NCERT Solutions Class 10 Maths Chapter 10 In Hindi
A Circle is a two-dimensional shape made up of equal-spaced points on a plane with one fixed point. The radius of a Circle is in the form of a predetermined distance from the centre. Circles have diameters that are twice their radii. The geometric shape with the highest ratio of area to perimeter is a Circle. Students can determine the dimensions of a Circle by measuring the Circle’s area and perimeter. In real life, people encounter a lot of rounded shapes. In the real world, Circles can be found in both the natural world and human-made constructions.
The use of a Circle extends from a pen’s tip to the form of planets. Some examples of Circles in everyday objects include cameras, pizzas, Ferris wheels, rings, steering wheels, cakes, pies, buttons, etc. The radius, diameter, circumference, and area of a Circle are only a few of the many characteristics that have practical applications. If the Circle’s radius is known, it is possible to determine all its other measurements. Remarkably, it is possible to compare the radius of a Circle to compare the sizes of two circular objects. Human technology would not have advanced to this extent without the application of concepts imbibed in Geometry, and the Circle is a component of Geometry.
The NCERT Solutions For Class 10 Maths Chapter 10 In Hindi are based on the chapter “Circles” which is a crucial part of the curriculum of Geometry in the Mathematics syllabus of Class 10. The numerical problems on the topic Tangents of Circles and Areas Related to Circles are included in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi presented on the Extramarks website and mobile application. Extramarks also provides the most thorough, trustworthy, and updated material, compiled by experienced Extramarks mentors.
These NCERT Solutions For Class 10 Maths Chapter 10 In Hindi have been specially curated by subject-matter experts in strict compliance with the latest CBSE curriculum. Students are advised to read through the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi in order to get ready for the board exams and strengthen their conceptual foundation for various competitive tests. For limitless access to a legion of questions from academic books for test practice, students can always refer to Extramarks.
The designated chapter focuses primarily on the number of tangents that can be drawn from a given point on a Circle. The most frequent geometrical form people encounter in daily life is a Circle. Students are instructed regarding the practical contexts in which various theorems are applicable after studying them in Circles. Photographers use circular lenses to focus on objects. A ship’s navigator utilises the nautical radar to determine its location and whether any ships are approaching by using theorems related to Circles. Circular shapes are frequently used by aircraft designers. Theorems of Circles are used to determine how much space is inside a plane when designing its interior. These are just a few of the numerous instances where themes related to Circles are applied in daily life.
Here are a few points to remember from the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi:
- Tangent to a Circle is a line that meets it just once.
- The radius through the point of contact is perpendicular to the tangent to a Circle at that point.
- When the two endpoints of the corresponding chord coincide, the tangent to a Circle is a particular instance of the secant.
- Only one tangent can be traced from a point on the Circle.
- Two and only two tangents can be traced from a point outside of a Circle to that point.
On Extramarks, students may find credible learning resources such as the solutions for NCERT Class 10 Maths Chapter 10 In Hindi.
Extramarks provides NCERT Solutions for Class 10 for the following chapters in Hindi:
- 1st Chapter: Real Numbers
- 2nd Chapter: Polynomials
- 3rd Chapter: Pair of Linear Equations in Two Variables
- 4th Chapter: Quadratic Equations
- 5th Chapter: Arithmetic Progressions
- 6th Chapter: Triangles
- 7th Chapter: Coordinate Geometry
- 8th Chapter: Introduction to Trigonometry
- 9th Chapter: Some Applications of Trigonometry
- 11th Chapter: Constructions
- 12th Chapter: Areas Related to Circles
- 13th Chapter: Surface Areas and Volumes
- 14th Chapter: Statistics
- 15th Chapter: Probability
Students can download the most comprehensive, dependable, and up-to-date NCERT Solutions For Class 10 Maths Chapter 10 In Hindi from the Extramarks website and mobile application. These NCERT Solutions For Class 10 Maths Chapter 10 In Hindi were created by subject specialists of Mathematics in accordance with the most recent CBSE marking scheme and examination pattern guidelines. To ensure that they perform well in examinations, students must practise mathematical questions effectively and frequently. Students can complete the prescribed exercise problems for Circles provided in the NCERT textbook with the help of the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi. The solutions provided in NCERT Solutions For Class 10 Maths Chapter 10 In Hindi will help students score high grades.
After extensive research, highly qualified mathematics instructors at Extramarks developed NCERT Solutions for Class 10 Maths, Chapter 10, in Hindi based on circles.These NCERT Solutions For Class 10 Maths Chapter 10 In Hindi are essential for Class 10 board examination preparation. Extramarks experts have provided step-by-step solutions to all of the questions in Class 10 Maths Chapter 10 in Hindi.
The NCERT Solutions For Class 10 Maths Chapter 10 In Hindi are available for download, and the questions are organised methodically according to the format of the exercise to make it easier for students to prepare for and solve all types of questions. Students are recommended to use these NCERT Solutions For Class 10 Maths Chapter 10 In Hindi during their preparations in order to achieve good grades.
The Unit 4 Geometry of the CBSE Syllabus for 2022–2023 of Mathematics for Class 10 includes Chapter 10 Circles. In the Class 10 board exams, this unit has a topic weightage of 22 marks. Four multiple-choice questions (MCQs) worth 4 marks each, two short answers worth 6 points each, and two long answers worth 12 points constitute Unit 4. Students should study the NCERT Solutions for Class 10 Maths Chapter 10 in Hindi offered by Extramarks to get a firm grasp on the principles from this chapter to solve problems.
Below is a list of the sub-topics explained in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi:
- Introduction to Circles
- Tangent to a Circle
- Number of Tangents from a point on a Circle
- Summary of the entire chapter
The solutions to the exercises included in NCERT Solutions For Class 10 Maths Chapter 10 In Hindi are as follows:
- Exercise 10.1- 4 Questions consists of 2 long answer questions, 1 short answer question, and 1 fill-in-the-blanks question.
- Exercise 10.2 consists of 13 questions: 10 long answers, 4 descriptive questions, and 2 short answers.
Students can learn the concepts related to Circles by using the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi. For a better grasp of the concept, candidates can examine these NCERT Solutions For Class 10 Maths Chapter 10 In Hindi. Examinees would also benefit from these NCERT Solutions For Class 10 Maths Chapter 10 In Hindi if they want to perform well in their exams.
The concept of tangents to Circles and some of their characteristics are covered in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi. Some complex topics, including tangents, tangents to a Circle, and the number of tangents from a point on the Circle, are also introduced to the students in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi. Due to vivid illustrations and the use of geometric calculations, this chapter appears to be quite engaging.
Responses to some difficult conceptual questions on Circles are included in these NCERT Solutions For Class 10 Maths Chapter 10 In Hindi, which will assist students in resolving any questions they may have while studying. It is advised that students study these NCERT Solutions For Class 10 Maths Chapter 10 In Hindi to become familiar with alternative calculation techniques.
Below are reasons that will help students understand the importance and need for the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi offered by Extramarks:
- All of the exercise questions in the Chapter 10 Circles are adequately responded to in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi.
- The NCERT Solutions for Class 10 Maths Chapter 10 in Hindi would help instill the habit of practising difficult questions, which would aid examinees in better comprehending the themes.
- These solutions provide information on the revised CBSE Syllabus and potential examination question styles.
- These solutions help students practise drawing crucial constructions.
- These solutions would help students remember crucial formulas and computation techniques.
For all subjects and courses, Extramarks offers NCERT Exemplars, solutions, notes, interactive videos, and animations. Students can register on the Extramarks website or download the Extramarks learning app to have access to the study resources that Extramarks offers.
Students can access additional CBSE Board study materials on Extramarks to learn about the kinds of questions that are important from an examination perspective. Due to the fact that similar questions could be a part of class examinations as well as Class 10 board exams, the solutions in NCERT Solutions For Class 10 Maths Chapter 10 In Hindi must be retained by students. The examinees will be prepared for their future exams by learning these questions.
NCERT Solutions for Class 10 Maths Chapter 10 Circles in Hindi PDF Download
The NCERT Solutions For Class 10 Maths Chapter 10 In Hindi are quite engaging. These NCERT Solutions For Class 10 Maths Chapter 10 In Hindi serve as an efficient learning resource, and students will learn everything there is to know about Circles. The themes related to Circles require in-depth revision, and students should practise until the concepts are understood. It is impossible to retain Mathematics. Perfection can only be achieved through practice.
Since this is the introduction to the theme of Circles, students may require some time to understand the implicit concepts and theorems. The greatest resource for students will be NCERT Solutions For Class 10 Maths Chapter 10 In Hindi by Extramarks, which they can use in conjunction with the textbook. Students can practise different types of questions. Since the solutions are created by experienced mentors, students may rely on them and begin studying for the examination with complete assurance. In addition to being available for practise and for download on the Extramarks website and the Extramarks mobile application, the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi are also available for reference in both Hindi and English..
Here are a few terminologies and the General and Standard Equation of a Circle that students need to be familiar with before delving deep into the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi:
According to the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi, a Circle is a two-dimensional shape whose radius serves as the unit of measurement. The Circle is a geometric shape that separates the plane’s external portion from its inside region. The area of a Circle is the space it encloses in a 2D plane, whereas the perimeter of a Circle is also referred to as its circumference.
- Annulus: The region enclosed by two concentric Circles is referred to as the Circle’s annulus. Essentially, it is seen as ring-shaped.
- Arc: The linked curve of a Circle is called an arc.
- Sector: The sector of the Circle is the region enclosed by two radii and an arc.
- Segment: The region enclosed by a chord and an arc that lies between the chord’s ends is known as the segment of a Circle. It should be observed that there is no centre point in the segment.
- Chord: A chord is a line segment connecting any two locations along the Circle’s circumference. The longest chord in a Circle that traverses its centre is called the diameter.
- Centre: The midpoint of the Circle is where the centre is located.
- Radius: A radius is a straight line that connects a Circle’s centre point to its perimeter.
- Diameter: The diameter of a Circle is the segment of a line that passes through its centre and has two extreme points on its circumference. By splitting the Circle into two equal pieces, it creates two distinct semi-circles.
Any Circle equation gives the algebraic definition of a Circle with a specified centre radius. The equation for a Circle has the generic form x2 + y2 + 2gx + 2fy + c = 0. The coordinates of the Circle’s centre and radius are found using the general equation of Circles, where g, f, and c are constant values. The general form of a Circle’s equation, which provides specific details about the Circle’s centre and radius, is known as the standard equation of Circles. The position of a Circle on a Cartesian Plane is indicated by the equation of a Circle. With a given centre and radius length, a Circle can be drawn on a piece of paper. Students will be able to construct the entire Circle on the Cartesian Plane using the equation of the Circle once they have determined the Circle’s radius and centre of gravity. The various ways to express the equation of a Circle are:
- General form
- Standard form
- Parametric form
- Polar form
The NCERT Solutions For Class 10 Maths Chapter 10 In Hindi further discuss in detail the properties of a Circle:
- When two Circles have the same radius, they are congruent.
- Equal-length chords are always equally spaced from the Circle’s centre.
- The line connecting the places where two Circles cross will be perpendicular to the line connecting the centres of the Circles.
- A Circle’s tangents are created at the spots where the diameter and the Circle’s axis are perpendicular to one another.
- If two Circles contact at exactly one point, they are said to be Tangent Circles.
NCERT Solution for Hindi Chapter 10 वृत्त (Example, Easy Method and Step-by-Step Solutions)
Mentors of Extramarks carefully consider the complex nature of the chapter while crafting the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi to address the diverse needs of students. Each topic in Chapter 10 of Class 10 Mathematics NCERT textbook has been explained in detail in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi offered by Extramarks. The concepts covered in Class 10 Maths Chapter 10 of the NCERT textbook may initially seem quite challenging to understand, but eventually, with the help of the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi students can get a good grasp of all the crucial concepts explained in the chapter. Dueto the easy and simple language used in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi, students can better retain the ideas and concepts of the Class 10 Maths Chapter 10 in Hindi.
Mathematics is both one of the most versatile and one of the highest-scoring subjects. To achieve their desired objective of securing maximum marks in Mathematics, students must completely practise and master the concepts of various chapters enclosed in the NCERT textbook like Real Numbers, Pair of Linear Equations in Two Variables, Trigonometry etc. Students can find the NCERT Solutions for the aforementioned topics on the Extramarks website and learning application.
Circles are the topic of Chapter 10 of the NCERT textbook for Class 10. One of the most significant chapters in Geometry and Construction is “Circles.” The first activity in Class 10 Maths Hindi Chapter 10, Exercise 10.1 for Class 10 Mathematics, is based on the fundamental ideas of Circles, such as non-intersecting lines, tangents, and secants of Circles. Students can use the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi available on the Extramarks website and learning application to efficiently solve problems associated with these themes and clarify any issues they might have in the Maths Chapter 10 Class 10 Hindi.
The proficient teachers of Extramarks who have created the NCERT Class 10 Maths Chapter 10 in Hindi have an in-depth understanding of every concept related to Circles. The NCERT Solutions For Class 10 Maths Chapter 10 In Hindi have been compiled through the painstaking efforts of remarkably skilled translators to ensure content which is free of linguistic or grammatical errors. Students may find precise and easy-to-understand answers to all of the problems in the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi. The PDF version of the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi can be saved by the students, and they can access it whenever they need assistance with the chapter.
Students should thoroughly prepare all the topics in order to get high scores on the CBSE Class 10 Mathematics examination. The best method to comprehend a mathematical topic is to become familiar with its foundational ideas and key formulas, as well as to practise a significant number of questions related to it. Students would benefit from practising NCERT Solutions For Class 10 Maths Chapter 10 In Hindi not just for their board examinations but also for the competitive examinations they take after graduating from school.
All of the NCERT exercise questions should be practised by students using the excellent NCERT Solutions For Class 10 Maths Chapter 10 In Hindi created by the subject matter specialists of Extramarks. The NCERT Solutions for Class 10 Maths Chapter 10 in Hindi based on Circles also have a PDF version that can be downloaded via the Extramarks website and mobile app.
Circles is a fundamentally important theme in the Class 10 Mathematics NCERT Book. A Circle is made up of all points in a plane that are spaced out from its centre by a predetermined amount (called a radius). Students in the 10th grade are already familiar with the basic ideas behind Circles, such as the chord, segment, sector, and arc. Non-intersecting lines, secants, and tangents to Circles are the subtopics encapsulated in Circles that can be accessed and studied in detail withthe assistance of NCERT Solutions For Class 10 Maths Chapter 10 In Hindi.
Circles could seem a little perplexing in the beginning. However, as students continue to practise mathematical problems based on Circles, it gets easier for them to find the solutions and perform well on tests. Before beginning to solve problems, students can also use the instructional and interactive videos provided on Extramarks to better comprehend the ideas.
For every question in the Class 10 Mathematics textbook, solutions are provided on Extramarks in accordance with the most recent syllabus. To get notable results on the tests, students can access the NCERT Solutions For Class 10 Maths Chapter 10 In Hindi on Extramarks. For a thorough grasp of the subject, Extramarks additionally provides 3D Videos, NCERT Exemplars, Extramarks Explainers, etc. in addition to the NCERT solutions.
FAQs (Frequently Asked Questions)
1. How should Class 10 Mathematics Circles exercises be completed?
Students should always practice framing answers to the exercise questions themselves. This will aid in their comprehension of the ideas involved in problem-solving. Students can read the solutions on the Extramarks website and mobile application if they face hindrances while solving different types of questions.
2. How many examples and questions are included in Class 10 Mathematics Exercise 10.2?
Exercise 10.2 of Chapter 10 of Mathematics Class 10 has 13 exercise questions and 3 solved examples.