NCERT Solutions for Class 10 Maths Chapter 12 Ex 12.2

 

NCERT Solutions for Class 10 Maths Chapter 12 Ex 12.2 will help you understand how to find the areas of a sector and segment of a circle. The askIITians Maths experts have solved every question of this exercise in a stepwise manner to help you understand how to approach the questions in the exam. The solutions also include proper explanations regarding the methodology of solving the exercise questions. You can download the NCERT Solutions for free in PDF form and practise the exercise questions at your own pace. Let us see what is included in Ex 12.2 of NCERT Class 10 Maths Chapter 12. 

About Exercise 12.2 of NCERT Class 10 Maths Chapter 12 Areas Related to Circles 

 

The second exercise of Chapter 12 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. 

 

Important points related to Ex 12.2 of NCERT Class 10 Maths Chapter 12 Areas Related to Circles:

 

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 the formula: 

 

 

Major Sector and Minor Sector: Consider the image given below: 

 

The area including ∠AOB with point C is called Minor Sector. So OACB is the minor sector. ∠AOB is the angle of the minor sector.

 

The area including ∠AOB with point D is called the Major Sector. So OADB is the Major Sector. The angle of the major sector is 360° – ∠AOB.

 

Area of Minor Sector + Area of Major Sector = Area of the Circle

 

Area of Major Sector = πr2 -  Area of the Minor Sector

 

Segment of a Circle: The area made by an arc and a chord is called the Segment of the Circle. The area of a segment is given by: 

 

 

Major Segment and Minor Segment of a Circle: Consider the image given below

 

The area made by chord AB and arc X is the minor segment. The area of the Minor Segment can be calculated by:

 

Area of Minor Segment = Area of Minor Sector – Area of ∆ABO

The other part of the circle except for the area of the minor segment is called a Major Segment.

 

Area of Major Segment = πr2 -  Area of Minor Segment

 

You must note that Area of major segment + Area of minor segment = Area of the circle. 

 

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

 

Tips on how to solve the questions of Exercise 12.2 of Class 10 Maths Chapter 12: 

 

• You must remember all the formulae given above as they will help you in solving the questions of this exercise. 

• All the questions given in this exercise are word problems so you must read the questions carefully and take note of all key points. 

• If possible, create a rough diagram of the question to get a better understanding of the question. 

• In case of any doubts, refer to the NCERT Solutions by askIITians for Class 10 Maths Chapter 12. 

Download Free NCERT Class 10 Maths Solutions for Chapter 12 Ex 12.2 

 

Areas Related to Circles is an interesting chapter and we are sure that solving this exercise will help enhance your analytical skills, problem-solving skills and critical thinking. Key features of the NCERT Solutions for Class 10 Maths Chapter 12.2 include: 

 

• All the solutions are checked at least twice to make sure that they are 100% correct and easy to understand. 

• The NCERT Solutions are prepared by expert askIITians Maths faculty members in a step by step format. 

• The solutions can be downloaded from our website in PDF form. 

• The students can study all the NCERT Solutions independently at their own pace, without any kind of additional guidance. 

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

• Learn how to solve complex problems in areas related to circles at your own pace with our NCERT Solutions. 

 

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

 

• NCERT Chapter 12 Class 10 Maths Ex 12.1 Solutions - 5 Questions

• NCERT Chapter 12 Class 10 Maths Ex 12.2 Solutions - 14 Questions

• NCERT Chapter 12 Class 10 Maths Ex 12.3 Solutions - 16 Questions

NCERT Class 10 Maths Chapter 12 Ex 12.2 FAQs

 

1. How many exercises are there in Chapter 12 of NCERT Class 10 Maths? 

Chapter 12 Areas Related to Circles of Class 10 Maths includes 3 exercises with a total of 35 unsolved questions. 

 

2. What is the area related to a circle? 

The area of a circle is the region enclosed by the circumference of the circle. It is given by the formula πr2 where r is the radius of the circle.  

 

3. Which questions of exercise 12.2 of NCERT Class 10 Maths are easy to solve? 

Exercise 12.2 of Class 10 Maths NCERT Chapter 12 includes 14 questions and all are easy to solve if you understand the concepts of arcs, segments, and sectors of a circle. Typically, students find questions  1, 2, 4, 5, 6, 8, 11, 12 and 14 much easier to solve in this exercise.