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RS Aggarwal Class 11 Solutions Chapter-14 Measurement of Angles

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Last updated date: 22nd Mar 2024
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Class 11 RS Aggarwal Chapter-14 Measurement of Angles Solutions - Free PDF Download

For science students, Maths is a vital subject of the Class 11 curriculum. CBSE Class 11 students should read this subject sincerely. The Central Board of Secondary Education (CBSE) has included some critical and essential topics of mathematics in the Class 11 syllabus. There are several branches of mathematics in the Class 11 syllabus such as algebra, arithmetic, trigonometry, geometry, statistics, etc. One of the most important chapters of geometry in Chapter 14. This chapter is all about the measurement of angles. The students will learn about different types of angles and their measurements. There are several exercise questions in this chapter. To solve the problems, the students should follow the measurement of angles Class 11 RS Aggarwal solutions provided by Vedantu.

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Class 11 RS Aggarwal Chapter-14 Measurement of Angles Solutions - Free PDF Download

Class 11 Maths Chapter 14 Measurement of Angles

In this chapter, different types of angles are defined. The measurement of those angles is also given in Class 11 Mathematics Chapter 14. For Class 11 science students, geometry is an essential part of the Maths syllabus. The primary measurement knowledge will help the students in higher studies of geometry or mathematics. Therefore, the students should read this chapter sincerely and learn the angle measurement process correctly. This chapter includes an exercise of mathematical questions on a particular topic. The students should solve all the questions of the exercise. The topic of knowledge will be clear to them. The students will achieve efficiency on this topic by practicing exercise problems. That is why the measurement of angles Class 11 RS Aggarwal solutions are available for the students. By practicing these solutions, the students will have a clear and concrete knowledge of this chapter.


RS Aggarwal Solutions Class 11 Maths Chapter 14

CBSE Class 11 Maths Chapter 14 defines the concept of measurement of angles. This chapter comes with an exercise including different mathematical problems of this chapter. The students should read the chapter first. After that, they should solve those problems sincerely. The students will benefit from the provided solutions for this exercise. RS Aggarwal Solutions Class 11 Maths ch 14 is essential for the students. It will be a great help for the students if they get solutions to exercise questions. They will get advantage from these solutions for their revision and exam preparation. The exercise of Chapter 14 covers all the major concepts of angle measurement. Different types of problems are included in the exercise. Measurement of angles Class 11 RS Aggarwal solutions will help the students in solving the exercise questions. These solutions are available in combined PDF format. The students should collect them and start their preparation for the final exam.


Solved Examples

1. Draw 60° Angle Using a Protector.

Solution: Draw a straight line named PQ and point at Q. Q represents the vertex of the angle. Outing point Q at the center of the protector, baseline the protector along with QP. Mark 60 degrees on the scale of the protector and draw a small dot at the edge. Join the dot with vertex Q with the help of a ruler to form the second arm named QR. Mark the angle with a small arc and write 60°.


2. Convert the following degrees into radians –

a) 36° b) 225° c) 7 degree 30 minutes

Solution:

a. We know, angle in radians = π/180* Angle in degrees.

Therefore, angle in radians = 36° * π/180

                                                = π/5

b. We know that, angle in radians = π/180 * angle in degrees.

So, angle in radians = π/180 * 225°

                                   = 5π/4

c. We know, angle in radians = π/180 * angle in degrees.

Angle in radians = angle in minute/60

Therefore, total angle = 7 + 30/60 = 7.5

So, angle in radians = 7.5° * π/180

                                   = π/24


3. The Sum and Difference of Two Acute Angles of a Right-angled Triangle are π/2 and 

π/5. Find Out the Value of Two Acute Angles.

Solution: We know, angle in degrees = 180/π * angle in radians.

So, π/5 * π/180 = 36° 

      π/2 * π/180 = 90°

According to the conditions, if the angles are x and y –

              X+Y = 90°…….(1)

              X-Y = 36°…….(2)

Solving (1) and (2), we are getting –

2X= 126° 

Or, X= 63°

Putting value of X in (1) –

63° - Y = 90°  

Or, Y = 27°

Therefore, the value of the two acute angles is 63° and 27°.

FAQs on RS Aggarwal Class 11 Solutions Chapter-14 Measurement of Angles

1. What are the Benefits of Studying the Measurement of Angles Class 11 RS Aggarwal Solutions?

Mathematics is an essential subject of the CBSE Class 11 curriculum. The students of Class 11 should read the entire mathematics syllabus thoroughly and practice them repeatedly. Chapter 14 measurement of angles of Class 11 Maths is a vital concept of geometry. The students should learn that with correct examples. That is why an exercise is included in the chapter. The students should follow the measurement of angles Class 11 RS Aggarwal solution for better preparation. The solutions are prepared by expert Maths teachers after ten years of research. The solutions are explained easily for the students. The students can revise efficiently with measurement of angles Class 11 RS Aggarwal solutions.

2. How Can I Get the Measurement of Angles Class 11 RS Aggarwal Solutions?

CBSE Class 11 Maths Chapter 14 is about the measurement of angles. An exercise of different mathematical problems is included in the chapter. The students should solve and practice exercise positively. The preparation of the students becomes easier with the solution of the exercise. They can revise the chapter and practice the exercise more effectively. Measurement of angles Class 11 RS Agarwal solutions are available online for the students. Different educational applications and websites are providing these solutions. The students can download the PDF or click on the direct download link and download the solutions. The students should download them as soon as possible to start preparation.

3. Why is it important to refer to RS Aggarwal Chapter 14 for Class 11 after NCERT exercises?

Class 11 chapters like Chapter 14 Measurement of Angles are very important from the perspective of board exams as well as entrance exams like JEE. Therefore, it is very essential to get as much practice for these chapters as possible. Often, NCERT questions are not enough practice and therefore, after solving exercises, students can turn to reference books like RS Aggarwal for additional practice on the concepts of NCERT and also learn some extra knowledge about the topic. Students can also refer to the Class 11 solutions for RS Aggarwal all chapters on the Vedantu website if they need help to solve the questions in the reference book.

4. What are the Sexagesimal system and the Centesimal system as explained in chapter 14 of class 11 RS Aggarwal?

As mentioned in class 11 Chapter 14 of RS Aggarwal, Sexagesimal System comprises a system of measuring angles where eagles are measured in degrees, minutes, and seconds. It is also known as the English system. A degree, according to the Sexagesimal System, is one part out of 90 in which a right angle is divided into. A sexagesimal minute is obtained by dividing a degree into 60 equal parts. On the other hand, According to the Centesimal System, an angle is measured in seconds, minutes, and grades. Here, a right angle is divided into 100 equal parts instead of 90 and each part is called a grade which on being divided into 100 again gives centimeters.

5. How many chapters are there in the Class 11 CBSE Class 11 syllabus for mathematics?

The Class 11 mathematics syllabus for the CBSE board consists of 16 chapters divided into 6 units. These units are carefully constructed to cover a diverse range of topics for class 11 students so that they are prepared for the topics in class 12 and also for the entrance exams like JEE. the sex units in class 11 Mathematics syllabus CBSE board are: Sets and Functions, Algebra, Coordinate Geometry, Calculus, Mathematical Reasoning, and Statistics and Probability. Unit II Algebra is the biggest unit in the class 11 syllabus for mathematics containing 6 chapters and therefore has the highest weightage in the board exam of 37 marks out of the 100. For more information, students can head over to the Vedantu website or the Vedantu app, where all the resources are available for free.