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NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles

 

If you are finding the NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles, askIITians is the best platform for you. Our Maths experts have created exercise-wise NCERT Solutions for this chapter to guide you. Whenever you get stuck in solving any question of Chapter 12, just refer to our NCERT Class 10 Maths Solutions and rectify your mistakes. This way, you can learn on your own, at your own pace. These solutions are self-explanatory, stepwise, and comprehensive so that you can prepare yourself for any kind of questions from Areas Related to Circles in the CBSE Class 10 Maths Exam. Let us see how these solutions will benefit you and what is included in them. 

About NCERT Class 10 Maths Chapter 12 Areas Related to Circles Solutions 

 

Chapter 12 Areas Related to Circles is an important chapter not only from a board exam perspective but also for competitive exams like JEE and NEET. In this chapter, you first review the concepts of area and perimeter of a circle and then study advanced topics like a sector of a circle, a segment of a circle, area of a combination of plane figures. 

 

Important points for solving the NCERT exercises of Chapter 12 Areas Related to Circles:

 

The Perimeter of a Circle: The perimeter or circumference of a circle is the distance covered by travelling once around the circle. It is given by the formula:

Circumference = 2πr = πd (π = 22/7)

Where r = Radius and d = Diameter 

 

Area of a Circle: The area of a circle is the region enclosed by the circumference of the circle. It is given by the formula:

Area of the circle = πr2 

 

Perimeter of a Semi-Circle: The perimeter of the semi-circle is half of the circumference of the given circle plus the length of the diameter. It is given by:

Circumference of semi-circle = 2πr/2 + d = πr+d = πr+2r = r(π+2)

 

Area of Semi-circle: The area of a semi-circle is half the area of the circle. It is given by:

Area of a semi-circle = πr2/2 

 

Area of a Ring around a circle: It is given by the formula:

Area =  πR2 -  πr2 =  π (R2 -  r2)

Where R is the radius of the outer circle and r is the radius of the inner circle. 

 

Area of Sector of a Circle: The area formed by an arc and the two radii joining the endpoints of that arc is known as a sector of a circle. Its area is given by: 

 

 

Length of Arc of a Sector: The length of the arc of a sector of a circle is given by: 

 

 

Segment of a Circle: The area made by an arc and a chord of a circle is known as a segment of a circle. The area of a segment is given by: 

 

 

Download Free NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles

 

This chapter includes 3 exercises with 35 questions in total that you have to solve on your own. The questions included in this chapter are mostly word problems in which you have to interpret the questions and find the solution accordingly. Many students face difficulty here as sometimes the language of the word problems can be tricky. This is where our NCERT Class 10 Maths Solutions can be helpful. 

 

Download Exercise-wise NCERT Class 10 Maths Solutions for Chapter 12 Circles:

 

NCERT Solutions for Class 10 Maths Chapter 12 Ex 12.1 

 

The first exercise of the chapter includes 5 questions based on the circumference and area of a circle and ring. All the questions in this exercise test your previous knowledge of circles that you have gained in class 9. Check our NCERT Solutions for this exercise and brush up on all your old concepts related to circles. 

 

NCERT Solutions for Class 10 Maths Chapter 12 Ex 12.2

 

The second exercise of this chapter is based on the concepts of areas of sector and segment of a circle. There are 14 questions in this exercise including MCQs, short answer type questions and word problems. Learn how to solve every question of this exercise step by step using our free NCERT Solutions. 

 

NCERT Solutions for Class 10 Maths Chapter 12 Ex 12.3

 

This is an interesting exercise with 16 questions. It is based on finding areas of a combination of plane figures. This exercise tests your analytical abilities and critical thinking as you study the different plane figures and find out their areas. In case you face any difficulty in solving this exercise, consider our NCERT Solutions. 

 

Key features of NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles:

 

  • The NCERT Solutions are based on the latest CBSE exam pattern and syllabus. 

  • You can download the NCERT Solutions in Pdf form and refer to them whenever you study. 

  • The NCERT Solutions include stepwise explanations for every exercise question. 

  • Learn how to solve complex problems of areas related to circles at your own pace.

NCERT Class 10 Maths Chapter 12 Areas Related to Circles FAQs

 

1. Where can I find NCERT Class 10 Maths Chapter 12 Areas Related to Circles MCQs? 

askIITians provides all kinds of study materials for Class 10 Maths Chapter 12 Areas Related to Circles like chapter notes, MCQs, and pdf solutions. We also provide extra questions based on important previous year questions of the chapter for board exam preparation. 

 

2. How to utilise the NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles effectively? 

Make sure to understand all the formulae for finding the area and circumference of the circle, sector, and segment. Practise the solved examples to learn how to approach the exercise questions. Solve every exercise question step by step. In case of any difficulty or doubt, consult our NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles. 

 

3. Why are NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles important? 

These solutions help you master all the three exercises of the chapter easily. You can resolve your doubts on your own and prepare for the Class 10 Maths board exam easily using these solutions as a guide. 


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