# RS Aggarwal Class 9 Chapter 12 Solutions (Circles)

RS Aggarwal Class 9 Maths Solutions Chapter 12 is an immensely helpful reference book for you to revise all the concepts of ‘Circles’. Chapter 12 Circles gives you all the details regarding this geometrical figure. RS Aggarwal Class 9 Maths Solutions Chapter 12 consists of topics like major segment, minor segment, major arc, minor arc, the angle subtended by a chord at a point, congruence of Circles, perpendicular from the centre to the chord, and so on. RS Aggarwal chapter 12 Circles have 3 exercises in total. Exercise 12 A, 12 B, and 12 C has 23, 18, and 26 questions, respectively. All these questions cover all the major concepts of the chapter.

The RS Aggarwal problems of Chapter 12 Circles can be quite tricky. If you come across some doubts, you can refer to the RS Aggarwal Class 9 Maths Solutions Chapter 12. Practising the questions from this reference book will definitely enable you to achieve the best marks in the examination.

RS Aggarwal Class 9 Maths Solutions Chapter 12 is designed in such a manner that it will help you solve the RS Aggarwal problems with ease. Revising the chapter from this book will enable you to practice the questions all the more effectively. Maths require continuous practice. So after completion of the NCERT textbook, when you revise your chapter 12 Circles from RS Aggarwal Class 9 Maths Solutions Chapter 12, you acquire a better grip over the chapter. Instasolv’s RS Aggarwal Class 9 Maths Solutions Chapter 12 will be extremely helpful in case you come across some doubts or queries while solving the RS Aggarwal problems. Practising the questions and following the solutions can definitely help you score better marks than others.

## Important topics for RS Aggarwal Class 9 Maths Solutions Chapter 12: Circles

**Circumference: Circumference is the total length of the complete circle.**- Segment: The region which lies between a chord and both of its arcs is called a segment.\
- Major segment: When the region between a chord and the arcs covers the majority of the circle, it is called a major segment.
- Minor segment: When the region between a chord and the arcs cover a minor portion of the circle, we call it a minor segment.
- Sector: A sector is that region which lies between an arc and the two radii. The centre of the circle should be joined to the two endpoints of the radii.
- Minor sector: The region that lies between the minor arc and the two radii, with the centre of the circle joined to the endpoints of the radii, is called the minor sector.
- Major sector: The region that lies between the major arc and the two radii, with the centre of the circle joined to the endpoints of the radii, is called the major sector.
- Semi-circular region: When the arcs are equal, the sectors, too, become equal, and the region is known as the semi-circular region.
- The angle subtended by a chord at a point:
- 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 also equal.

- The perpendicular from the centre to the chord:
- The perpendicular from the centre of a circle to a chord bisects the chord.
- The line is drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

- Circles through three points:
- There is one and only one circle passing through three given noncollinear points.

- Equal chords and their distances from the centre:
- Equal chords of a circle or congruent Circles are equidistant from the centre or centres.
- Chords equidistant from the centre of a circle are equal in length.

- There are many more significant topics in RS Aggarwal Chapter 12 Circles. You need to go through them carefully to have a better understanding of the chapter.

### Exercise discussion for RS Aggarwal Class 9 Maths Solutions Chapter 12: Circles

- As mentioned earlier, RS Aggarwal Class 9 Maths Solutions Chapter 12: Circles has three exercises – 12 A, 12 B, and 12 C. These questions cover all the concepts related to Circles.
- The first exercise, 12 A, has 23 questions in total. Question number 1 to 8 explores the concept that perpendicular from the centre to the chord bisects the chord. Question 9 can be solved using congruency. Question no. 10 is also based on the theorem that the perpendicular from the centre of a circle to a chord bisects the chord. In question 11, you have to prove that two different Circles cannot intersect each other at more than two points. The rest of the questions, too, are based on different theorems of the chapter.
- Exercise 12 B has 18 questions. You have to find the measurement of different angles using the theorems related to the chapter.
- Exercise 12 C has questions, and these questions are based on the concept of a cyclic quadrilateral. You have to find the measurement of different angles in these questions.

### Benefits of RS Aggarwal Class 9 Maths Solutions Chapter 12: Circles

- Instasolv’s RS Aggarwal Solutions for Class 9 Maths Chapter 12: Circles is your ultimate supplementary book for revising the chapter 12 Circles.
- Our experts have prepared the solutions as per the guidelines of CBSE.
- The solutions are easy, straightforward, step by step, and comprehendible. The problems in RS Aggarwal can be quite overwhelming sometimes. Using the RS Aggarwal Class 9 Maths Solutions Chapter 12 will help you solve the questions with ease. You will not need the guidance of your teacher or tutor.
- Revising Chapter 12 Circles can definitely fetch you the highest marks in the examinations.