NCERT Updated Solutions for Class 10 Maths Chapter 11 Areas Related to Circles in English and Hindi Medium for CBSE 2024-25 Exams. NCERT Class 10 Math textbook Chapter 11 solution is prepared as per CBSE Mathematics books published for 2024-25. NCERT Class 10 Maths Chapter 11 Areas Related to Circles, is an important topic that provides foundational knowledge about calculating areas of different geometric shapes involving circles. NCERT Revised Solutions for Class 10 Mathematics Chapter 11 offer step-by-step guidance for solving complex problems, ensuring students understand the core concepts. These solutions include formulas and explanations for areas of sectors, segments and combined figures involving circles.

NCERT Exercises Solution for Class 10 Maths Chapter 11

Class 10th NCERT Math Book Chapter 11 Notes summarize key points and important questions, making them an essential study material for revision. Students can also practice with 10th Mathematics NCERT Chapter 11 Worksheets or refer to Previous Year Questions to gauge their preparation. With NCERT Updated Solutions available in PDF format, students can access resources anytime. This chapter also includes MCQ and Practice Problems to test understanding, ensuring comprehensive coverage of all exercise questions. Mastering this chapter is crucial for scoring well in CBSE exams.

NCERT Guide Solutions for Class 10 Mathematics Chapter 11 are a go-to resource for students who want to excel in Areas Related to Circles. NCERT 10th Math Book solutions provide clarity on tricky topics like calculating the area of a segment or finding the shaded region in composite figures. For better understanding, students can refer to Class 10 NCERT Maths Book Chapter 11 Study Material, including Video Lectures and Revision Notes. These resources simplify concepts and prepare students for CBSE 10th Mathematics Textbook Chapter 11 Sample Papers and Online Tests.

The availability of solutions in both Hindi and English caters to a broader range of students, making learning more accessible. The free download option for 10th Mathematics NCERT Book Chapter 11 Solutions ensures that students from all backgrounds can prepare effectively. Focusing on formulas and exercises from this chapter not only helps in CBSE board exams but also strengthens conceptual clarity for higher studies.

Important Points in Class 10 Maths Chapter 11 for Board Exams

Formulae: Area of a circle, sector and segment.
Key Concepts: Composite figures and shaded regions.
Problem-Solving: Applying formulas in real-life scenarios.
Practice Focus: Exercise questions, MCQ and previous year questions.
Exam Preparation: Revise notes, solve sample papers and practice diagrams.

Day Topics to Cover Resources Practice
Day 1 Introduction to Circles and Basic Formulas NCERT Textbook, Video Lectures Solve 5 examples from the textbook
Day 2 Area of Sectors and Segments NCERT Solutions, Class Notes Practice Exercise 11.1 Questions
Day 3 Shaded Regions in Composite Figures Sample Papers, Video Tutorials Solve Examples from Chapter End
Day 4 Revision of Key Concepts and Formulas Revision Notes Attempt Previous Year Questions
Day 5 Full Chapter Mock Test Online Test Platforms Evaluate and Review Mistakes

For students preparing for their CBSE Maths board exams, NCERT Class 10 Mathematics Chapter 11 Solutions play a vital role in understanding and practicing Areas Related to Circles. These solutions cover every exercise in detail, ensuring students can confidently approach even the most challenging problems. Alongside solutions, Practice Problems and Important Questions from 10th Math NCERT Chapter 11 help in thorough preparation.

Teachers often recommend solving CBSE Previous Year Questions and Sample Papers to understand the exam pattern and common question types. Students can find these resources in PDF format for easy access, allowing them to revise on the go. Revision Notes and NCERT Book Multiple Choice Questions for Chapter 11 also offer quick practice and are especially useful for last-minute preparation. With comprehensive guidance, Class 10 NCERT Math Chapter 11 provides the tools needed for mastering areas involving circles and scoring high in board exams.

Class: 10Maths Solutions
Chapter 11:Areas related to Circles
Content Type:PDF, Text, Graphics and Videos
Content:Exercise and Extra Questions
Session:CBSE 2024-25 Board Exams
Medium:English and Hindi Medium
Class 10 Maths Chapter 11 Topics

NCERT Solutions for class 10 Maths Chapter 11

Class 10 Maths chapter 11 Exercises Question Answers with solution in Hindi Medium and English Medium are given here in PDF file to download. The entire solutions is updated for Students of UP Board and CBSE Board Education for session 2024-25. As the UP Board Students are now using NCERT Books in current session, so they can download UP Board Solutions for class 10 Maths Chapter 11 exercise in Hindi Medium. Download NCERT Solutions Offline Apps for 2024-25 based on latest NCERT Textbooks for class 10 all subjects prepared according to Latest CBSE Syllabus for the academic year 2024-25. We have updated all the contents of Tiwari Academy for new academic session. Contents are made as per the curriculum changes in CBSE or UP Board. If someone is not getting the contents, please contact us for help. We will help to access NCERT Solutions or required contents.

10th Maths Chapter 11 Solutions

NCERT Solutions for class 10 Maths Chapter 11 Areas related to Circles all exercises are given below updated for new academic year 2024-25 for all boards who are using NCERT Books as a course books. UP Board Students also can download UP Board Solutions for Class 10 Maths Chapter 11 in Hindi from here.

Objective of the Area Related to Circles

Class 10 Maths Chapter 11 Solutions

To find the circumference, area of a circle and circular paths. To derive and understand the formulae for perimeter and area of a sector of a circle. To find the perimeter and the area of a sector, using the above formulae. Finding the areas of some combinations of figures involving circles, sectors as well as triangles, squares, rectangles and solve daily life problems based on perimeters and areas of various plane figures.

Formulae for perimeters and areas

Perimeter of a rectangle = 2 (length + breadth)
Area of a rectangle = length × breadth
Perimeter of a square = 4 × side
Area of a square = (side) × (side)
Area of a parallelogram = base × corresponding altitude
Area of a triangle = 1/2 × base × corresponding altitude
Area of a rhombus = 1/2 × product of its diagonals
Area of a trapezium = 1/2 × (sum of the two parallel sides) × distance between them
Circumference of a circle = 2 × π × radius
Area of a circle = π × (radius) × (radius)
Area of a sector = angle/360 × π × (radius) × (radius)
Length of an arc = angle/360 × 2π × (radius)
Perimeter of a sector = angle/360 × 2π × (radius) + 2(radius)
Area of segment = Area of sector – area of triangle

Historical Facts!

1. All the mathematical ideas have emerged out of daily life experiences. The first ever need of human being was counting objects. This gave rise to the idea of numbers. When the man learn to grow crops, following types of problems had to be handled:
Fencing or constructing some kind of a boundary around the field, where the crops were to be grown.
2. Allotting lands of different sizes for growing different crops.
3. Making suitable places for storing different products grown under different crops.
4. These problems led to the need of measurement of perimeters (lengths), areas and volumes, which in turn gave rise to a branch of mathematics known as Mensuration. Area related to circle is one of the part of mensuration.

What is covered in Class 10 Maths Chapter 11 Areas Related to Circles?

Class 10 Maths Chapter 11 Areas Related to Circles, focuses on calculating areas involving circles and their components. The chapter explains concepts like the area of a circle, sector and segment. It also covers the application of these concepts in real-life problems, such as finding the area of shaded regions in composite figures. Students learn how to apply formulas effectively and solve exercise questions step-by-step. This chapter builds on the basics of geometry and helps in understanding complex figures, making it a crucial part of the Class 10 Maths curriculum.

How many sums are there in class 10 Maths chapter 11 Areas Related to Circles?

There is 1 exercise in class 10 math chapter 11 (Areas Related to Circles). In exercise 11.1, there are only 5 questions.
There are only 1 example in class 10 math chapter 11 Areas Related to Circles.

How can NCERT Solutions for Class 10 Maths Chapter 11 help in exam preparation?

NCERT Updated Solutions for Class 10 Maths Chapter 11 provide detailed, step-by-step explanations for all exercise questions. These solutions ensure that students understand the underlying concepts and applications of formulas related to circles. They include practice problems, important questions and solved examples that are essential for thorough revision. By working through these solutions, students can improve their problem-solving skills and build confidence in tackling exam questions. The solutions are available in both Hindi and English, catering to diverse learners and can be downloaded in PDF format for offline study.

Which topics students should recall before starting 10th Maths chapter 11?

Before starting class 10 math chapter 11, Students should recall the following topics from chapter 10 (Circles) of class 9th math.
Topics: 1) Meaning of Chord of the circle.
2) Meaning of Arc (Major Arc and Minor Arc).
3) Meaning of Sector of the circle (Major Sector and Minor Sector).
4) Meaning of Segment of the circle (Major Segment and Minor Segment).
And some other things like radius of circle, diameter of circle etc.

What additional resources are useful for understanding Chapter 11?

Apart from NCERT Revised Solutions, resources like Class 10 Maths Chapter 11 Notes, Revision Notes and Video Lectures are highly beneficial. These materials simplify concepts and highlight key formulas and techniques. Worksheets, Previous Year Questions and Sample Papers provide ample practice and help in understanding the type of questions likely to appear in exams. Online Tests and MCQs for Chapter 11 further enhance preparation by testing conceptual clarity. These resources, combined with regular practice, ensure a comprehensive understanding of the chapter and help students excel in their board exams.

What students will study in chapter 11 Areas Related to Circles of class 10 Maths?

In chapter 11 Areas Related to Circles of class 10 math, students will study
1) Perimeter (circumference) of a circle and Area of a circle.
2) Areas of Sector and Segment of a Circle.
3) Length of an Arc of a sector of a circle.
4) Areas of Combinations of Plane Figures.

Where can I find free NCERT Solutions for Class 10 Maths Chapter 11?

Free NCERT Complete Solutions for Class 10 Maths Chapter 11 can be downloaded from various educational platforms and websites. These solutions are often available in PDF format, making them easy to access anytime. They include step-by-step explanations for all exercises, ensuring students can solve problems independently. Some platforms also provide solutions in both Hindi and English, making them accessible to a broader audience. Free resources like Sample Papers, Practice Problems and Video Lectures complement the solutions and provide a holistic approach to mastering the chapter.

Is chapter 11 Areas Related to Circles of class 10th Maths an easy topic?

Chapter 11 (Areas Related to Circles) of class 10th mathematics is not easy and not difficult, it lies in middle of easy and difficult because some examples and questions of this chapter are easy and some are difficult. But difficulty level of anything varies from student to student. So, Chapter 11 (Areas Related to Circles) of class 10th mathematics is easy or not depends on students also. Some students find it difficult some find it easy and some find it in middle of easy and difficult.

How do we find area of circle and perimeter in 10th Maths Chapter 11?

Perimeter (circumference) of circle is 2πr, where r is the radius of circle. And Area of a circle is π r², where r is the radius of the circle.
Use the formula given above and find the area or perimeter directly.

Last Edited: January 8, 2025
Content Reviewed: January 8, 2025
Content Reviewer

Sushant Mukherjee

Providing help in science for class 6 to 10. Adviser in Tiwari Academy for the science related subjects subject as well as videos contents. Ample teaching experience in schools. I am not only working for Tiwari Academy but also provide new ideas for the website and apps.