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Chapter 10 Class 9 Circles

In Chapter 10 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 10.1
  Ex 10.2
  Ex 10.3
  Ex 10.4
  Ex 10.5
  Examples
  Theorems
  Ex 10.6 (Optional)

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?

In Chapter 10 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