_circle properties_010_Circle Properties: Angle Properties (6)
edexcel_igcse_mathematics a_topic 30_circle properties_011_Circle Properties: Angle Properties (7)
edexcel_igcse_mathematics a_topic 30_circle properties_012_Circle Properties: Angle Properties (8)
edexcel_igcse_mathematics a_topic 30_circle properties_013_Circle Properties: Angle Properties (9)
edexcel_igcse_mathematics a_topic 30_circle properties_014_.Circle Properties: Angle Properties (10)
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Next
1. Numbers & the Number System

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and Roots

1.5 Set Language and Notation

1.6 Percentages

1.7 Ratio and Proportion

1.8 Degree of Accuracy

1.9 Standard Form

1.10 Applying Numbers

1.11 Electronic Calculator

2. Equations, Formulae & Identities

2.1 Use of Symbols

2.2 Algebraic Manipulation

2.3 Expressions and Formulae

2.4 Linear Equations

2.5 Proportion (Higher Tier Only)

2.6 Simultaneous Linear Equations

2.7 Quadratic Equations

2.8 Inequalities

3. Sequences, Functions & Graphs

3.1 Sequences

3.2 Function Notation (Higher Tier Only)

3.3 Graphs

3.4 Calculus (Higher Tier Only)

4. Geometry

4.1 Angles, Lines & Triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

4.6 Circle Properties

4.7 Geometric Reasoning

4.8 Trigonometry and Pythagoras’ Theorem

4.9 Mensuration of 2D Shapes

4.10 3D Shapes and Volumes

4.11 Similarity

5. Vectors & Transformation Geometry

5.1 Vectors (Higher Tier Only)

5.2 Transformation Geometry

6. Statistics & Probability

6.1 Graphical Representation of Data

6.2 Statistical Measures

6.3 Probability

7. Appendix

7.1 Appendix 1: Foundation Tier Formula Sheet (Given)

7.2 Appendix 2: Foundation Tier Formula Sheet (To Memorise)

7.3 Appendix 3: Higher Tier Formula Sheet (Given)

7.4 Appendix 4: Higher Tier Formula Sheet (To Memorise)

7.5 Appendix 5: Notation

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