# NCERT Solutions Class 10 Maths Chapter 10 Circles

NCERT Solutions for Class 10 Maths Chapter 10 Circles is majorly focused on giving students a deep-seated understanding of tangents and their properties. A circle can be defined as a closed plane geometric shape where the locus of a point moves around a fixed point at a fixed gap such that the outline is equidistant from the center point. The chapter starts by elaborating on the position of a line with respect to a circle and how they are related. This line can be non-intersecting, meet the circle at two points meaning that it lies within the circle (secant), and touch the circle at one point only (tangent). We can also say that the tangent to a circle is a special case of the secant when the two endpoints of its corresponding chord coincide. This lesson consists of a host of theorems that make solving questions easier. Additionally, kids have the opportunity to learn about various terminologies associated with a tangent. As circles form an integral part of geometry, therefore, kids must go through the NCERT solutions class 10 Maths Chapter 10 with care and laser concentration.

This lesson is of great importance as the underlying concepts are used in several sister topics such as areas related to circles, constructions, and coordinate geometry. The Class 10 Maths NCERT Solutions Chapter 10 provides a wide variety of problem sums that can challenge a kid’s understanding eventually instilling ironclad concepts within him. With the help of this article, we will do a detailed analysis of NCERT Solutions Chapter 10 Circles and also you can find some of these in the exercises given below.

## NCERT Solutions for Class 10 Maths Chapter 10 PDF

NCERT solutions Class 10 maths chapter 10 circles make use of various activities to teach children new concepts. It provides fun ways to get a practical demonstration of the crux of the topic. For example, to draw water from a well a pulley is required with a rope on it. Here this rope, if considered as a ray, is like a tangent to the circle representing the pulley. Thus, using real-life examples these solutions help students explore concepts in an elaborate manner. The free PDF of NCERT Solutions Class 10 Maths Chapter 10 circles is given below.

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

**NCERT Class 10 Maths Chapter 10 **

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

Chapter 10 helps students understand the concepts related to Circles and their properties. This chapter is an important section of geometry and questions related to it are asked not just in board exams but also competitive exams. With the help of these solutions, students can learn the concept of tangents to a circle and discover the relationship between the radius as well as the tangent. As these concepts will make their way over and again throughout the next chapters it is highly recommended to periodically revise them. Now, let us go through the detailed analysis of NCERT Solutions Class 10 Maths Chapter 10 Circles

- Class 10 Maths Chapter 10 Exercise 10.1 - 4 questions
- Class 10 Maths Chapter 10 Exercise 10.2 - 13 questions

ā Download Class 10 Maths Chapter 10 NCERT Book

**Topics Covered: **Class 10 Maths NCERT Solutions Chapter 10 Circles cover a variety of topics such as tangents, length of tangents, normal to a circle, radius-tangent relationship, etc. Questions related to these topics are solved in a step-wise manner using the properties based on the aforementioned topics.

**Total Questions:** Class 10 Maths Chapter 10 Circles consists of a total of 17 sums, of which 10 are easy, 3 are moderately complex, and 4 are difficult problems.

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

NCERT solutions Class 10 Maths Chapter 10 covers key points that are important for exams. This chapter introduces students to some new terms like the point of contact, length of tangent, and tangent to a circle. In order to solve questions related to this exercise, we need to use some formulas from the previous classes. In addition to this, there are many theorems that are equally important. To get a holistic understanding of this lesson children must combine the topics learned in earlier classes with the newer subject matter. These theorems and formulas can be seen as tools to simplify a complicated question. Let us do a quick overview of the formulas which are frequently used in NCERT Solutions Class 10 Maths Chapter 10:

- Area of circle = πr
^{2} - Circumference of a circle= 2πr
- Arc length of the sector of angle A= (A/360) * 2πr
- There is only one tangent at a point of the circle.
- The common point of the tangent and the circle is called the point of contact.
- The line containing the radius through the point of contact is also sometimes called the ‘normal’ to the circle at the point

## FAQs on NCERT Solutions Class 10 Maths Chapter 10

### Why are NCERT Solutions Class 10 Maths Chapter 10 Important?

NCERT Solutions for Class 10 Maths Chapter 10 help students understand the basics of geometry. Kids can use this chapter to explore simple and advanced concepts of a circle. Moreover, students can also revise topics from the previous classes. Thus, these solutions are important as it helps children lay a strong foundation for higher classes. Additionally, it also shows kids how to present their solutions in an examination to get excellent marks.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 10 Maths Circles?

All questions in NCERT Solutions Class 10 Maths Circles are based on important concepts that give a 360 degree view of the lesson. As the problems can prove to be complex, practicing all the sums along with the examples can help students master the topic of circles and understand the application of various formulas. Since the sums are proof-based, kids must also revise the theorems and practice questions twice.

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

All topics in the NCERT Solutions Class 10 Maths Chapter 10 Circles are equally important. Thus, it is advised to give an ample amount of time to all the sections. Learning the theorems and understanding their proofs is also essential to attempt the problems. There are two theorems in this lesson on which all the sums are based as well as certain inferences have been drawn that form the pillars of Circles.

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

The total number of questions in NCERT Solutions Class 10 Maths Chapter 10 Circles is 17 that have been divided among 2 exercises. These sums are curated in different formats in order to make learning engaging and interesting. Some of these problems are super easy, while others require a little brainstorming and revision.

### What are the important formulas in Class 10 Maths NCERT Chapter 10 Circles?

NCERT Solutions Class 10 Maths Chapter 10 is more driven towards theorems rather than formulas. Thus, kids need to focus on understanding these theories and also review certain concepts from previous classes. Some of the complicated sums make use of the properties of other polygons. One needs to solve a variety of questions based on these in order to develop a rock-solid foundation.

### How can CBSE Students utilize NCERT Solutions Class 10 Maths Chapter 10 effectively?

In order to utilize the NCERT Solutions Class 10 Maths Chapter 10, students need to solve each and every question from both the exercises. In case they get stuck in any of these problems, they can refer to the formulas and theory. Kids often tend to ignore the ‘solved examples’ of the chapter, but attempting these gives them an added value. Additionally, it is important to first get well-versed with the theory before moving further.