NCERT Solutions for Class 10 Maths Chapter 12: Embibe
  • Written By Abhishek_verma
  • Last Modified 17-06-2022
  • Written By Abhishek_verma
  • Last Modified 17-06-2022

NCERT Solutions for Class 10 Maths Chapter 12- Download PDF

NCERT Solutions for Class 10 Maths Chapter 12: Students appearing for the Class 12 board exam should start their preparation with NCERT textbooks. Textbook questions are important for the final exam. So, it becomes vital for students to solve and practice book questions. NCERT Class 10 Maths Chapter 12 solutions give intext questions and solutions for students to prepare for their board exams.

Students can find solutions to all the exercise questions in the Areas Related to Circles chapter on this page. Furthermore, they can find solutions for Class 10th Maths exercises 12.1, 12.2, 12.3, and so on. The solutions provided here will come in handy while solving book questions. Through NCERT solutions, students can learn concepts and methods of solving any questions. Thus, they can download the free NCERT Class 10 Maths Chapter 12 Solutions PDF from this article.

NCERT Solutions for Class 10 Maths Chapter 12: Preview

Here we have provided the overview of the exercises involved in Chapter 12 for grade 10. Exercise 12.1 Class 10th, and Exercise 12.2 Class 10th are some of the exercises involved in NCERT Solutions for Class 10 Chapter 12 Maths. Other exercises of ch 12 Maths Class 10 include exercise 12.3, exercise 12.4 and exercise 12.5. Moreover, before getting into the detailed CBSE Class 10 Maths Chapter 12 solutions, let us take a look at the sections and sub-sections of the chapter:

Section Name Topic Name
12.1Introduction
12.2Perimeter and Area of a Circle
12.3Areas of Sector and Segment of a circle
12.4Areas of Combination of Plane Figures
12.5Summary

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Students can check out the solved exercises for NCERT Class 10 Maths Chapter 12 Areas Related To Circles below. They can also download the CBSE Class 10 Maths Chapter 12 Solutions PDF to practice sums offline.

Q.4. The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour? use π=227
Solution:
Given, diameter of wheel of car =80 cm.
Therefore, radius (r) of wheel of car =802=40 cm.
Now, circumference of wheel =2πr=2π(40)=80π cm. Given speed of car =66 km/hr =66×10000060 cm/min =110000 cm/min
Distance travelled by car in 10 minutes = speed × time =110000×10=1100000 cm
Let number of revolutions of wheel of car is n.
n× distance travelled in 1 revolution (i.e. circumference) = distance traveled in 10 minutes. ⇒n×80π=1100000 ⇒n=1100000×780×22 ⇒=350008=4375 Therefore, each wheel of car will make 4375 revolutions.
Q.5. If the perimeter and the area of a circle are numerically equal, then the radius of the circle is (Use π=227). 2 units
Solution:
Let radius of circle be r
Circumference of circle =2πr
Area of circle =πr2
Given that circumference of circle and area of circle is equal. ⇒2πr=πr2 ⇒r=2
So, radius of circle will be 2 unit.

Download Class 10 Maths Chapter 12 NCERT Solutions

Chapter Description: Earlier, we learned that circles are specially ellipsed with a single constant radius around a centre. Circles and the various properties of circles, diameter, radius, area, and application in real life. Many objects that we encounter in our daily lives are circular like wheelbarrows, round cakes, drain covers, cycle wheels, brooches, bangles, etc. If the radius of the circle is known, then we can calculate the other parameters. With the help of such parameters, we can solve real-life problems.

In this chapter, “Areas Related to Circles”, we will learn how to find the area of different circular-shaped objects that we encounter in our daily life such as, painting a circular plate, finding the area of a circular field, etc. We can also calculate the area of some part of a circle (sector) by using their angle at the centre of the circle. Lastly, students will also learn to calculate the area of a combination of plane figures.

In our daily lives, we find many objects round or circular. Thus, knowing the areas related to circles is of great significance. Questions from this chapter are asked frequently in various competitive examinations. With a little understanding of various terms used and the basics of circles and areas related to circles, one can easily solve the problems related to this chapter. Moreover, students can also refer to the NCERT solutions by Embibe through the link given below. Students can download NCERT Solutions for Class 10 Maths Chapter 12 which involves Exercise 12.1, Exercise 12.2, Exercise 12.3, Exercise 12.4, and Exercise 12.5.

NCERT Solutions for Class 10 Maths Chapter 11NCERT Solutions for Class 10 Maths Chapter 13NCERT Solutions for Class 10 Maths (All Chapters)

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Benefits of Embibe’s NCERT Solutions for Class 10 Maths Chapter 12

The benefits of following NCERT Solutions by Embibe are provided below:

  1. These NCERT solutions are prepared by top academicians with decades of teaching experience and a better understand the topics.
  2. With the help of NCERT solutions related to the topic, students can easily learn how to determine the area and perimeter of a circle.
  3. The teachers have prepared Embibe’s NCERT solutions according to the latest revised CBSE syllabus and they have included answers to all the exercise questions given in the 10th Maths NCERT textbook.
  4. These NCERT solutions can be used as a quick reference and revision material before the tests or exams.
  5. Students can learn from these solutions and use them to complete their assignments and homework.
  6. The NCERT solutions by Embibe can also be used while preparing for competitive exams, Olympiads, etc.

Check all NCERT Class 10 Maths Chapter 12 Areas Related to Circles formulas on Embibe.

Practice 10th Maths Lessons and Questions with Embibe

We have now provided the students with the detailed CBSE NCERT Solutions For Class 10 Maths Chapter 12. Students can start solving the problems and also take care of their speed and accuracy. They should remember that solving sums by themselves with proper understanding will build their confidence and that will eventually turn things into fun. If students face any difficulty, they should refer to the NCERT solutions for Class 10 Maths Chapter 12 provided here. Besides that, students can also take Mock Tests on Areas Related To Circles on Embibe. This will build their confidence and help them to improve their conceptual knowledge and test-taking skills.

Free practise questions and mock tests for Math and Science can be found on Embibe. The questions and solutions are prepared by our academic specialists in accordance with the latest CBSE curriculum to help CBSE class 10th  students. Students can use these questions to prepare for the final exam. They can begin practising questions or taking tests by following the steps below:

Step 1: Go to embibe.com. Log in to your account with your credentials for the best experience. If this is your first time viewing the site, create an account.

Step 2: At the time of registration, you must choose your goal. Choose your board, such as “CBSE” and “10th CBSE,” and then click “Done.”

Step 3: At the top of the page, select “Practice” to practise questions for Class 10 CBSE. Click the “Test” option if you wish to take a practice test.

Pro Tip: Embibe offers interactive learning videos and topic-wise practice questions for the NCERT Solutions For Class 10 Maths. Through the world’s most intelligent AI-based educational platform we offer calibrated feedback based on your performance and guarantee improvement in days. Take our free mock test today.

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FAQs on NCERT Solutions for Class 10 Maths Chapter 12

Some of the frequently asked questions are given below:

Q.1: Calculate the radius of a children’s park whose area is equal to the sum of areas of two circular parks with given diameters of 16 m and 12 m.
Ans: The radius of the park is 10 m. 

Q.2: How are the areas of a circle and a square related if the circumference of the circle is equal to the perimeter of the square.
Ans:
If the circumference of the circle is equal to the perimeter of the square, then the area of the circle is more than the area of the square.

Q.3: There are two circles given with diameters of 36 cm and 20 cm. Calculate the radius of a circle whose circumference is equal to the sum of the circumferences of the given circles.
Ans: The radius of the circle is 28 cm.

Q.4: You are given a circle with a circumference of 22 cm. Determine the area of a quadrant of this circle.
Ans: The area of the quadrant is 9.6 cm2.

Q.5: You are given a square that can be inscribed inside a circle with a radius of 8 cm. Find the area of the square.
Ans:
The area of the square is 128 cm2.

Q.6: Will these solutions help me score good marks in my 10th CBSE exam?
Ans:
Practising the solutions of all the chapters will help students cover the entire syllabus and give them a good understanding of what might be asked on the exam. After that, they can take CBSE Class 10 Maths Mock Tests to boost their results even further.

Q.7: What is the best technique to memorise Class 10 Maths formulas?
Ans:
The best strategy is to learn the formulas first and then practice them on a regular basis. It would be beneficial if students are familiar with how the formulas are derived which will help them answer the questions based on such topics. The more students practice, the better they become at using formulas to solve problems.

Q.8: What are the benefits of using NCERT solutions?
Ans: The NCERT exercise questions cover nearly all of the concepts in each chapter. Some of them are not very simple. The answers assist the students in comprehending more challenging questions that may appear on the question paper of CBSE Class 10 exam. As a result, students must answer all of the practice questions.

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We hope this article on Areas Related To Circle Exercise solutions helps you. Stay tuned to Embibe for more on NCERT Solutions For Class 10 Maths.

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