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Circles Class 10 Chapter 10 Math NCERT Solutions, Download PDF

Get detailed Circles Class 10 NCERT Solutions for Chapter 10 to master all properties and theorems of circles. These step-by-step solutions cover exercises 10.1 and 10.2, helping students practise proofs, solve numerical problems accurately, and boost exam preparation effectively.
authorImageNeha Tanna24 Nov, 2025
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Circles Class 10 Chapter 10 Math NCERT Solutions: NCERT Solutions for Class 10 Maths Chapter 10 Circles provide detailed step-by-step solutions to all the questions in the NCERT textbook.

These solutions help students understand important concepts like tangents, chords, angles in a circle, and properties of circles. Using the circles class 10 NCERT Solution ensures accurate learning, better practice, and improved exam readiness.

These study materials are especially useful for Class 10 students preparing for CBSE board exams. Every exercise is explained clearly, helping students tackle questions efficiently. 

Chapter Concept Highlights Circles Class 10 Chapter 10, Solutions 

Class 10 Maths Chapter 10 focuses on understanding the important properties and theorems related to circles. Key topics include tangent properties, angles subtended by chords and arcs, cyclic quadrilaterals, and the length of tangents from an external point.

Using the circles class 10 solutions, students can practise both proofs and numerical problems step by step, which strengthens their conceptual understanding, enhances problem-solving skills, and builds confidence for exams.

Circles Class 10 NCERT Solutions Chapter 10 Exercise-wise Links

Class 10 Maths Chapter 10 contains multiple exercises designed to gradually increase difficulty and cover all types of questions. Practising each exercise with the circles class 10 NCERT solutions ensures clarity and accuracy.

Circles Class 10 NCERT Solutions Chapter 10 Exercise-wise Links

Circles Class 10 Exercise 10.1

Circles Class 10 Exercise 10.2

How to Solve Circles class 10 Maths Chapter 10

Practising regularly with the circles class 10 NCERT solutions helps strengthen understanding and boost confidence. It ensures accuracy and improves speed for board exam preparation.

  • Start with understanding the fundamental properties of circles and tangents.

  • Practice Class 10 circles exercise 10.1 first, focusing on simple proofs and tangent properties.

  • Move to Class 10 circles exercise 10.2 for more complex problems involving cyclic quadrilaterals and chord properties.

  • Use the circles class 10 NCERT solutions for step-by-step guidance and to verify your answers.

  • Draw diagrams wherever necessary to visualise chords, tangents, and angles, which makes problem-solving easier.

Importance of Circles class 10 Maths Chapter 10 

Learning circles are crucial because:

  • Builds problem-solving skills: Understand tangents, angles, and cyclic quadrilaterals for solving numerical and proof-based questions.

  • Applies in real-life contexts: Knowledge of circles is used in design, engineering, and geometry applications.

  • Boosts exam performance: Practising exercises with the circles class 10 solutions improves accuracy, speed, and confidence.

  • Foundation for higher studies: Circle theorems are essential for Class 11 & 12 Maths, especially in coordinate geometry and geometry-based problems.

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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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