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Areas Related to Circles Class 10th Notes - Free NCERT Class 10 Maths Chapter 12 Notes - Download PDF

Areas Related to Circles Class 10th Notes - Free NCERT Class 10 Maths Chapter 12 Notes - Download PDF

Edited By Ramraj Saini | Updated on Mar 19, 2022 01:08 PM IST

NCERT Class 10 Maths chapter 12 notes focus on concepts related to circles. CBSE Class 10 Maths chapter 12 notes help students to create a solid geometric foundation in preparation for higher classes and tests. Class 10 Maths chapter 12 notes will provide students with an overview of all of the important and essential topics, as well as highlight important points from the exam point of view. Students can use the following resources to learn more about any of the subjects covered in Class 10 areas related to circles.

This Story also Contains
  1. NCERT Class 10 Maths Chapter 12 Notes-
  2. NCERT Class 10 Maths Chapter 12 Notes: Topic 1
  3. Perimeter and Area of a Circle
  4. NCERT Class 10 Maths Chapter 12 Notes: Topic 2
  5. NCERT Class 10 Maths Chapter 12 Notes: Topic 3
  6. NCERT Class 10 Maths Chapter 12 Notes: Topic 4
  7. Area of Sector
  8. NCERT Class 10 Maths Chapter 12 Notes: Topic 5
  9. Area of a Segment
  10. Significance of NCERT Class 10 Maths Chapter 12 Notes
  11. Class 10 Chapter Wise Notes
  12. NCERT Solutions of Cass 10 Subject Wise
  13. NCERT Class 10 Exemplar Solutions for Other Subjects:

Also, students can refer,

NCERT Class 10 Maths Chapter 12 Notes-

NCERT Class 10 Maths Chapter 12 Notes: Topic 1

Perimeter and Area of a Circle

The perimeter of the circle is the outer boundary of the circle. Perimeter is also called the circumference.

Circumference=2πr

π=22/7 or 3.14

The circumference encloses a region, which is called the area.

Area=πr2

NCERT Class 10 Maths Chapter 12 Notes: Topic 2

Sector-

The sector is the area produced by an arc and the two radii connecting the arc's endpoints.

1644395621948

Minor sector: If the minor arc of the circle forms part of the sector's boundary, it is called a minor sector. Here OAB is the minor sector.<AOB is called the angle of the sector.

Major sector: If the major arc of the circle is part of the sector's boundaries, it is called a major sector. OBQA represents the major sector.

The angle of major sector=360-<AOP

NCERT Class 10 Maths Chapter 12 Notes: Topic 3

Segments

A segment of the circle is the area enclosed by an arc and a chord.

1644395621690

APB is called the minor segment and AQB is called the major segment.

NCERT Class 10 Maths Chapter 12 Notes: Topic 4

Area of Sector

1644395622186

Consider the sector OAPB. Let <AOP=θ

Area of the circle that is the area represented by 360o=πr2

On applying the unitary method

Therefore, the area represented by 1o=πr2/360

So area represented by θ=θ*πr2/360

Area of a sector of angle θ =θ*πr2/360

NCERT Class 10 Maths Chapter 12 Notes: Topic 5

Area of a Segment

1644395622373

Perimeter represented by 360o=2πr

On applying the unitary method we can conclude that

Length of a sector of angleθ = 2πrθ/360

Consider the segment APB

Area of the sector APB= Area of the sector OAPB – Area of Δ OAB

=(θ*πr2/360)- 0.5r2 sinθ

Significance of NCERT Class 10 Maths Chapter 12 Notes

Areas related to circles class 10 is based on the current CBSE Syllabus and give an overview of the chapter areas related to circles in Class 10. The goal of CBSE Class 10 Maths chapter 12 notes is to make learning and revising easier for students. Through NCERT Notes for the Class 10 chapter, students can learn about areas of sectors and segments. Class 10 areas related to circles notes includes the most important notes and formulas related to circles in the easiest way. Areas related to circles Class 10 notes assist students in quickly recalling points and achieving high exam results. Areas related to circles Class 10 pdf download is available for students to download and study on their own time. Class 10 Maths chapter 12 notes pdf download is very useful for students for revision and self-study.

Class 10 Chapter Wise Notes

NCERT Solutions of Cass 10 Subject Wise

NCERT Class 10 Exemplar Solutions for Other Subjects:

NCERT Books for Class 10
NCERT Syllabus for Class 10

Frequently Asked Questions (FAQs)

1. What is the definition of segment given in notes for Class 10 Maths chapter 12?

 A circular segment is a portion of a circle that is separated from the rest of the circle by a secant or chord.

2. What is the definition of a chord as per Areas Related to Circles Class 10 notes?

A line segment that connects the two points on the circle's circumference.

3. .What is a circle?

 A circle is a path taken by a point moving in such a way that its distance from a fixed point remains constant. That fixed point is known as the circle's centre, and that path is known as the locus of that point. The radius of a circle is the fixed distance between the centre and the route. Many instances of circles may be found all around us, such as bangles, round chapatis etc.

4. What is relation between circumference and diameter of a circle?

The circumferential length of a closed-form or polygon is called its perimeter. In the case of a circle, if we travel once around it, the length covered equals the circumference or perimeter. The ratio of circumference and diameter is always equal to a constant pi

5. What is a semicircle?

 A semicircle is generated when a circle is cut in half along its diameter

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