NCERT Solutions for Class 10 Maths Chapter 11 Exercise 11.1 Areas Related To Circles - PDF Download

NCERT solutions for class 10 maths chapter 11 Areas related to circles ex 11.1 is based on the areas and circumference of the circle that students have learned about in previous lessons. This exercise is challenging because it forces students to work on their math skills. Questions are in the form of problem-sums, where you have to explain a statement and figure out its math meaning before you use formulas to figure out the answer. 

These concepts may be used by students to identify the circumference of a complex figure or to identify another element, such as the radius of a circle. Ex 11.1 in NCERT solutions class 10 maths chapter 11 is composed of a total of fourteen questions that are designed to simulate a student's higher thinking process. 

Download free PDF of NCERT solutions for class 10 maths ex 11.1 written by expert teachers of eSaral. These solutions will help you revise the topic and score more marks in maths class 10.

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Topics Covered in Exercise 11.1 Class 10 Mathematics Questions

NCERT solutions for class 10 maths chapter 11 ex 11.1 covers the topic of areas of sector and segment of a circle.

1. Areas of Sector and Segment of a Circle - The portion (or part) of the circular region enclosed by two radii and the corresponding arc is called a sector of the circle and the portion (or part) of the circular region enclosed between a chord and the corresponding arc is called a segment of the circle. 

Areas of Sector - There are two types of sectors: 1. Major sector, 2. Minor sector

• A major sector is defined as a sector that is greater than a semicircle. 
• A minor sector is defined as a sector that is less than a semicircle.

Formula of Area of Sector

You can use this formula to figure out how much space a piece of a circle covers. You can think of it as the total area of the circle. 

                    Area of sector of a circle =θ/360∘×πr2,  

where ‘r’ is the radius of the circle and ‘θ’ is the angle at the center of the circle.

Segment of a Circle - There are two types of segments: 1. Mejor segment, 2. Minor segment

• A major segment is made from the major arc. 
• A minor segment is made from the minor arc.

Formula of Segment of a Circle

Area of segment of a circle = Area of the corresponding sector – Area of the corresponding triangle.

Area of segment = θ/360×πr2 − ½xr2 sinθ 

Length of an arc of a sector of a circle with radius r and angle with degree measure is = θ/360∘× 2πr

Tips for Solving Exercise 11.1 Class 10 chapter 11 Areas Related To Circles 

NCERT solutions class 10 maths chapter 11 ex 11.1 questions related to circles can be solved as long as students are familiar with the relevant topics. Here are a few important tips to solve the questions easily.

1. NCERT solutions class 10 maths chapter 11 ex 11.1 can be easily solved if students first complete the theory section and then practice the questions.
2. Students also need to revise the fundamental formulas that will assist them in solving all the questions from this exercise.
3. The questions are designed to test a student’s fundamental understanding of the circumference and area of a circle.

Importance of Solving Ex 11.1 Class 10 Maths chapter 11 Areas Related To Circles

Benefits of solving ex 11.1 class 10 maths chapter 11 are listed below.

1. NCERT solutions provide step-by-step solutions to all the questions in ex 11.1.
2. You can understand the concept of every small section of a topic provided by subject experts of eSaral.
3. After solving several questions from the NCERT solutions, you can solve all the board exam questions from the chapter easily.
4. You can also get all the solutions to questions of ex 11.1 free pdf form eSaral website.
   For the full syllabus organised in one list, this chapter reads well alongside the central CBSE class 10 Maths hub page.

Frequently Asked Questions

Question 1. Write the formula of area of sector.

Answer 1. The formula of area of sector is given below.

                    Area of sector of a circle =θ/360∘×πr2

Question 2. What is the area of a segment of a circle?

Answer 2. Area of segment of circle = area of corresponding sector – area of corresponding triangle.