Class 10 Maths Chapter 12, titled “Areas Related to Circles”, covers important concepts related to calculating the area and perimeter of circles, sectors, and segments. The chapter also includes practice exercises that will help students understand these concepts better.
Topics and Subtopics in Chapter 12: Areas Related to Circles
Section Name | Topic Name |
---|---|
12 | Areas Related to Circles |
12.1 | Introduction to Areas Related to Circles |
12.2 | Perimeter and Area of a Circle – A Review |
12.3 | Areas of Sector and Segment of a Circle |
12.4 | Areas of Combinations of Plane Figures |
12.5 | Summary and Recap of Key Concepts |
Solutions for All Exercises in Chapter 12: Areas Related to Circles
Exercise 12.1: Introduction to Areas Related to Circles
- Concepts Covered: This exercise introduces basic concepts about the circle, including the area and perimeter (circumference). You will learn the formulas for the area of a circle (A = πr²) and the perimeter (C = 2πr), where “r” is the radius of the circle.
Exercise 12.2: Perimeter and Area of a Circle – A Review
- Concepts Covered: This section revises the formula for the perimeter (circumference) and area of a circle, using them to solve real-life problems. It also includes examples of finding the area and perimeter when other related parameters, such as diameter or radius, are given.
Exercise 12.3: Areas of Sector and Segment of a Circle
- Concepts Covered: This exercise delves into calculating the areas of sectors and segments. You will learn how to find the area of a sector (A = (θ/360) × πr²) and a segment of a circle. The segment area involves subtracting the area of the triangle from the area of the sector.
Exercise 12.4: Areas of Combinations of Plane Figures
- Concepts Covered: In this section, you will work on problems that involve combining different plane figures such as circles, sectors, and triangles. You will calculate the area of these combinations by applying the appropriate formulas for each shape.
Exercise 12.5: Extra Questions and Practice Problems
- Concepts Covered: This section provides additional practice problems to help reinforce your understanding of the chapter. You will apply all the formulas and concepts learned in previous exercises to solve real-life problems.
Download the Solutions PDF
For your convenience, NCERT Solutions for Class 10 Maths Chapter 12 are available in PDF format. You can download the PDF to access all the step-by-step solutions for the exercises:
ch12-1NCERT Solutions for Class 10 Maths
CBSE NCERT Solutions for Class 10 Maths in PDF form to free download or use online for Gujarat Board, UP Board, MP Board, CBSE, KSEEB, Kerala and other board following NCERT books.
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 5 Arithmetic Progressions
- Chapter 6 Triangles
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 9 Some Applications of Trigonometry
- Chapter 10 Circles
- Chapter 11 Constructions
- Chapter 12 Areas Related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
This post provides all the necessary details and solutions to help you understand and master the concepts of areas related to circles. Don’t forget to practice the exercises thoroughly for a solid grasp of the topic!