Geometry of Circles and Construction of Incircle and Centroid

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

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

1.	Training test Difficulty: medium	6
2.	Training test Difficulty: hard	7

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Methodical recommendation

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