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A circular pond is on diameter 17.5m. It is surrounded by a 2m wide path. Find the cost of constructing the path at the rate of Rs. 25 per square metre.

From a thin metallic piece, in the shape of a trapezium ABCD, in which `A B||C Da n d/_B C D=90^0` , a quarter circle BEFC is removed (see figure). Given AB=BC=3.5cm and DE=2cm, calculate the area of the remaining piece of the metal sheet.

In Figure, ABC is an equilateral triangle of side 8cm. A, B and C are the centres of circular arcs of radius 4cm. Find the area of the shaded region correct upto 2 decimal places.

In figure, find the area of the shaded region `[U s epi=3. 14]`

Find to the three places of decimal the radius of the circle whose area is the sum of the areas of two triangles whose sides are 35, 53, 66 and 33, 56, 65 measured in centimetres.

The mathematics book by R.D. Sharma is exceedingly popular amongst the CBSE Class 10 students preparing for Class 10 board exams. It is a must to follow book for all those who wish to score full-on-full in mathematics. The Mathematics book by RD Sharma is highly informative with an over-generous variety of illustrative examples as well as thousands of practice exercises that come handy while preparing for competitive exams.

Doubtnut experts have prepared the chapter-wise RD Sharma Class 10 Solutions. The videos are filled with remarkable math shortcuts and tips to help you perform calculations quickly and easily. These videos tutorials offer easy to understand step-by-step Math concepts making it easier for you to excel in the examination.

The given video tutorials are based on the latest CBSE syllabus while following the latest version of the R.D. Sharma book, which incorporates the CCE guidelines. Doubtnut has provided RD Sharma Class 10 Solutions in a chapter-wise fashion to make navigation easier for the students. Besides following the customary methods of solving a problem, the expert mathematicians from doubtnut have also added suggestions and alternative ways of meeting the answer that will make you fall in love with the subject. Make sure to go through these RD Sharma Class 10 Math Solutions thoroughly.

The RD Sharma chapter-wise solutions for Class 10 maths are based on the topics present in the latest CBSE syllabus so that the class 10 students study only relevant topics and concepts for the board exams. These RD Sharma solutions will help the students to revise the topics before CBSE 10th board exam quickly. The students will be well versed with different difficulty levels of questions present in the RD Sharma Class 10 Solutions. Below you can find the brief details of each RD Sharma Class 10 chapter.

**Important Books for Maths**

This chapter of RD Sharma class 10 Real numbers, has a total of 166 questions with solutions. Here the topics covered are:

- Concept of Irrational Numbers
- Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic
- Fundamental Theorem of Arithmetic Motivating Through Examples,
- Introduction of Real Numbers, Proofs of Irrationality
- Real Numbers Examples and Solutions
- Revisiting Rational Numbers and Their Decimal Expansions

**RD Sharma Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 1 Exercise 1.1

RD Sharma Class 10 Maths Chapter 1 Exercise 1.2

RD Sharma Class 10 Maths Chapter 1 Exercise 1.3

RD Sharma Class 10 Maths Chapter 1 Exercise 1.4

RD Sharma Class 10 Maths Chapter 1 Exercise 1.5

RD Sharma Class 10 Maths Chapter 1 Exercise 1.6

This chapter will focus on the concept of Polynomials. RD Sharma Class 10 Chapter 2 polynomials have a total of 129 questions with solutions. The topics included in chapter 2 of class 10 maths are:

- Division Algorithm for Polynomials
- Relationship Between Zeroes and Coefficients of quadratic polynomial
- Geometrical Meaning of the Zeroes of a Polynomial

**RD Sharma Solutions for Class 10 Maths Chapter 2 Polynomials Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 2 Exercise 2.1

RD Sharma Class 10 Maths Chapter 2 Exercise 2.2

RD Sharma Class 10 Maths Chapter 2 Exercise 2.3

In this chapter, students will learn the concept of the Pair of Linear Equations and the graphical method to find their solution. RD Sharma Class 10 Maths Chapter 3 Pair of Linear Equations in two variable has a total of 224 questions with solutions. The topics covered in this chapter include:

- Algebraic Conditions for Number of Solutions
- Consistency of Pair of Linear Equations
- Cramer's Rule
- Determinant of Order Two
- Elimination Method
- Substitution Method
- Graphical method to solve pair of Linear Equations
- Linear Equations in Two Variables Applications
- Inconsistency of Pair of Linear Equations
- Relation Between Coefficients

**RD Sharma Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 3 Exercise 3.1

RD Sharma Class 10 Maths Chapter 3 Exercise 3.2

RD Sharma Class 10 Maths Chapter 3 Exercise 3.3

RD Sharma Class 10 Maths Chapter 3 Exercise 3.4

RD Sharma Class 10 Maths Chapter 3 Exercise 3.5

RD Sharma Class 10 Maths Chapter 3 Exercise 3.6

RD Sharma Class 10 Maths Chapter 3 Exercise 3.7

RD Sharma Class 10 Maths Chapter 3 Exercise 3.8

RD Sharma Class 10 Maths Chapter 3 Exercise 3.9

RD Sharma Class 10 Maths Chapter 3 Exercise 3.10

RD Sharma Class 10 Maths Chapter 3 Exercise 3.11

In RD Sharma class 10 maths chapter Triangles, students will come across different properties of triangles and solve problems on the same. The topics covered in this chapter 4 of class 10 maths include:

- Pythagoras Theorem applications
- Conditions for Similarity of Triangles
- Areas of Similar Triangles
- Properties of Ratios of Areas of Two Triangles
- Property of three parallel lines and their transversals

**RD Sharma Solutions for Class 10 Maths Chapter 4 Triangles Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 4 Exercise 4.1

RD Sharma Class 10 Maths Chapter 4 Exercise 4.2

RD Sharma Class 10 Maths Chapter 4 Exercise 4.3

RD Sharma Class 10 Maths Chapter 4 Exercise 4.4

RD Sharma Class 10 Maths Chapter 4 Exercise 4.5

RD Sharma Class 10 Maths Chapter 4 Exercise 4.6

RD Sharma Class 10 Maths Chapter 4 Exercise 4.7

RD Sharma Class 10 Chapter trigonometric ratios will cover the concept of trigonometric ratios and the relation between them. The topics included in the chapter trigonometric ratios are:

- Trigonometric Ratios
- Relationships Between the Trigonometric Ratios
- Trigonometric Ratios in Terms of Coordinates of Point
- Trigonometric Ratios of Some Special Angles
- Trigonometry Ratio of Zero Degree

**RD Sharma Solutions for Class 10 Maths Chapter 5 Trigonometric Ratios Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 5 Exercise 5.1

RD Sharma Class 10 Maths Chapter 5 Exercise 5.2

RD Sharma Class 10 Maths Chapter 5 Exercise 5.3

RD Sharma Solutions for Class 10 Maths Chapter 6 Trigonometric Identities is the continuation of the previous chapter. Here, students will be taught the concept of Trigonometric Identities.

**RD Sharma Solutions for Class 10 Maths Chapter 6 Trigonometric Identities Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 6 Exercise 6.1

RD Sharma Class 10 Maths Chapter 6 Exercise 6.2

The chapter RD Sharma Class 10 Statistics. Chapter 7 includes the topics such as:

- Relation Between Measures of Central Tendency
- Tabulation of Data
- Graphical Representation of Data
- Pie Graph
- Histogram
- Mean of Grouped Data
- Median of Grouped Data
- Mode of Grouped Data
- Frequency Distribution

**RD Sharma Solutions for Class 10 Maths Chapter 7 Statistics Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 7 Exercise 7.1

RD Sharma Class 10 Maths Chapter 7 Exercise 7.2

RD Sharma Class 10 Maths Chapter 7 Exercise 7.3

RD Sharma Class 10 Maths Chapter 7 Exercise 7.4

RD Sharma Class 10 Maths Chapter 7 Exercise 7.5

RD Sharma Class 10 Maths Chapter 7 Exercise 7.6

RD Sharma Solutions for Class 10 Quadratic Equations and applications of quadratic equations. The general form of a quadratic equation is ax^{2} + bx + c = 0. The topics covered in Chapter 8 Quadratic Equations are:

- Formula for Solving a Quadratic Equation
- Nature of Roots
- Relation Between Roots and Coefficient of the Terms in the Equation
- Relationship Between Discriminant and Nature of Roots
- Roots of a Quadratic Equation
- Problems Based on Quadratic Equations Real-life Applications
- Solutions of Quadratic Equations by Factorization method

**RD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic Equations Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 8 Exercise 8.1

RD Sharma Class 10 Maths Chapter 8 Exercise 8.2

RD Sharma Class 10 Maths Chapter 8 Exercise 8.3

RD Sharma Class 10 Maths Chapter 8 Exercise 8.4

RD Sharma Class 10 Maths Chapter 8 Exercise 8.5

RD Sharma Class 10 Maths Chapter 8 Exercise 8.6

RD Sharma Class 10 Maths Chapter 8 Exercise 8.7

RD Sharma Class 10 Maths Chapter 8 Exercise 8.8

RD Sharma Class 10 Maths Chapter 8 Exercise 8.9

RD Sharma Class 10 Maths Chapter 8 Exercise 8.10

RD Sharma Class 10 Maths Chapter 8 Exercise 8.11

RD Sharma Class 10 Maths Chapter 8 Exercise 8.12

RD Sharma Class 10 Maths Chapter 8 Exercise 8.13

RD Sharma Solutions for Class 10 Arithmetic Progression, students will be introduced to the concept of arithmetic progression. Here students will come across the following topics:

Arithmetic Mean - Raw Data

- Introduction to Sequence
- Derivation of the n th Term
- Arithemetic Progression (AP)
- General Term of an AP
- nth Term of an AP
- Sum of First ‘N’ Terms of an AP
- Geometric Mean
- Geometric Progression (GP)
- Sum of the First 'N' Terms of a GP

**RD Sharma Solutions for Class 10 Maths Chapter 9 Arithmetic Progression Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 9 Exercise 9.1

RD Sharma Class 10 Maths Chapter 9 Exercise 9.2

RD Sharma Class 10 Maths Chapter 9 Exercise 9.3

RD Sharma Class 10 Maths Chapter 9 Exercise 9.4

RD Sharma Class 10 Maths Chapter 9 Exercise 9.5

RD Sharma Class 10 Maths Chapter 9 Exercise 9.6

RD Sharma Solutions for Class 10 Maths Chapter 10 Circles .This chapter circles of class 10 maths is very important from an exam point of view. Chapter 10 of class 10 maths has a total of 61 questions. The topics covered in this chapter are:

- Concept of circles
- Cyclic Quadrilateral
- Introduction to an Arc
- Property of Sum of Measures of Arcs
- Tangent to a Circle
- Tangents and Its Properties
- Tangent - Secant Theorem
- Tangent Segment Theorem
- Theorem of Angle Between Tangent and Secant
- Theorem of External Division of Chords
- Theorem of Internal Division of Chords
- Touching Circles

**RD Sharma Solutions for Class 10 Maths Chapter 10 Circles Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 10 Exercise 10.1

RD Sharma Class 10 Maths Chapter 10 Exercise 10.2

RD Sharma Solutions for Class 10 Maths Chapter 11 Constructions.** **In this chapter, students will learn constructions of geometric figures. The chapter Constructions of class 10 maths has a total of 29 questions. Topics covered in RD Sharma Class 10 maths chapter 11 are:

- Construction of Tangents to a Circle
- Construction of Tangent to the Circle from the Point on the Circle
- Construction of Tangent Without Using Centre of the circle
- Construction of Triangle to a given similar triangle
- Construction of Tangents to a Circle from a Point Outside the Circle

RD Sharma Solutions for Class 10 Some Applications of Trigonometry. The chapter 12 of class 10 maths deals with the application of trigonometric functions and identities. This RD Sharma chapter 12 has a total of 110 questions. The concepts covered here are:

- Angles in Standard Position
- Trigonometric applications to determine Heights and Distances

**RD Sharma Solutions for Class 10 Maths Chapter 12 Some Applications of Trigonometry Exercise-wise Solutions **

- RD Sharma Class 10 Maths Chapter 10 Exercise 12.1

RD Sharma Solutions for Class 10 Maths Probability. This RD Sharma chapter 13 consists of two exercises. Probability is the likelihood of an event to occur. The topics covered in this chapter are:

- Basic Ideas of Probability
- Properties of Probability
- Sample Space
- Probability of an Event
- Single event problems
- Type of Event - Exhaustive
- Type of Event - Complementary
- Type of Event – Exclusive
- Type of Event – Elementary
- Random Experiments

**RD Sharma Solutions for Class 10 Maths Chapter 13 Probability Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 13 Exercise 13.1

RD Sharma Class 10 Maths Chapter 13 Exercise 13.2

RD Sharma Solutions for Class 10 Co-Ordinate Geometry. In this chapter 14 of Class 10 Maths, students will learn the concept of co-ordinate geometry. This chapter has 5 exercises. Here students will solve problems on section formula, which is used to find the ratio in which a line segment is divided by a point externally or internally. The topics covered in this Class 10 maths chapter Co-ordinate Geometry are:

- Rectangular co-ordinates
- Distance Formula
- Standard Forms of Equation of a Line
- Sections Formulae
- Slope of a Line
- area of triangle and quadrilateral
- The Mid-point of a Line Segment
- Division of a Line Segment
- Collinearity of points

**RD Sharma Solutions for Class 10 Maths Chapter 14 Co-Ordinate Geometry Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 14 Exercise 14.1

RD Sharma Class 10 Maths Chapter 14 Exercise 14.2

RD Sharma Class 10 Maths Chapter 14 Exercise 14.3

RD Sharma Class 10 Maths Chapter 14 Exercise 14.4

RD Sharma Class 10 Maths Chapter 14 Exercise 14.5

RD Sharma Solutions for Class 10 Areas Related to Circles. This chapter deals with determining the area of circular regions, i.e., sector and segment of a circle. The sector of the circle is a part of the circle made of arc of the circle between its two radii. A segment of the circle is the area of sector minus the triangle formed by its two radii. This chapter contains four exercises.

The topics covered in this chapter are:

- Area of Circle
- Areas of Combinations of Plane Figures
- Areas of Sector of a Circle
- Areas of Segment of a Circle

**RD Sharma Solutions for Class 10 Maths Chapter 15 Areas Related to Circles Exercise-wise Solutions **

RD Sharma Class 10 Maths Chapter 15 Exercise 15.1

RD Sharma Class 10 Maths Chapter 15 Exercise 15.2

RD Sharma Class 10 Maths Chapter 15 Exercise 15.3

RD Sharma Class 10 Maths Chapter 15 Exercise 15.4

In the RD Sharma chapter Surface Areas and Volumes, students will solve problems on the surface areas and volume of a combination of two or more solid figures like a cube, cuboid, spheres, hemispheres. Cones, and right circular cylinders. Problems on the conversion of one of these solid figures into another will also be included. This chapter comprises of 3 exercises. The topics covered in Chapter 16 Surface Areas and Volumes are:

- Surface Area, Volume, and Capacity
- Conversion of Solid from One Geometrical Shape to Another
- Surface Area of a Combination of Solids
- Volume of a Combination of Solids

**RD Sharma Solutions for Class 10 Maths Chapter 16 Surface Areas and Volumes Exercise-wise Solutions**

RD Sharma Class 10 Maths Chapter 16 Exercise 16.1

RD Sharma Class 10 Maths Chapter 16 Exercise 16.2

RD Sharma Class 10 Maths Chapter 16 Exercise 16.3

The 10th standard is one of the most important stages in a student’s life.The RD Sharma class, 10 Maths textbook, is based on the latest syllabus prescribed by the Central Board of Secondary Education (CBSE) i.e. CCE guidelines. The RD Sharma books are designed for CBSE board class 10 students. Class 10 is one of the most important stages where students have to pass through their board exams. RD Sharma Solutions are given here to help the students understand the basic concepts in a detailed way. These solutions are arranged chapter-wise, which will help in better learning and understanding. Our Math experts designed all the solutions as per the CBSE guidelines following up the latest version of the RD Sharma Maths book.

Our Solutions can be used to help students understand answers to the important and relevant questions asked in the examination. Maths is a scoring subject and it will come through regular practice with full dedication. So Practise is one of the best method to score good marks in examinations.

Students should practise CBSE class 10 boards previous year Math question paper along with the questions of the given textbook and then analyze the solutions by comparing the solutions with the solutions given in the video, which will help them to develop the problem-solving skills and boost the level of confidence.

Doubtnut provides Class 10 RD Sharma solutions to all the questions in a step-by-step manner given in the RD Sharma textbooks. Our subject matter experts have curated the Class 10 maths solutions for ease of learning of Class 10 Students. The RD Sharma solutions on Doubtnut will help you solve all the questions of RD Sharma Class 10 Maths textbook without any problems.

Free RD Sharma Class 10 Maths Solutions by Doubtnut help students in understanding the complex concepts to answer perfectly in board exams. All the RD Sharma Class 10 chapters have been systematically broken down for fast learning and easy retention. Students can resolve their doubts through our detailed RD Sharma Maths video solutions for class 10.

Doubtnut Maths video solutions will also help them to analyze the pattern of solving questions. Here is the list of top 5 important chapters of RD SHARMA Maths Solutions for Class 10.

(i) All video solutions are in Hinglish (Hindi-English).

(ii) Complete CBSE Class 10 RD Sharma Solutions.

(iii) Fully solved exercises of RD Sharma Class 12 Math textbook.

(iv) Strictly as per the CBSE examination guidelines.

(v) Solutions are as per the CBSE marking scheme.

(vi) A detailed step-by-step explanation for every question given in RD Sharma Class 10 Mathematics book.

(vii) Video tutorials showcasing alternative ways to meet the answer along with a brief summary on concepts and formulae applied.

(viii) The questions have been answered by the IITians and best mathematicians of the country.

(ix) Videos are full of tips and tricks to help you gain the competitive edge to ace the board examination.

(x) Diagrams are given to help the students in visualizing the solutions

Doubtnut is popular amongst CBSE students as the most reliable and preferred online learning website. Given here are all the 16 chapters prepared by our IITians and expert mathematicians. These tutorials are based on CBSE marking scheme. These RD Sharma video tutorials are prepared to keep in mind the latest CBSE board curriculum and exact syllabus. These will assist you in knowing the latest exam pattern and marks distribution. To boost your preparation, get started today!

Doubtnut is India’s leading e-learning destination offering CBSE students complete CBSE Class 10 RD Sharma Solutions in easy to understand video tutorial format. Our aim is to help student score best grades in board examination and in competitive exams. With our RD Sharma Class 10 Solutions, you can study digitally on the go, either on your mobile or personal computer.

**Question: Is RD Sharma Solutions good for Class 10 Maths board exam?**

RD Sharma Solutions provides a comprehensive idea of a concept with a large number of solved examples and unsolved problems to practise. Students practising RD Sharma solutions for Class 10 will perform better in board exams and it will also help in further studies to establish a strong foundation in Maths.

**Question: Where can I get Free RD Sharma Solutions for Class 10 Maths?**

Doubtnut provides free RD Sharma Solutions for Class 10 Maths for students to practice and prepare for their boards exam. The Solutions are provided in video format that are prepared by our subject matter experts in a simple and effective manner.

**Question: How can I score top marks in class 10 maths in board exams?**

Maths is considered the toughest subject in academics due to complex problems based on formulae that require rigorous practice. Students can clear their doubts and reduce their anxiety before by our video solutions which are prepared in simple and easy language for better understanding of the student. On top of it, these video solutions are provided by doubtnut for free so that learning never stops. Class 10 maths board exam will no more be a scary figure for students when they have access to our maths video solutions.