NCERT Solutions for Class 10 Maths Chapter 10 Circles - PDF Download

eSaral Academic and Editorial Team
NCERT solutions for class 10 maths chapter 10 Circles mainly focused on teaching students the fundamental concepts of tangents and tangent properties. A circle can be defined as a closed plane geometric shape if the locus of the point moves around a fixed point at a fixed gap such that the outline is equidistant from the center point. The chapter begins with a discussion of how a line relates to a circle and its position. There are a number of theorems in this chapter that make it easier to answer questions. Students also have the chance to learn about different terms related to a tangent. Since circles are a fundamental element of geometry, students need to carefully and laser focus on NCERT solutions of class 10 maths chapter 10.
NCERT solutions for class 10 maths chapter 10 Circles are prepared after extensive research by our maths experts at eSaral. Our mathematics experts have explained how to solve all the questions in detail. The NCERT solutions for chapter 10 are free to download. The questions are structured exercise-wise to make it easier for students to prepare and solve various types of questions. To achieve high scores, students are encouraged to use these NCERT Solutions in their preparation.
Important Topics covered in Chapter 10 - Circles
NCERT solutions for class 10 maths chapter 10 covers a variety of topics. You can go through these topics to understand the concepts of circles.
10.1 Introduction |
10.2 Tangent to a Circle |
10.3 Number of Tangents from a Point on a Circle |
10.1 Introduction - In previous class, you have studied various terms related to the circle like chord, segment, sector, arc etc. In this chapter you will learn the tangents to a circle and some of their properties.
Here, you will also learn the different situations like non-intersecting, secant, and tangent that can arise when a circle and a line are given in a plane.
10.2 Tangent to a Circle - In this section, You will get to know the tangent to a circle and its properties. The tangent to a circle is a special case of the secant, when the two end points of its corresponding chord coincide.
10.3 Number of Tangents from a Point on a Circle - Here, you will learn about the number of tangents from a point on a circle. Some theorems related to circles are also explained in this section.
Important Theorems Covered In NCERT solutions for Class 10 Maths Chapter 10 - Circles
10.1 The tangent at any point of a circle is perpendicular to the radius through the point of contact.
10.2 The lengths of tangents drawn from an external point to a circle are equal.
NCERT Solutions for Class 10 Maths Chapter 10 Exercises
NCERT Solutions for class 10 maths chapter 10 Circles consists of two exercises. Completing the sums provided in these exercises will help students in understanding the concept of circles, different theorems and application of the formula of Circles.
Exercise 10.1 | 4 Questions & Solutions |
Exercise 10.2 | 13 Questions & Solutions |
Benefits of Downloading The NCERT Solutions for Class 10 Maths Chapter 10 - Circles
NCERT solutions for class 10 maths chapter 10 Circles have many benefits for students, helping them to understand the complex concepts of this chapter.
- These NCERT solutions provide comprehensive step-by-step explanations for each question provided in exercises.
- NCERT solutions by eSaral offer proper solutions to theorems and concepts of circle.
- Students not only strengthen their conceptual comprehension by solving a variety of questions from chapter 10, but also become proficient in addressing various types of questions that might be included in the examinations.
- NCERT solutions help students achieve conceptual clarity by providing detailed explanations that allow students to understand the fundamentals.
This page focuses on one chapter — the NCERT solutions for class 10 Maths hub covers the complete syllabus if you need to jump elsewhere.
Frequently Asked Questions
Question 1. What are the main concepts covered in chapter 10 circles ?
Answer 1. NCERT solutions for class 10 maths chapter 10 covered the concept of Circles, the properties of Tangents to a Circle, and Calculation of the Number of Tangents from a Point on a Circle.
Question 2. How many theorems are included in NCERT solutions for class 10 maths chapter 10 Circles ?
Answer 2. There are two main theorems included in NCERT solutions for class 10 maths chapter 10 Circle. By understanding these theorems, you will be well prepared for exams.

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eSaral Academic and Editorial Team
Team eSaral is the collective author profile for educational content created by eSaral’s teachers and academic contributors. The team draws on expertise from IIT graduates, doctors, experienced educators and subject specialists to develop resources for JEE, NEET and school students. Our articles aim to explain concepts clearly and help students study with confidence.
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