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# Chapter 9 Class 9 Circles

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Updated new NCERT Book - 2023-24.

In Chapter 9 Class 9 of NCERT, Circles, Theorems are extremely important, we have provided detailed explanation of the theorems of circles as well as NCERT Solutions of all questions and examples.

In this chapter, we will learn

• The basics - What is a circle, radius, diameter, arc, sector, segment, chord
• Then, we do some theorems, and related questions... like
• Equal chords subtends equal angle at the center, and its converse
• Perpendicular from center to a chord bisects the chord, and its converse
• Only 1 Circle can pass through 3 non-collinear points
• Equal chords subtend equal angles at the center, and its converse
• Angle subtended by an arc is double the angle subteneded at any other point
• Angles in the same segment of a circle are equal
• Then, we will learn what a Cyclic Quadrilateral is,
• And its property - Sum of opposite angles of cyclic quadrilateral is 180

In addition to this, we have solved all the NCERT questions of this chapter, including Extra questions (Ex 10.6 - Optional Exercise)

Click on a link below to start doing the chapter

## Concept wise

What's in it?

Updated new NCERT Book - 2023-24.

In Chapter 9 Class 9 of NCERT, Circles, Theorems are extremely important, we have provided detailed explanation of the theorems of circles as well as NCERT Solutions of all questions and examples.

In this chapter, we will learn

• The basics - What is a circle, radius, diameter, arc, sector, segment, chord
• Then, we do some theorems, and related questions... like
• Equal chords subtends equal angle at the center, and its converse
• Perpendicular from center to a chord bisects the chord, and its converse
• Only 1 Circle can pass through 3 non-collinear points
• Equal chords subtend equal angles at the center, and its converse
• Angle subtended by an arc is double the angle subteneded at any other point
• Angles in the same segment of a circle are equal
• Then, we will learn what a Cyclic Quadrilateral is,
• And its property - Sum of opposite angles of cyclic quadrilateral is 180

In addition to this, we have solved all the NCERT questions of this chapter, including Extra questions (Ex 10.6 - Optional Exercise)

Click on a link below to start doing the chapter