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# NCERT Books for Class 10 Maths Chapter 12 - Areas Related to Circles - Free PDF Download

Last updated date: 09th Aug 2024
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## Class 10 Maths NCERT Book Chapter 12

Free NCERT Books download for CBSE class 10 Maths Chapter 12 - Areas Related to Circles on Vedantu. Students can also download the NCERT Book Solutions in PDF for class 10 Maths. Register for Maths tuition to clear your doubts and score more in your exams. Register Online for Class 10 Science tuition on Vedantu to score more marks in the CBSE board examination.

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NCERT Books for Class 10 Maths Chapter 12 - Areas Related to Circles - Free PDF Download
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## Topics discussed in Chapter 12 Areas Related To Circles of NCERT for class 10 Mathematics

This chapter covers topics on areas related to circles.

• The first topic of this chapter talks about:

The area of A circle can be calculated with circumference divided by its radius.

• The second topic revolves around:

Its area increases with the number of concentric circles drawn around it.

That means that an area enclosed by three concentric, like a triangle (with sides), would require 3 times as much area as an area enclosed by two concentric, like a rectangle or a square.

• The third topic focuses on:

For three concentric, it would require 2.8 times as much area as for two concentric. For four concentric, it would require 3.7 times as much area as for two concentric and so on.

where formula_3 = perimeter and r = radius.

where r is the radius of a circle with a perimeter of a, and formula_6 is its circumference.

Area of a circle: formula_7 = formula_8a(plural)

where a is the radius of a circle with a perimeter of p.

Area of a circle: formula_9 = (area of the triangle with sides p and r) × (area of the triangle with sides r and s)

where formula_10, and formula_11 is the area of an equilateral triangle. The area of an equilateral triangle is half the sum of the areas of the two equal triangles contained within it.

### Tips to prepare for Chapter 12 Areas Related To Circles of NCERT for class 10 Mathematics

Chapter 12 is mainly about the areas related to circles and how they work and certain things that increase the area of a circle.

• Here are a few ways to prepare for this chapter:

• First of all, look at the previous chapter and go through the important formulas like Area of a Parallelogram, Area of a Triangle, etc. You can also go through areas related to trapeziums and parallelograms.

• Take an area chart. Study it properly.

• Keep on revising these areas regularly to clear this chapter easily.

• You can try to solve this question by just writing down the formula and calculating. Once you have a good idea of how to work it, try solving the questions in a more time-bound way.

• You can keep on revising these chapters till Chapter 11, then start going for new topics again. You must go through previous things, again and again, to clear your doubts before moving on to new stuff.

• You can look at some more practical problems of Circles, Parallelograms and triangles.

• You can also try solving these problems by just writing down the formula and calculating. Once you have a good idea of how to work it, try solving the questions in a more time-bound way.

## FAQs on NCERT Books for Class 10 Maths Chapter 12 - Areas Related to Circles - Free PDF Download

1. How to download the Class 10 Maths Chapter 12 NCERT Book for CBSE?

2. Where can I find the Class 10 Maths Chapter 12 NCERT Book for CBSE?

Students can easily access the Class 10 Maths Chapter 12 NCERT Book for CBSE from Vedantu. We, at Vedantu, also provide solutions to Class 10 Maths Chapter 12 NCERT Book for CBSE. The solutions to Class 10 Maths Chapter 12 NCERT Book for CBSE are solved by the experts to help the learners in the best way possible. Class 10 Maths Chapter 12 NCERT Book for CBSE covers topics on areas related to circles. All one needs to do is simply visit the website of Vedantu or download the app from the Google Play Store.

3. Are solutions on Vedantu reliable?

Yes, the solutions on Vedantu are reliable. The answers are solved by the experts for the students to prepare well for the exams. Chapter 12 is mainly about the areas related to circles and how they work and certain things that increase the area of a circle. One of the tips to help study this chapter effectively include trying to solve these problems by just writing down the formula and calculating. Once you have a good idea of how to work it, try solving the questions in a more time-bound way.

4. Why should one browse through NCERT Books for Class 10 Maths Chapter 12?

NCERT books are put together by professional experts who sort these topics after careful consideration and understanding. Learners can self analyze the understanding gap with the help of NCERT Books for 10th Class Maths Chapter 12 and also attain more mastery on the concepts of Maths. One of the key tips to score in maths is to, first of all, look at the previous chapter and go through the important formulas like Area of a Parallelogram, Area of a Triangle, etc. You can also go through areas related to trapeziums and parallelograms.

5. What is the formula to find the area of an equilateral triangle?

The area of an equilateral triangle is half the sum of the areas of the two equal triangles contained within it. Problems from this chapter are inquired repeatedly in numerous competitive examinations. With slight knowledge of numerous terms used and the basics of circles and areas related to circles, one can effortlessly solve the difficulties related to this chapter. Moreover, learners can also refer to the NCERT solutions by Vedantu. Just try to keep on revising these areas regularly to clear this chapter easily.