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### Theory

 1 Introduction to circle 2 Circle through three points 3 Theorem on circle passing through three points 4 Theorems on angle subtended by the chord at the centre 5 Theorems on perpendicular from the centre to a chord 6 Theorems on equal chords 7 Theorems on angle at the centre and the circumference 8 Theorems on angles at the circumference on the same segment 9 Special cases of angle at the centre and the circumference 10 Theorem on interior angles of a cyclic quadrilaterals

### Exercises

 1 Knowing the parts Difficulty: easy 3 2 Choose the correct answer Difficulty: easy 2 3 Find the angle Difficulty: easy 1 4 Find the measure of 'b' Difficulty: easy 1 5 Find the required angle Difficulty: medium 3 6 Find the degree measure of 'x' Difficulty: medium 2 7 Find the subtended angle Difficulty: medium 2 8 Find the distance Difficulty: medium 1 9 Find the area of the shaded region Difficulty: medium 4 10 Find the angle from the figure Difficulty: medium 1 11 Find the unknown angle 'y' Difficulty: medium 2 12 Find the distance between the chords Difficulty: hard 2 13 Find the chord length Difficulty: hard 4 14 Prove the problem Difficulty: hard 4 15 Explore the unknown angles Difficulty: hard 4

### Tests

 1 Training test Difficulty: medium 10

### Teacher manual

 1 Methodical recommendation