# NCERT Solutions Class 9 Maths Chapter 10 Circles

NCERT Solutions for Class 9 Maths Chapter 10 Circles where the circle is one of the most basic geometric shapes formed by tracing a point on a plane equidistant from another point called the center of the circle. This boundary is known as the circumference of the circle. The line joining the center of the circle to any point on its circumference is known as its radius. The area enclosed in the arc of the circle is called the area of a circle. These symmetric properties of circles are significant for geometry studies in both class 9 and class 10. Thus, attaining a deep understanding of this topic is crucial for students. NCERT Solutions Class 9 Maths Chapter 10 efficiently promotes the knowledge of circles and their properties through practical examples and sample questions.

The topics covered in the class 9 maths NCERT solutions chapter 10 Circles form the basis for studying many advanced topics. With the thorough practice of all the questions available in these solutions, students will explore the terms related to the circles like radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle, etc. Learning the core basics of this topic will also enable the students to apply their knowledge in real-world situations. To study such concepts download the pdf files in the links below and also find some of these in the exercises given below.

- NCERT Solutions Class 9 Maths Chapter 10 Ex 10.1
- NCERT Solutions Class 9 Maths Chapter 10 Ex 10.2
- NCERT Solutions Class 9 Maths Chapter 10 Ex 10.3
- NCERT Solutions Class 9 Maths Chapter 10 Ex 10.4
- NCERT Solutions Class 9 Maths Chapter 10 Ex 10.5
- NCERT Solutions Class 9 Maths Chapter 10 Ex 10.6

## NCERT Solutions for Class 9 Maths Chapter 10 PDF

NCERT solutions maths for class 9 chapter 10 are designed by experts to develop analytical thinking in students. The questions composed in these exercises proficiently deliver the understanding of all aspects regarding circles. To prepare these exercises, click on the links of the pdf files given below.

**ā** Download Class 9 Maths NCERT Solutions Chapter 10 Circles

**NCERT Class 9 Maths Chapter 10 **

### NCERT Solutions for Class 9 Maths Chapter 10 Circles

The circle is an important chapter in class 9 maths that holds a weightage of around 15 marks in the final exams. Therefore, students should gain a good knowledge of each topic included in this chapter. NCERT solutions Class 9 Maths Chapter 10 Circles are designed by experts to help students prepare well for the final exam. Structured in accordance with the NCERT syllabus and guidelines directed by CBSE, these solutions are an amazing way to make learning easy for students. The well-organized format of these solutions is competent to provide comprehensive knowledge of all concepts with examples and sample problems. To learn and practice with NCERT Solutions Class 9 Maths circles, try the chapter-wise exercises given below.

- Class 9 Maths Chapter 10 Ex 10.1 - 2 Questions
- Class 9 Maths Chapter 10 Ex 10.2 - 2 Questions
- Class 9 Maths Chapter 10 Ex 10.3 - 3 Questions
- Class 9 Maths Chapter 10 Ex 10.4 - 6 Questions
- Class 9 Maths Chapter 10 Ex 10.5 - 12 Questions
- Class 9 Maths Chapter 10 Ex 10.6 - 10 Questions (Optional)

**Topics Covered:** The main topics covered in class 9 maths NCERT solutions chapter 10 are the introduction to circles, related terms, the angle subtended by a chord at a point, equal chords and their respective distances from the center, the angle subtended by an arc of a circle, and cyclic quadrilaterals.

**Total Questions:** Class 9 Maths Chapter 10 Circles has 35 questions out of which 33 are long answers type, and 2 are short answers type. These questions are based on the twelve theorems which students need to have a clearer understanding of. The questions are mostly based on proving statements, calculating the lengths of chords and degrees of angles.

## List of Formulas in NCERT Solutions Class 9 Maths Chapter 10

Memorizing formulas and reinforcing important concepts through practice is the best way to achieve math success. NCERT solutions class 9 maths chapter 10 covers all the necessary formulas and concepts explained with examples for students to gain an in-depth understanding of each topic. Some important formulas covered in these solutions are given below:

- The distance around the circle is called its circumference.
- The formula to calculate the area of a circle is A = π r², where ‘r’ is the radius and the value of π is 3.14.
- The radius of a circle is half the length of its diameter, i.e., d = 2r.
- There is one and only one circle passing through three non-collinear points.
- Perpendiculars drawn from the center of a circle can bisect each other.
- Equal chords of a circle are equidistant from the center.
- Angles in the same segment of a circle are equal.
- The sum of either pair of opposite angles of a cyclic quadrilateral is 180 degrees.
- If the sum of a pair of opposite angles of a quadrilateral is 180 degrees, the quadrilateral is cyclic.

## FAQs on NCERT Solutions Class 9 Maths Chapter 10

### What is the Importance of NCERT Solutions for Class 9 Maths Chapter 10 Circles?

NCERT Solutions Class 9 Maths are trustworthy resources designed as per the CBSE guidelines to promote efficient maths learning in students. With the thorough practice of these solutions, students can quickly attain the right problem-solving approach for math studies. The practical examples and sample questions readily available in these solutions make it quite simple to grasp all the complex concepts with ease.

### What are the Important Topics Covered in NCERT Solutions Class 9 Maths Chapter 10?

NCERT Solutions Class 9 Maths Chapter 10 Circles covers a brief introduction to the Circles, related terms, the angle subtended by a chord at a point, equal chords, and their respective distances from the center. The other topics included in this chapter are the angle subtended by an arc of a circle and cyclic quadrilaterals.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 9 Maths Circles?

NCERT Solutions Class 9 Maths Chapter 10 includes all the theorems, formulas, questions, important notes, and examples to impart the stepwise knowledge of all topics covered under this chapter. Such type of learning will benefit the students to gain confidence and a positive mindset to face the exams. Thus, the problems must be practiced regularly.

### How Many Questions are there in Class 9 Maths NCERT Solutions Chapter 10 Circles?

NCERT Class 9 Maths Chapter 10 Circles has a total of 35 questions in 6 exercises that adequately cover all the theorems, terms, and formulas related to circles and their properties. The problems in these exercises are compiled as per the CBSE syllabus that offers clear and precise learning of all the topics for great preparation.

### What are the Important Formulas in NCERT Solutions Class 9 Maths Chapter 10?

The important formulas and concepts covered in the NCERT Solutions Class 9 Maths Chapter 10 are based on the Circles and their properties. These solutions are carefully structured with sample problems and exercises formulated to impart a clear knowledge of all these concepts in an interesting way. By thoroughly revising each topic with the help of these solutions, students will attain the problem-solving skills required for math success.

### Why Should I Practice NCERT Solutions Class 9 Maths Circles chapter 10?

NCERT solutions are well-structured resources framed by math experts to provide a complete understanding of topics covered in the CBSE class 9 maths chapter 10. Practicing efficiently with these solutions ensures positive results in maths exams. These solutions also encourage the students to build the right approach for math learning that is highly beneficial for academics.