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Circles NCERT Extra Questions for Class 9 Maths Chapter 10

Circles NCERT Extra Questions for Class 9 Maths Chapter 10 are your perfect study guide for exam preparation. Chapter 10 Circles is an important chapter in Class 9 where you start with learning the basics of a circle like its definition, radius, diameter, arc, segment, major segment, minor segment, and much more. The advanced topics included in this chapter include angles subtended by a chord at a point, perpendicular from the centre of a circle to the chord of a circle and some important theorems. 

Students must pay attention to every NCERT exercise of this chapter as each one introduces a new topic to them. Our Maths experts have created these Class 9 Maths NCERT extra questions and solutions for Circles to help students solidify their concepts regarding circles and prepare well for their final exam. The extra questions can be downloaded from our website and can be accessed at any time at your convenience. They are self-explanatory and include stepwise solutions for every question of this chapter. 

About NCERT Extra Questions for Class 9 Maths Chapter 10 Circles

If you want to utilise our NCERT extra questions properly and prepare well for your Maths exam, you must first understand the basic concepts of this chapter. Here are some tips on how you can master Chapter 10 Circles easily:

  • Start with reading our revision notes for Class 9 Chapter 10 Circles. 
  • Practice the solved examples of the chapter and understand how different questions are solved. 
  • Practice the NCERT exercises of the chapter. In case you get stuck in any questions, refer to our free NCERT Solutions for Class 9 Maths. 
  • Download the NCERT extra questions for Circles and practice them. 

Important points related to NCERT Class 9 Maths Chapter 10 Circles:

  • Definition: A circle is a collection of points on a plane that are equidistant from one fixed point. 
  • A circle divides the plane on which it lies into three parts: (i) inside the circle, which is also called the interior of the circle or circular region (ii) the circle and (iii) outside the circle, which is also called the exterior of the circle. 
  • The chord, which passes through the centre of the circle, is called the diameter of the circle.
  • The length of the complete circle is called its circumference. 
  • The region between a chord and either of the arcs of a circle is called a segment of the circular region or simply a segment of the circle.

Theorems related to NCERT Class 9 Maths Chapter 10 Circles:

  • Equal chords of a circle subtend equal angles at the centre.
  • If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
  • The perpendicular from the centre of a circle to a chord bisects the chord.
  • The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
  • There is one and only one circle passing through three given non-collinear points.
  • Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres).
  • Chords equidistant from the centre of a circle are equal in length.
  • The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle
  • Angles in the same segment of a circle are equal.
  • If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle (i.e. they are concyclic).
  • The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
  • If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.

Download NCERT Extra Questions for Class 9 Maths Chapter 10 Circles

Learn how to apply the different theorems and concepts related to circles and achieve full marks in the exam. This chapter is quite difficult to understand and master for the first time. It requires practice and constant guidance. Therefore, our NCERT extra questions are the best solution for you. 

Here’s why you must download our NCERT extra questions for Class 9 Maths Chapter 10 Circles:

  • You can master every theorem of this chapter thoroughly by practising different questions based on the NCERT exercises. 
  • We have included both long answer and short answer type questions in our NCERT extra questions set. 
  • The extra questions are available in a PDF that can be easily downloaded from the askIITians website. 
  • There is no need to look for extra practice material. Our Circles NCERT extra questions for Class 9 Maths Chapter 10 are enough. 
  • All the extra questions contain a corresponding solution that is solved step by step and includes a proper explanation. 
  • We have based our NCERT extra questions on the latest CBSE syllabus and exam pattern. 

Take your exam preparation to the next level and be easy to face any kind of question. Download our NCERT Extra Questions for Circles today! 

NCERT Extra Questions for Class 9 Maths Chapter 10 Circles FAQs

  1. How many exercises are there in Class 9 Maths NCERT Chapter 10 Circles? 

Chapter 10 Circles of NCERT Class 9 Maths includes 6 exercises. Exercise 10.1 and 10.2 include 2 questions each. Exercise 10.3 includes 3 questions. Exercise 10.4 includes 6 questions. Exercise 10.5 includes 12 questions and exercise 10.6 includes 10 questions. 

  1. How can askIITians help me prepare the Circles Chapter in Class 9?

askIITians provides a plethora of learning resources for Class 9 Maths Chapter 10 Circles including sample papers, previous year questions, NCERT solutions, extra questions, revision notes, flashcards and more. Our live, interactive classes are available at your convenience where you can learn from our Maths experts directly. 

  1. Where can I find NCERT Solutions for Class 9 Maths Chapter 10 Circles? 

You can download the NCERT Solutions for Class 9 Maths Chapter 10 Circles for free from the askIITians website. These NCERT solutions are created by our Maths experts. They contain comprehensive explanations and help in concept building. 


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