NCERT Solutions Class 10 Maths Chapter 12 Areas Related to Circles
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles covers concepts such as the area and perimeter of polygons, circles, segments, and sectors. In real life, we come across several shapes such as a cycle wheel, bangles, brooches, etc., that are circular in nature. To appropriately use these figures we must know how to accurately calculate their area and perimeter. The questions based on these topics are designed by subject experts to give kids a holistic learning experience. NCERT solutions class for 10 maths Chapter 12 consists of different types of problems to help children understand the most efficient way of performing such calculations. We will be covering each of these sections in this article.
Students have already studied circles in detail in the previous chapter, along with other important concepts such as tangents, triangles, and areas of different shapes. In this lesson, these concepts are built on further with the help of activities and examples to show kids how to apply them to daily life problems. With the help of Class 10 Maths NCERT Solutions Chapter 12, students will now explore the areas of combinational figures, thus making math more interesting and giving them an in-depth outlook of the subject. Let us now do a complete analysis of NCERT Solutions Chapter 12 Areas Related to Circles with the help of this article and also you can find some of these in the exercises given below.
- NCERT Solutions Class 10 maths chapter 12 Ex 12.1
- NCERT Solutions Class 10 maths chapter 12 Ex 12.2
- NCERT Solutions Class 10 maths chapter 12 Ex 12.3
NCERT Solutions for Class 10 Maths Chapter 12 PDF
In the NCERT solutions Class 10 maths Chapter 12 kids are exposed to questions that involve the use of different shapes. Thus, this chapter first teaches students how to find the various parameters of circles, polygons, arcs, segments, etc., and then helps them understand how to combine these concepts in order to attempt questions. The chapter starts with a review to help children recall topics that they have already studied and seamlessly integrates newer subject matter. The complete NCERT solutions class 10 maths chapter 12 explanations can be accessed using the links given below.
☛ Download Class 10 Maths NCERT Solutions Chapter 12
NCERT Class 10 Maths Chapter 12
NCERT Solutions for Class 10 Maths Chapter 12
The subtopics included in this chapter not only helps students get a 360-degree insight into the topic but also helps them understand the practical implications of such theories. All industries, especially architecture heavily use this lesson to build strong and aesthetically appealing structures. As the concepts covered in the NCERT Solutions Class 10 Maths Chapter 12 Areas Related to Circles are required to solve many other geometrical problems it is highly advised to revisit these links periodically so as to instill and recall topics as well as formulas within seconds. The comprehensive exercise-wise analysis of this chapter is given below:
- Class 10 Maths Chapter 12 Ex 12.1 - 5 Questions
- Class 10 Maths Chapter 12 Ex 12.2 - 14 Questions
- Class 10 Maths Chapter 12 Ex 12.3 - 16 Questions
Topics Covered: Class 10 Maths NCERT Solutions Chapter 12 covers various topics such as the perimeter and area of a circle, area of sector and segment of a circle, and areas of a combination of plane figures. A lot of questions in this chapter are based on the division of circles, and the angle that is subtended by equally dividing the arc.
Total Questions: Class 10 maths chapter 12 Areas Related to Circles consists of a total of 35 questions, of which 15 are easy, 10 are moderately challenging, while the other 10 problems require students to brainstorm and think logically.
List of Formulas in NCERT Solutions Class 10 Maths Chapter 12
NCERT solutions class 10 Maths Chapter 12 is based on various geometrical figures and their concepts with a key focus on circles. There are a lot of important formulas in this chapter. Certain terms related to circles will always make their way in these formulas such as r that denotes the radius of the circle, d is the diameter, and π is a constant that can assume the value 3.14 or 22/7. Students can choose this value at their own discretion depending upon what will help them solve the question with speed and accuracy. As an added note these formulas are further used in determining the surface area and volumes of 3D figures such as a cylinder or sphere. Thus, they are essential especially from a board exam perspective, and remembering them is a must! Let us now go through some of the important formulas from this chapter.
- Circumference of a circle= 2πr
- Area of a circle= πr2
- Length of the arc of the sector with degree measure and radius r = (θ/360)2πr
- Area of sector with degree measure θ and radius r = (θ/360)πr2
- Area of a segment of a circle= Area of the corresponding sector - Area of Corresponding Triangle
FAQs on NCERT Solutions Class 10 Maths Chapter 12
Why are NCERT Solutions Class 10 Maths Chapter 12 important?
NCERT Solutions Class 10 Maths Chapter 12 provides an explanation to all the NCERT textbook questions. These have been created by geniuses in the field of Mathematics and ensures the complete development of a child. These NCERT solutions act as a reference when students want to cross-check their answers or tally their steps to the solutions. They also come with a list of tips that can help kids ace their board exams.
What are the Important Formulas in NCERT Solutions class 10 maths chapter 12?
NCERT Solutions Class 10 Maths Chapter 12 has important formulas related to the combinations of shapes. Some of the essential ones covered in this chapter are the circumference of a circle, area of a circle, area of sector, length of the arc, and area of a segment of a circle. All the questions in this chapter can be easily solved by applying these formulas. Hence, students must remember them and practice a bunch of questions so as to understand their application.
What are the Important Topics Covered in NCERT Solutions for class 10 maths chapter 12?
All the topics covered in the NCERT Solutions Class 10 Maths Chapter 12 deal with the different aspects related to a circle. Even though there are some concepts such as the circumference of a circle that students have been introduced to in previous classes, however, the questions based on the same that are available in this chapter are remarkably complex. Thus, kids have to allot a good and equal amount of time in studying all of them.
How Many Questions are there in NCERT Solutions class 10 maths chapter 12 Areas Related to Circles?
NCERT Solutions Class 10 Maths Chapter 12 Areas Related to Circles features a total of 35 questions that have been divided among 3 exercises. These are wide-ranging problems that go from easy to complex, giving kids an idea of the kinds of questions that can appear on an examination. The concepts outlined in this chapter are also supported by various activities that will help students develop a practical understanding of them.
How the CBSE students can utilize NCERT Solutions class 10 maths chapter 12 effectively?
Since the NCERT solutions are detailed, students can use these to strengthen their conceptual understanding of the topic. In order to fully utilize the NCERT Solutions Class 10 Maths Chapter 12, students must first go through all the solved examples and then move on to practicing each exercise. It is imperative to consult these solutions as they give a precise way of presenting answers that can help young minds score well in their board exams.
Do I Need to Practice all Questions Provided in Class 10 Maths NCERT Solutions Areas Related to Circles?
Students are advised to go through all the questions present in the NCERT Solutions Class 10 Maths Chapter 12 Areas Related to Circles as they cover distinct topics from the lesson. These questions are specially designed to simulate a child’s logical and computational thinking. By attempting these solutions students will be well-versed with the subject matter and getting excellent marks in board exams will be like a cakewalk.