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Class 10 Maths Chapter 10 Circles NCERT Solutions

Class 10 Maths Chapter 10 explains the properties of tangents to a circle, including their perpendicular relationship with the radius at the point of contact and the equality of tangents drawn from an external point, helping you understand and apply these concepts in geometry problems effectively.
authorImageNeha Tanna5 May, 2026
NCERT Solutions
Notes
PYQ
Important Questions
Sample Paper

NCERT Solutions for Class 10 Maths Chapter 10, Circles, are designed to help you understand the important properties related to tangents and their relationship with circles, as prescribed in the  CBSE Class 10 Maths syllabus.

This chapter focuses on geometric reasoning and introduces key theorems that explain how tangents behave when drawn to a circle.

The solutions include step-by-step explanations which will help you to follow proofs, apply theorems correctly, and solve geometry-based questions with confidence.

Chapter 10 Circles Overview 

Chapter 10 Circles explores the concept of tangents to a circle and how they interact with the radius at the point of contact. You learn that a tangent drawn at any point on a circle is perpendicular to the radius at that point. Another important result covered is that tangents drawn from an external point to a circle are equal in length. 

Chapter 10 Circles focuses on understanding these properties through logical reasoning and applying them to solve different types of problems. By working through these ideas, you develop better clarity in geometry and improve your  ability to handle proof-based questions.

Chapter 10 Circles Exercise Solutions

Practising all questions is essential to understand the application of theorems and improve accuracy. These solutions are structured to help you follow each step clearly.

Chapter 10 Circles Exercise Solutions

Circles Class 10 Exercise 10.1

Circles Class 10 Exercise 10.2

How to Prepare Class 10 Chapter 10 Circles Using NCERT Solutions?

A clear understanding of theorems and their application is important for Chapter 10 Circles:

  • Start with concepts: Study tangent properties from the  Class 10 Maths syllabus.

  • Focus on theorems: Understand why tangents are perpendicular to the radius.

  • Practise diagrams: Draw accurate figures to visualise problems better.

  • Use MCQs for revision: Attempt MCQs for Class 10 Maths Chapter 10.

  • Solve PYQs: Practise class 10 Maths previous year questions (PYQs) to understand important questions.

  • Revise regularly: Go through key results and properties to strengthen concepts.

Explore More Chapters-

NCERT Solutions for Class 10 Maths Chapter 10 FAQs

What are the properties of a circle?

A circle is a set of all points equidistant from a fixed point (center). Practising circles class 10 exercises helps understand its properties clearly.

What is a tangent to a circle?

A line that touches a circle at exactly one point. Circles class 10 NCERT solutions explain tangents and their properties.

How do I calculate lengths of tangents?

The length from an external point to a point of contact is calculated using the tangent formula. Use circle class 10 exercise 10.2 solutions for examples.

How are angles in a circle determined?

Angles subtended by chords or arcs follow specific theorems like the angle in a semicircle is 90°. Circles class 10 solutions provide step-by-step proofs.
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