## Class 9 Maths Revision Notes for Circles of Chapter 9 - Free PDF Download

Circles Class 9 Notes CBSE Maths Chapter 9 (Free PDF Download)

## FAQs on Circles Class 9 Notes CBSE Maths Chapter 9 (Free PDF Download)

**1. What is a Cyclic Quadrilateral and What is the Theorem Associated with it?**

When all the quadrilateral vertices lie on a circle, they are defined as a cyclic quadrilateral.

According to the theorem, any pair of the opposite angles in a cyclic quadrilateral will have the sum of 180°.

The reverse of this theorem states that if the opposite angles in a quadrilateral have a sum of 180°, then the quadrilateral is cyclic.

**2. What Happens When the Angles are Subtended From the Common Chord?**

The angles subtended from the common chord and which lie on the same segment are always equal.

**3. What Happens When an Angle is Subtended at the Centre and Another Angle is Subtended by the Same Arc on Another Point?**

According to a theorem, an angle subtended by the arc at the centre is twice the angle that is subtended by the same arc on any other point of the circle.

**4. How are NCERT Solutions for Class 9 Maths Chapter 9 helpful for students?**

One of the best Solutions out there is provided by Vedantu and their Solutions for chapter 9 of Class 9 Maths helps students in a thorough understanding of the chapter through an in-depth explanation of concepts in short, precise and simple expert-created answers. The circle is a chapter that requires proper comprehension and forms a base during Class 9 for future classes. Therefore, the student must go through all the solutions available free of cost to ensure they do well.

**5. Why should we follow NCERT Solutions for Class 9 Maths Chapter 9?**

NCERT Solutions offer many benefits to students. These Solutions help students use their time in a meticulous manner by offering them factual analysis and thorough explanation on the concepts mentioned in Chapter 9 Of Class 9 Mathematics in an accurate and short display of information. The structure of the language used is easy to follow, thereby allowing students to easily grasp the concepts. Students can download these Solutions from the vedantu website (vedantu.com) or the vedantu app, and be rest assured with their exams.

**6. What does chapter 9 of class 9 Maths cover?**

In class 9, students learn Circles in chapter 9 of the NCERT textbook. Revision Notes are good references to learn and revise about the different concepts taught in the chapter like

Circles

Angle Subtended by a chord

Equal Chords with distances from the centre

Angle Subtended by an arc

Cyclic quadrilaterals

The chapter also covers some major and important theorems that students need to memorize and then apply for solving problems of circles, quadrilaterals, triangles, etc. from the chapter.

**7. What are the important theorems in chapter 9 of class 9 Maths?**

Chapter 9 of Circles for class 9 Maths has some major theorems that students need to thoroughly learn and memorize to solve all the questions thoroughly. There are 5 major theorems and their converses and the following points are an attempt at stating the theorems in brief:

Equal chords subtending angles at the centre

Perpendicular to a chord

Equal chords are equidistant from the centre

The measure of angles subtended by the same arc

Opposite angles are supplementary in quadrilaterals

**8. What are the benefits of using revision notes for learning the chapter of circles in Class 9?**

Revision notes are very beneficial once students learn how these notes help them with their exam preparations. For chapter 9 of class 9 Maths, which deals with circles, their concepts, and various theorems, things can get very complicated and confusing for the students. The notes offered by Vedantu For Class 9 Maths are one of the best because they provide detailed, but short notes which simplify all these complicated concepts, thereby providing students with an easy learning experience and last-minute help. Also these revision notes are available free of cost to download.