• School
  • Engineering and Architecture
  • Management and Business Administration
  • Medicine and Allied Sciences
  • Law
  • Animation and Design
  • Media, Mass Communication and Journalism
  • Finance & Accounts
  • Computer Application and IT
  • Pharmacy
  • Hospitality and Tourism
  • Competition
  • Study Abroad
  • Arts, Commerce & Sciences
  • Learn
  • Online Courses and Certifications
Circles Class 9th Notes - Free NCERT Class 9 Maths Chapter 10 Notes - Download PDF

Circles Class 9th Notes - Free NCERT Class 9 Maths Chapter 10 Notes - Download PDF

Edited By Ramraj Saini | Updated on Apr 21, 2022 02:01 PM IST

Class 9 maths chapter 10 notes

Circles are one of the important chapters in the Class 9 Maths subject. Circles class 9 notes deal with the basic details of the circle and the terms associated with it. It will help students by acting as a quick revision material before going to appear for the examination. CBSE class 9 maths chapter 10 notes also help students in getting good marks in the Board examination. Class 9th maths chapter 10 notes also contain the important theorems of circles. Class 9 maths chapter 10 notes also help students in giving key points for several competitive examinations.

This Story also Contains
  1. Class 9 maths chapter 10 notes
  2. NCERT notes for class 9 maths chapter 10
  3. Important Theorems
  4. Significance of NCERT notes for class 9 maths chapter 10

Also, students can refer,

NCERT notes for class 9 maths chapter 10

Circles

The circle is a shape or geometry in which a set of all the points is fixed in a plane at a fixed distance and starts from a fixed point. The fixed point from which the set of points is at a fixed distance is the center of the circle. There are three parts in which a circle divides the plane one is the interior and the second part is the circle itself and the third part is the exterior.

1648203799700

Radius

One of the terms associated with the circle in which it can be defined as the distance between the central point of a circle and any point on a given circle.

1648202208266

Tangent

In the circle, if a line touches the circle on exactly one point is the tangent.

1648202208888

Secant

In the circle, if a line touches or cuts the circle in two points is secant.

2Chord

A chord is a line segment that is present within the circle in which it is joining two points on the circle.

1648202209099

Diameter

It is the straight line whose either end touches the circle and passes through the center of the circle. The value of the diameter is twice the value of radius and it can also be called the longest chord.

1648202209896

Arc

Arc is the section of the circumference of the circle. The longest portion is the major ARC and the shortest is the minor Arc if two pieces of arc are made.

1648202210107

Here AB is the arc.

Circumference

In a circle the distance covered by going around its surface is the perimeter and the name of the perimeter when it comes to the circle is the circumference. And its equation is 2πr.

Semicircle

In a circle of diameter parts, the circle into two equal parts, and the two equal parts are called an arc. Under these two arcs given the name is a semicircle.

1648202208483

Congruent Circles

When two circles can be superimposed on the other so it will cover exactly equal then it is said to be congruent.

Segment

When a circle is cut by a secant or a chord the circular segment is formed. and there among which the smaller region is the minor segment and the bigger one is the major segment.

1648202208695

Sector

An arc plus two radii together is known as the sector. In which the minor portion is called the minor sector and the major portion is called the major sector.

1648202209285

Cyclic Quadrilateral

A quadrilateral ABCD can be said to be a cyclic quadrilateral if and only if all the four vertices of it lie on a circle.

1648202209706

Important Theorems

  • For a circle, if the two arcs are said to be congruent then their corresponding chords are equal.

  • For the same segment of a circle, the angle is equal.

  • The sum of the opposite angles of a circle is 180°.

  • For a semicircle, the angle present on them is 90°.

  • For a circle, if the two chords of which are equal then their corresponding arcs that are major or minor or semi-circle are congruent.

  • In a semicircle, the angle is the right angle.

  • The exterior angle is the same as that of the interior opposite angle in a cyclic quadrilateral.

  • A quadrilateral is cyclic if the sum of opposite angles is 180°.

  • From one point an infinite number of circles can be made.

Significance of NCERT notes for class 9 maths chapter 10

NCERT notes for class 9 maths chapter 10 covers the important concepts regarding the circles. This note helps students to get qualified in the VITEEE, BITSAT, JEE Main, NEET , and other competitive examinations. Notes for class 9 maths chapter 10 also provide quick revision for students before going to the examination. As this note covers important sections of circles it will help students in getting good marks in the CBSE examination. Class 9 maths chapter 10 notes pdf download enable students to learn in the offline mode also.

NCERT solutions of class 9 subject wise

NCERT Class 9 Exemplar Solutions for Other Subjects:

NCERT Class 9 Notes Chapter wise


Also Read

Articles

Upcoming School Exams

Madhya Pradesh State Open School 10th Examination

Admit Card Date:13 December,2024 - 31 December,2024

Madhya Pradesh State Open School 12th Examination

Admit Card Date:13 December,2024 - 06 January,2025

National Institute of Open Schooling 10th examination

Late Fee Application Date:21 December,2024 - 31 December,2024

National Institute of Open Schooling 12th Examination

Late Fee Application Date:21 December,2024 - 31 December,2024

All India Sainik Schools Entrance Examination

Application Date:24 December,2024 - 13 January,2025

View All School Exams
Get answers from students and experts

Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

 Option 2)

0.16\; J
Option 3)

1.00\; J

 Option 4)

0.67\; J
Read More

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

 Option 2)

 6.45×10−3 kg
Option 3)

 9.89×10−3 kg

 Option 4)

12.89×10−3 kg

 
Read More

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

 Option 2)

200 \, \, J - 500 \, \, J
Option 3)

2\times 10^{5}J-3\times 10^{5}J

 Option 4)

20,000 \, \, J - 50,000 \, \, J
Read More

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

 Option 2)

\; K\;
Option 3)

zero\;

 Option 4)

K/4
Read More

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

 Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced
Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

 Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .
Read More

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

 Option 2)

3.125 × 10-2
Option 3)

1.25 × 10-2

 Option 4)

2.5 × 10-2
Read More

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

 Option 2)

increase two fold
Option 3)

remain unchanged

 Option 4)

be a function of the molecular mass of the substance.
Read More

With increase of temperature, which of these changes?

Option 1)

Molality

 Option 2)

Weight fraction of solute
Option 3)

Fraction of solute present in water

 Option 4)

Mole fraction.
Read More

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

 Option 2)

6.023 × 1022
Option 3)

half that in 8 g He

 Option 4)

558.5 × 6.023 × 1023
Read More

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

 Option 2)

more than 3 but less than 6
Option 3)

more than 6 but less than 9

 Option 4)

more than 9
Read More

Colleges After 12th

Popular Course After 12th

Applications for Admissions are open.

JEE Main Important Physics formulas
Apply

As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters

JEE Main Important Chemistry formulas
Apply

As per latest 2024 syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters

TOEFL ® Registrations 2024
Apply

Accepted by more than 11,000 universities in over 150 countries worldwide

Pearson | PTE
Apply

Trusted by 3,500+ universities and colleges globally | Accepted for migration visa applications to AUS, CAN, New Zealand , and the UK

JEE Main high scoring chapters and topics
Apply

As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE

JEE Main Important Mathematics Formulas
Apply

As per latest 2024 syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters

View All Application Forms
News and Notifications
UDISE Plus 2023-24 shows school enrolment drop of 37 lakh spread across categories, levels
Pariksha Pe Charcha 2025: Over 51 lakh students, teachers register for PM Modi's board exam interaction
CM Atishi highlights Mega PTMs held across 1,500 schools; focus on parent-teacher collaboration
Class 10 student dies by suicide; jumps before train in UP's Amroha
12-year-old boy alleges harassment by senior students in UP's Gorakhpur
Haryana government amends CET policy, removes bonus marks based on socioeconomic criteria
Ghaziabad schools close till December 30 due to rain, cold weather conditions
Back to top