CBSE Class 10 Maths Chapter 11 – Areas Related to Circles (2026–27)
Master Chapter 11 – Areas Related to Circles with comprehensive study notes, NCERT solutions, exercise-wise solutions, MCQs, important questions, PDF downloads, and video lessons based on the latest CBSE Class 10 Mathematics (2026–27) syllabus. Learn how to calculate the area of sectors, segments of plane figures using simple explanations, solved examples, and step-by-step NCERT solutions.
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Chapter Summary
Areas Related to Circles helps students understand how to calculate the areas of sectors, segments, and composite figures involving circles. The chapter explains the difference between a sector and a segment, introduces formulas for their areas, and demonstrates how to solve practical geometry problems by combining multiple shapes.
By practicing NCERT exercises, solved examples, MCQs, and important questions, students develop strong problem-solving skills and improve their understanding of mensuration concepts for the CBSE board examination.
Learning Outcomes
After completing this chapter, students will be able to:
- ✅ Understand the concepts of sectors and segments.
- ✅ Differentiate between major and minor sectors.
- ✅ Calculate the area of a sector.
- ✅ Find the area of a segment.
- ✅ Apply circle area formulas accurately.
- ✅ Solve NCERT and board-level questions confidently.
- ✅ Prepare effectively for the CBSE board examination.
Key Topics
- ⭕ Area of a Circle
- 🥧 Area of a Sector
- 🌙 Area of a Segment
- 📐 Major and Minor Sectors
- 📏 Major and Minor Segments
⭐ Study Resources
📝 Exercise Solutions
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📄 Study Notes
Comprehensive notes with explanations, solved examples, and important concepts.
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Formula Sheet
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📘 NCERT Solutions
Step-by-step solutions for every NCERT textbook exercise with clear explanations.
📘 Exemplar Solutions
Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.
📑 Important Questions
Most expected board exam questions with detailed solutions and explanations.
❓ MCQs
Chapter-wise multiple-choice questions for concept reinforcement and quick revision.
🎥 Video Lessons
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📑 Competency Based Questions
Assertion & Reason and Case Study questions based on the latest CBSE pattern..
📄 PDF Notes
Additional practice questions to improve problem-solving skills and self-assessment.
📝Exercise-wise Solutions
📘 Exercise 11.1 – Areas Related to Circles
Exercise 11.1 covers the complete chapter on Areas Related to Circles. Students learn to calculate the areas of sectors, segments, and shaded regions using circle formulas and geometric reasoning. The exercise includes problems involving major and minor sectors, major and minor segments, and combinations of plane figures, helping students develop strong problem-solving skills through detailed NCERT solutions and step-by-step explanations.
This exercise prepares students to confidently solve both NCERT textbook questions and CBSE board examination problems related to circles and mensuration.
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❓ Frequently Asked Questions
1. What are areas related to circles?
This chapter explains how to calculate the areas of sectors, segments, and composite figures involving circles.
2. How many exercises are there in Chapter 11?
Chapter 11 contains 2 exercises:
- 📘 Exercise 11.1 – Areas of Sectors and Segments
- 📘 Exercise 11.2 – Applications of Areas Related to Circles
3. What is a sector of a circle?
A sector is the region enclosed by two radii and the corresponding arc of a circle.
4. Are these notes based on the latest CBSE syllabus?
Yes. All study notes, solutions, and learning resources are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus.
5. Are NCERT exercise solutions available?
Yes. Step-by-step solutions for Exercise 2.1 and Exercise 2.2 are available with detailed explanations.
6. Can I download the Chapter 11 notes as a PDF?
Yes. Free PDF notes and other downloadable study resources are available on this page.
7. Are MCQs and important questions included?
Yes. This chapter includes chapter-wise MCQs, important questions, and additional practice material for exam preparation.
8.Why is Chapter 11 important for the CBSE board examination?
Chapter 11 is a high-scoring mensuration chapter that develops analytical and calculation skills. Questions involving sectors, segments, and shaded regions are frequently asked in the CBSE board examination.
9. Are video lessons available for this chapter?
Yes. Video lessons are provided to help students understand each concept with clear explanations and solved examples.
10. Who can use these study resources?
These resources are suitable for CBSE Class 10 students, teachers, and parents looking for reliable notes, NCERT solutions, MCQs, PDFs, and revision material.
11. What is a segment of a circle?
A segment is the region enclosed by a chord and its corresponding arc.
12. What is the difference between a sector and a segment?
A sector is formed by two radii and an arc, whereas a segment is formed by a chord and an arc.
13. What types of questions are asked from this chapter?
This chapter includes questions on:
- ⭕ Areas of sectors
- 🌙 Areas of segments
- 📐 Major and minor sectors
- 📏 Major and minor segments
- 🔷 Areas of shaded and composite figures
- 📝 NCERT and board examination problems
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🚀Continue Learning
Keep building your mathematics skills by exploring the next chapter in the CBSE Class 10 Mathematics syllabus.
📖 Chapter 10 – Circles
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📖 Chapter 12 – Surface Areas and Volumes
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