# NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.1) Exercise 14.1

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.1) Exercise 14.1

NCERT solutions for Class 6 are available on Extramarks for Class 6 students to use in their academic study. The NCERT solutions for Class 6 are developed by a panel of subject experts, and the format complies with NCERT requirements. Each answer is divided into its component parts so that students may understand it easily. As points are earned at each level, writing all the steps of a solution is vital for attaining good marks. The academic test question papers are based on the NCERT Class 6 textbook. Students could prepare for examinations by resolving problems using NCERT solutions for Class 6. Students can learn and get ready for the examinations more quickly owing to Extramarks’ engaging, creative, and user-friendly CBSE study materials. The study resources are produced by subject experts while keeping in mind the most recent CBSE syllabus. The online CBSE study materials, which contain the curriculum, books, sample papers, test questions, NCERT solutions, important questions, and CBSE notes, will be helpful to all students. Applying the CBSE study resources will make it easy for students to get ready for their examinations.

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 comprises 5 problems in Practical Geometry that are based on the geometrical rules for building a Circle. The first and second problems ask students to make Circles using given radius numbers, while the third asks them to construct a Circle using a given diameter value. The last question is based on observation and uses two Circles, while the fourth question gives information on the points used to form a Circle. Students can quickly create Circles by using the Practical Geometry concepts they learn in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1.

Students learn about a variety of questions in Class 6 Math Chapter 14 Exercise 14.1 relating to forms and their construction, which are significant from the perspective of the test, with the help of the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 based on Practical Geometry. The topics covered in Class 6th Math Exercise 14.1 include several tools used in shape creation and the procedures needed to construct a Circle when its radius is known. Students can use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 created by subject-matter experts to tackle the exercise-wise problems for a better understanding of these subjects.

Everyone understands what a Circle is. The essential thing to keep in mind is that a Circle is a body without edges. Every point on a Circle is the same distance from the centre. The radius of a Circle is the distance between its centre and any other point on the Circle. A Circle is simple to draw if one knows what its radius is. Students will discover the full procedures of creating a Circle with a known radius in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 based on Practical Geometry. The straightforward, plain, and easy-to-understand NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 are provided by Extramarks.

### Access Other Exercises of Class 6 Maths Chapter 14

 Chapter 14 – Practical Geometry Exercises Exercise 14.2 5 Questions & Solutions Exercise 14.3 2 Questions & Solutions Exercise 14.4 3 Questions & Solutions Exercise 14.5 9 Questions & Solutions Exercise 14.6 9 Questions & Solutions

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.1) Exercise 14.1

Students will learn that they need a strong grasp of how to apply various mathematical tools in construction as they work through the tasks. Students can use the curated PDF version of the  NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 to help them fully understand these intriguing ideas. The multiple educational tools offered on the Extramarks website should be used by students. Class 6 exam preparation will benefit from a correct combination of NCERT solutions, including the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1, sample questions, past years’ papers, etc.

## Access NCERT solutions for Class 6 Chapter 14-Practical Geometry

Online resources include the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 based on Practical Geometry for Maths Class 6 Ex 14.1 and more exercises. These are provided by Extramarks, the top online learning platform in India. It includes a PDF of the exercise-by-exercise NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 based on Practical Geometry. These techniques are quite helpful while preparing for exams. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 are created by subject-matter experts with substantial topic knowledge and years of teaching experience. Students should not delay in obtaining the  NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 based on Practical Geometry.

### Exercise 14.1

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 based on Practical Geometry, cover creating the forms that the students are already familiar with as well as the instruments needed to create the shapes. The NCERT Solutions For Class 6 Maths Chapter 14 Exercise 14.1 deal with topics such as the Circle, constructing a Circle whose radius is known, constructing a line segment of a given length, constructing a copy of a given line segment, perpendiculars, constructing a perpendicular to a line through a point on it, constructing a copy of a perpendicular to a line through a point not on it, and the perpendicular bisector of a line segment. Students can improve their grasp of how to create a Circle using certain procedures by utilising the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1. These are listed below:

• Use a ruler to extend the provided compass to the necessary radius.
• The location of the Circle’s centre should be noted on the paper.
• Rotate the compass while positioning the tip here to create the Circle.
• To correctly comprehend the structure, students should go through the chapter’s examples.

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 have comprehensive solutions to questions that are clear, concise, and well crafted, which will improve a student’s logical and analytical abilities. The basis for Advanced Geometry is laid by acquiring an understanding of these solutions. After completing the Class 6 Maths Chapter 14 Exercise 14.1, students will be confident in their capacity to perform well in Geometry. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 are a very dependable resource for learning and studying for examinations because of their remarkable quality. Some important topics covered in  Class 6th Math 14.1 can be understood with the help of NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1. Major concepts are as follows

• Circle

A Circle is a particular type of arc in Maths or Geometry where the eccentricity is zero and the two foci are congruent. A Circle is also known as the location of points that are evenly spaced out from the centre. The radius of a Circle is measured from the centre to the edge. The line that splits a Circle into two identical halves is its diameter, which is also twice as wide as its radius. To understand the major theory about Circles, students can use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1.

• A line segment

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that may stretch in both directions and has neither a beginning nor an end. Students will learn more about a line segment, its symbol, and how to measure one in this session. These complex topics are briefly covered in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1.

• Perpendicular Lines

A perpendicular line is a straight line that has been put up so that it forms a right angle with another line. Both lines are perpendicular to each other.

To get an understanding of such concepts, students are advised to read through the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1. To ensure that students do not overlook any topics, Extramarks has introduced every topic in the most fundamental way possible.

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.1

Class 6 is a crucial stage in a student’s academic career. The students in this class are introduced to fresh ideas that will help them in determining their future academic interests. To understand the topics adequately, students must master the principles thoroughly. Students can now obtain the NCERT solutions from Extramarks for all the subjects of Class 6. With NCERT solutions for Class 6, students can conveniently concentrate on various subjects and chapters. These NCERT solutions offer solutions to several exercises from the Class 6 NCERT textbooks. Students can download and practise the questions and answers if they intend to do well in class and achieve high exam scores.

Students in Class 6 have a lot to study because their syllabus includes a variety of academic disciplines, including Science, Social Studies, Maths, and English. There are extensions for some of the chapters covered in the Class 6 syllabus in the upper grades. Therefore, Class 6 students need to have a demonstrated basic understanding of the topics and chapters. Students can learn how to address questions effectively to get high marks in the exams by using the NCERT solutions for Class 6. These strategies can help students succeed in school and keep one step ahead in the competition. The chapter-by-chapter NCERT Solutions for Class 6 Maths are provided on the Extramarks website. The specialists of Extramarks on Extramarks thoroughly offer these solutions. For a complete understanding of the ideas, students are suggested to go through these chapter-by-chapter solutions.

Chapter 1 Knowing Our Numbers

Chapter 2 Whole Numbers

Chapter 3 Playing With Numbers

Chapter 4 Basic Geometrical Ideas

Chapter 5 Understanding Elementary Shape

Chapter 6 Integers

Chapter 7 Fractions

Chapter 8 Decimals

Chapter 9 Data Handling

Chapter 10 Mensuration

Chapter 11 Algebra

Chapter 12 Ratio and Proportion

Chapter 13 Symmetry

Chapter 14 Practical Geometry

The first part of the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 covers the many ideas for creating various forms with precise dimensions. To help students master these ideas, the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 also include a list of several questions and their solutions. At the end of the chapter, there are some unresolved problems for students to practise on. The Class 6th Math Chapter 14.1 exercises in the chapter on Practical Geometry are based on a range of problems of varying degrees of difficulty, which will aid in students’ conceptual growth. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 have been produced by the mentors of Extramarks and are simple to grasp. To verify their answers, they might use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1. Additionally, they can pick up a new, simpler technique for solving specific geometrical problems. All of the questions cannot be answered in one class. The solutions to all of the sums in Class 6 Math Chapter 14 Exercise 14.1 can be found in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1.

Q.1 Draw a circle of radius 3.2 cm.

Ans.

Steps of construction:

1. Take a measurement of 3.2 cm by the compass on a scale.

2. Draw a circle with centre O and radius 3.2 cm.

Q.2 With the same centre O, draw two circles of radii 4 cm and 2.5 cm.

Ans.

Steps of construction:

1. Take a measurement of 4 cm by the compass on a scale.

2. Draw a circle with centre O and radius 4 cm.

3. Now take a measurement of 2.5 cm by the compass on a scale.

4. Draw a circle with centre O and radius 2.5 cm.

Q.3 Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

Ans.

When we join the end points of diameters that are not perpendicular to each other, we get a rectangle.

When diameters are at right angle and we join end points of these, we get square.

Since diagonals of a rectangle are equal and bisect each other at a specific angle. and diagonals of square are equal and bisect each other at right angle.

Q.4 Draw any circle and mark points A, B and C such that

(a) A is on the circle.

(b) B is in the interior of the circle.

(c) C is in the exterior of the circle.

Ans.

(a) A is on the circle with centre O.

(b) B is in the interior of the circle with centre O.

(c) C is in the exterior of the circle with centre O.

Q.5

$\begin{array}{l}\text{Let A, B be the centres of two circles of equal radii; draw}\\ \text{them so that each one of them passes through the centre}\\ \text{of the other. Let them intersect at C and D. Examine}\\ \text{whether }\overline{\text{AB}}\text{ and }\overline{\text{CD}}\text{ are at right angles.}\end{array}$

Ans.

$\begin{array}{l}\text{Draw two circles of same radius which are passing through the centres of the other circle.}\\ \text{Here, point A and B are the centres of these circles and these circles are intersecting each other}\\ \text{at point C and D}.\\ \text{In quadrilateral ADBC,}\\ \text{AD}=\text{AC (Radius of circle centered at A)}\\ \text{BC}=\text{BD (Radius of circle centered at B)}\\ \text{As radius of both circles are equal, therefore, AD = AC = BC = BD}\\ \text{Hence, ADBC is a rhombus and in rhombus, the diagonals bisect each other at}90°\text{.}\\ \text{Hence,}\overline{\text{AB}}\text{and}\overline{\text{CD}}\text{are at right angles.}\end{array}$

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### 1. What is Practical Geometry in Maths?

A branch of Geometry known as “Practical Geometry” teaches students how to build various geometrical objects such as Line Segments, Angles, Triangles, and other polygons. With the provided precise measurements, students build the necessary forms using a variety of geometrical tools. The discipline of Geometry creates meaning through the development of meaningful concepts. Everything in the environment is built and has dimensions. It is crucial to understand how forms, angles, and lines are put together. Students can create geometric forms with the knowledge of Practical Geometry by employing straightforward instruments like a protractor, compass, ruler, etc. To comprehend the entire chapter students must take reference from the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1.

### 2. How many questions are there in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1?

There are 5 questions and their solutions in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1. These are complete and accurate solutions. The proper method or approach is used to tackle every question. Students who use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 can perform well in their exams.

### 3. What relevance do the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 have?

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1 offer a thorough understanding of Practical Geometry and other topics which have been produced after much research. A logical structure is used in NCERT Solutions For Class 6 Maths Chapter 14 Exercise 14.1 to make it simple to comprehend complicated concepts. Students can quickly discover the best strategy for succeeding in board exams with the aid of the different examples and practice problems given along with the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.1.