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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

Serial order wise

  Ex 9.1
  Ex 9.2
  Ex 9.3
  Examples
  Theorems
  Circle - Basic Definitions
  Circle passing through 3 points
  Important Questions on Circles

Concept wise

  Terms and definations
  Angle subtended by chord at a point
  Circle through 3 points
  Equal chords and their distance from centre
  Angle subtended by arc at the centre
  Cyclic quadrilaterals

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