SlideShare a Scribd company logo
1 of 14
Basic Concepts of
Prepared By
Ronnith Nandy
Circle is a simple shape of Euclidean geometry that is
the set of points in the plane that are equidistant from
a given point, the centre.
A circle is a simple closed curve which divides the
plane into 3 regions: Interior, Exterior and On
In everyday use, the term
"circle" may be used
interchangeably to refer to
either the boundary of the
figure, or to the whole figure
including its interior; in strict
technical usage, the circle is
the former and the latter is
called a disk.
The word "circle" derives from the Greek, kirkos "a
circle," from the base Ker- which means to turn or
bend.
Circle was created long before recorded history. It is
quite likely that it was drawn by a stick in the sand.
With the sun being a constant in early man’s
existence and the source of all life, it is quite likely
that the first circle represented the sun.
Circle has evolved substantially
with Euclidean geometry being
its crowning point of
technological understanding,
Without circles, there would be
no wheel, which is man’s
crowning achievement dating
back to the Neolithic Age (circa
9500 BC).
Parts of a Circle
CIRCLE TERMINOLOGY
CIRCUMFERENCE
The Circumference of a circle (from "circa",
the Latin word for "around") is the distance around
the edge of the circle.
CIRCLE TERMINOLOGY
RADIUS
In classical geometry, the radius of a circle or sphere
is the length of a line segment from its center to its
perimeter. The name comes from Latin radius,
meaning "ray" but also the spoke of a chariot wheel.
CIRCLE TERMINOLOGY
CHORD
A chord of a circle is a straight line segment whose
endpoints both lie on the circle. A secant line, or
just secant, is the infinite line extension of a chord.
More generally, a chord is a line segment joining two
points on any curve, for instance an ellipse.
CIRCLE TERMINOLOGY
DIAMETER
The diameter of a circle is any straight line segment
that passes through the center of the circle and
whose endpoints lie on the circle. It can also
be defined as the longest chord of the circle.
CIRCLE TERMINOLOGY
ARC
The arc of a circle is a portion of the circumference
of a circle. Measure an arc by two methods: 1) the
measure of the central angle or 2) the length of
the arc itself.
CIRCLE TERMINOLOGY
SEGMENT
The segment of a circle is the region bounded by a
chord and the arc subtended by the chord.
CIRCLE TERMINOLOGY
SECTOR
A circular sector or circle sector (symbol: ⌔), is the
portion of a disk enclosed by two radii and an arc,
where the smaller area is known as the
minor sector and the larger being the major sector.
PROPERTIES OF CIRCLE
In geometry, a large number of facts about circles and
their relations to straight lines, angles
and polygons can be proved. These facts are called
the properties of the circle.
Circles having equal radii are congruent.
Circles having different radii are similar.
The central angle which intercept an arc double of
any inscribed angle that intercepts the same arc.
The radius perpendicular to a chord bisects the
chord.
The chords equidistant from the center are equal in
length.
A tangent to a circle is at right angles to
the radius at the point of contact.
Two tangents drawn to a circle from a point out side
are equal in length.
The angle subtended at the center of a circle by its
circumference is equal to four right angles.
PROPERTIES OF CIRCLE
In geometry, a large number of facts about circles and
their relations to straight lines, angles
and polygons can be proved. These facts are called
the properties of the circle.
Circumference of two different circles is
proportional to their corresponding radii.
Arcs of the same circle are proportional to their
corresponding angles.
Radii of the same circle or the equal circles are
equal.
Equal chords have equal circumferences.
The diameter of a circle is the longest chord.
Circle which have equal radii are equal.
Equal circles have equal circumference.
Basic Concepts of Circles

More Related Content

What's hot

10.1 Distance and Midpoint Formulas
10.1 Distance and Midpoint Formulas10.1 Distance and Midpoint Formulas
10.1 Distance and Midpoint Formulasswartzje
 
11 2 arcs and central angles lesson
11 2 arcs and central angles lesson11 2 arcs and central angles lesson
11 2 arcs and central angles lessongwilson8786
 
Arc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circleArc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circleJoey Valdriz
 
class 10 circles
class 10 circlesclass 10 circles
class 10 circlesAadhiSXA
 
"Area of Circle" Presentation
"Area of Circle" Presentation"Area of Circle" Presentation
"Area of Circle" Presentationguestdd5eafa
 
2.5.6 Perpendicular and Angle Bisectors
2.5.6 Perpendicular and Angle Bisectors2.5.6 Perpendicular and Angle Bisectors
2.5.6 Perpendicular and Angle Bisectorssmiller5
 
theorems on tangents, Secants and segments of a circles 1.pptx
theorems on tangents, Secants and segments of a circles 1.pptxtheorems on tangents, Secants and segments of a circles 1.pptx
theorems on tangents, Secants and segments of a circles 1.pptxPeejayOAntonio
 
Parts of-a-circle
Parts of-a-circleParts of-a-circle
Parts of-a-circleubariel
 
Circles and coordinate circles
Circles and coordinate circlesCircles and coordinate circles
Circles and coordinate circlesrey castro
 
Mathematics- Circle Presentation
Mathematics- Circle PresentationMathematics- Circle Presentation
Mathematics- Circle PresentationMonnie Bao Jia
 
Secants and Tangents of Circles PowerPoint.ppt
Secants and Tangents of Circles PowerPoint.pptSecants and Tangents of Circles PowerPoint.ppt
Secants and Tangents of Circles PowerPoint.pptAlvinDairo2
 
sum of interior and exterior angles in polygons
   sum of interior and exterior angles in polygons   sum of interior and exterior angles in polygons
sum of interior and exterior angles in polygonsAneesha Jesmin
 
Circle basic concepts
Circle basic conceptsCircle basic concepts
Circle basic conceptsvinaysemmera
 
Cartesian coordinate plane
Cartesian coordinate planeCartesian coordinate plane
Cartesian coordinate planeElvie Hernandez
 

What's hot (20)

10.1 Distance and Midpoint Formulas
10.1 Distance and Midpoint Formulas10.1 Distance and Midpoint Formulas
10.1 Distance and Midpoint Formulas
 
Circle
CircleCircle
Circle
 
11 2 arcs and central angles lesson
11 2 arcs and central angles lesson11 2 arcs and central angles lesson
11 2 arcs and central angles lesson
 
Circles
CirclesCircles
Circles
 
Trigonometry Functions
Trigonometry FunctionsTrigonometry Functions
Trigonometry Functions
 
Arc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circleArc length, area of a sector and segments of a circle
Arc length, area of a sector and segments of a circle
 
class 10 circles
class 10 circlesclass 10 circles
class 10 circles
 
"Area of Circle" Presentation
"Area of Circle" Presentation"Area of Circle" Presentation
"Area of Circle" Presentation
 
2.5.6 Perpendicular and Angle Bisectors
2.5.6 Perpendicular and Angle Bisectors2.5.6 Perpendicular and Angle Bisectors
2.5.6 Perpendicular and Angle Bisectors
 
theorems on tangents, Secants and segments of a circles 1.pptx
theorems on tangents, Secants and segments of a circles 1.pptxtheorems on tangents, Secants and segments of a circles 1.pptx
theorems on tangents, Secants and segments of a circles 1.pptx
 
Parts of-a-circle
Parts of-a-circleParts of-a-circle
Parts of-a-circle
 
Circles and coordinate circles
Circles and coordinate circlesCircles and coordinate circles
Circles and coordinate circles
 
Arcs and Central Angles
Arcs and Central AnglesArcs and Central Angles
Arcs and Central Angles
 
Mathematics- Circle Presentation
Mathematics- Circle PresentationMathematics- Circle Presentation
Mathematics- Circle Presentation
 
Secants and Tangents of Circles PowerPoint.ppt
Secants and Tangents of Circles PowerPoint.pptSecants and Tangents of Circles PowerPoint.ppt
Secants and Tangents of Circles PowerPoint.ppt
 
sum of interior and exterior angles in polygons
   sum of interior and exterior angles in polygons   sum of interior and exterior angles in polygons
sum of interior and exterior angles in polygons
 
Polygons
PolygonsPolygons
Polygons
 
Angles and Measures
Angles and MeasuresAngles and Measures
Angles and Measures
 
Circle basic concepts
Circle basic conceptsCircle basic concepts
Circle basic concepts
 
Cartesian coordinate plane
Cartesian coordinate planeCartesian coordinate plane
Cartesian coordinate plane
 

Similar to Basic Concepts of Circles

Circles - An Introduction
Circles - An IntroductionCircles - An Introduction
Circles - An IntroductionBhavesh Singh
 
Circles - Maths project
Circles - Maths projectCircles - Maths project
Circles - Maths projectRamki M
 
A presentation on mathematics
A presentation on mathematicsA presentation on mathematics
A presentation on mathematicspoojith8
 
Basic geometrical Ideas - Circles and related terms
Basic geometrical Ideas - Circles and related termsBasic geometrical Ideas - Circles and related terms
Basic geometrical Ideas - Circles and related termsRAHMATHPS
 
Circle and Terms related to it.pptx
Circle and Terms related to it.pptxCircle and Terms related to it.pptx
Circle and Terms related to it.pptxJeraldelEncepto
 
Mathematics 7 Quarter 3 Week 7 - Circles
Mathematics 7 Quarter 3 Week 7 - CirclesMathematics 7 Quarter 3 Week 7 - Circles
Mathematics 7 Quarter 3 Week 7 - CirclesMELANIEZARATE4
 
Circles | Parts and Relations
Circles | Parts and RelationsCircles | Parts and Relations
Circles | Parts and RelationsAfrah Aamer
 
Circular vocabulary
Circular vocabularyCircular vocabulary
Circular vocabularydolphdiaz
 
The-Fascinating-World-of-Circles.pptx
The-Fascinating-World-of-Circles.pptxThe-Fascinating-World-of-Circles.pptx
The-Fascinating-World-of-Circles.pptxMahanSigma
 
Conic sections in daily life
Conic sections in daily lifeConic sections in daily life
Conic sections in daily lifeAditya Garg
 
radius ofcircle.pdf
radius ofcircle.pdfradius ofcircle.pdf
radius ofcircle.pdfsayma22
 

Similar to Basic Concepts of Circles (20)

Circle
CircleCircle
Circle
 
Math's assignment ON circles
Math's assignment ON circlesMath's assignment ON circles
Math's assignment ON circles
 
Digital sherin
Digital sherinDigital sherin
Digital sherin
 
Circles - An Introduction
Circles - An IntroductionCircles - An Introduction
Circles - An Introduction
 
Circles - Maths project
Circles - Maths projectCircles - Maths project
Circles - Maths project
 
Circle
CircleCircle
Circle
 
A presentation on mathematics
A presentation on mathematicsA presentation on mathematics
A presentation on mathematics
 
Basic geometrical Ideas - Circles and related terms
Basic geometrical Ideas - Circles and related termsBasic geometrical Ideas - Circles and related terms
Basic geometrical Ideas - Circles and related terms
 
Circles PPT
Circles PPTCircles PPT
Circles PPT
 
Circle and Terms related to it.pptx
Circle and Terms related to it.pptxCircle and Terms related to it.pptx
Circle and Terms related to it.pptx
 
Cirlce
CirlceCirlce
Cirlce
 
Mathematics 7 Quarter 3 Week 7 - Circles
Mathematics 7 Quarter 3 Week 7 - CirclesMathematics 7 Quarter 3 Week 7 - Circles
Mathematics 7 Quarter 3 Week 7 - Circles
 
Circles | Parts and Relations
Circles | Parts and RelationsCircles | Parts and Relations
Circles | Parts and Relations
 
Circular vocabulary
Circular vocabularyCircular vocabulary
Circular vocabulary
 
Circle
CircleCircle
Circle
 
The-Fascinating-World-of-Circles.pptx
The-Fascinating-World-of-Circles.pptxThe-Fascinating-World-of-Circles.pptx
The-Fascinating-World-of-Circles.pptx
 
Circle
CircleCircle
Circle
 
Conic sections in daily life
Conic sections in daily lifeConic sections in daily life
Conic sections in daily life
 
radius ofcircle.pdf
radius ofcircle.pdfradius ofcircle.pdf
radius ofcircle.pdf
 
G9-PPT-Circles.pptx
G9-PPT-Circles.pptxG9-PPT-Circles.pptx
G9-PPT-Circles.pptx
 

More from Ronnith Nandy

Pythagoras Theorem and Proof
Pythagoras Theorem and ProofPythagoras Theorem and Proof
Pythagoras Theorem and ProofRonnith Nandy
 
The Ransom of Red Chief
The Ransom of Red ChiefThe Ransom of Red Chief
The Ransom of Red ChiefRonnith Nandy
 
Natural & synthetic compounds
Natural & synthetic compoundsNatural & synthetic compounds
Natural & synthetic compoundsRonnith Nandy
 
कश्मीर (कश्मीरी : कोशूर)
कश्मीर (कश्मीरी : कोशूर)कश्मीर (कश्मीरी : कोशूर)
कश्मीर (कश्मीरी : कोशूर)Ronnith Nandy
 
Chinese Civilization
Chinese CivilizationChinese Civilization
Chinese CivilizationRonnith Nandy
 
Importance of Animals in Human Life
Importance of Animals in Human LifeImportance of Animals in Human Life
Importance of Animals in Human LifeRonnith Nandy
 
Homographs and Its Examples
Homographs and Its ExamplesHomographs and Its Examples
Homographs and Its ExamplesRonnith Nandy
 
Music and Dance in the Mughal Era
Music and Dance in the Mughal EraMusic and Dance in the Mughal Era
Music and Dance in the Mughal EraRonnith Nandy
 
Wildlife and Transportation of Africa
Wildlife and Transportation of AfricaWildlife and Transportation of Africa
Wildlife and Transportation of AfricaRonnith Nandy
 

More from Ronnith Nandy (15)

Pythagoras Theorem and Proof
Pythagoras Theorem and ProofPythagoras Theorem and Proof
Pythagoras Theorem and Proof
 
The Ransom of Red Chief
The Ransom of Red ChiefThe Ransom of Red Chief
The Ransom of Red Chief
 
Symmetry
SymmetrySymmetry
Symmetry
 
Natural & synthetic compounds
Natural & synthetic compoundsNatural & synthetic compounds
Natural & synthetic compounds
 
Fungus
FungusFungus
Fungus
 
Akbar the Great
Akbar the GreatAkbar the Great
Akbar the Great
 
E commerce
E commerceE commerce
E commerce
 
कश्मीर (कश्मीरी : कोशूर)
कश्मीर (कश्मीरी : कोशूर)कश्मीर (कश्मीरी : कोशूर)
कश्मीर (कश्मीरी : कोशूर)
 
Chinese Civilization
Chinese CivilizationChinese Civilization
Chinese Civilization
 
Importance of Animals in Human Life
Importance of Animals in Human LifeImportance of Animals in Human Life
Importance of Animals in Human Life
 
Homographs and Its Examples
Homographs and Its ExamplesHomographs and Its Examples
Homographs and Its Examples
 
Lever and Its Types
Lever and Its TypesLever and Its Types
Lever and Its Types
 
Music and Dance in the Mughal Era
Music and Dance in the Mughal EraMusic and Dance in the Mughal Era
Music and Dance in the Mughal Era
 
Wildlife and Transportation of Africa
Wildlife and Transportation of AfricaWildlife and Transportation of Africa
Wildlife and Transportation of Africa
 
Natural Disasters
Natural DisastersNatural Disasters
Natural Disasters
 

Recently uploaded

Q-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQ-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQuiz Club NITW
 
Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1GloryAnnCastre1
 
MS4 level being good citizen -imperative- (1) (1).pdf
MS4 level   being good citizen -imperative- (1) (1).pdfMS4 level   being good citizen -imperative- (1) (1).pdf
MS4 level being good citizen -imperative- (1) (1).pdfMr Bounab Samir
 
Oppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and FilmOppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and FilmStan Meyer
 
CHEST Proprioceptive neuromuscular facilitation.pptx
CHEST Proprioceptive neuromuscular facilitation.pptxCHEST Proprioceptive neuromuscular facilitation.pptx
CHEST Proprioceptive neuromuscular facilitation.pptxAneriPatwari
 
DIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptx
DIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptxDIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptx
DIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptxMichelleTuguinay1
 
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...Association for Project Management
 
Concurrency Control in Database Management system
Concurrency Control in Database Management systemConcurrency Control in Database Management system
Concurrency Control in Database Management systemChristalin Nelson
 
Daily Lesson Plan in Mathematics Quarter 4
Daily Lesson Plan in Mathematics Quarter 4Daily Lesson Plan in Mathematics Quarter 4
Daily Lesson Plan in Mathematics Quarter 4JOYLYNSAMANIEGO
 
Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWMythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWQuiz Club NITW
 
How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17Celine George
 
ICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdfICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdfVanessa Camilleri
 
4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptx4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptxmary850239
 
Expanded definition: technical and operational
Expanded definition: technical and operationalExpanded definition: technical and operational
Expanded definition: technical and operationalssuser3e220a
 
ICS 2208 Lecture Slide Notes for Topic 6
ICS 2208 Lecture Slide Notes for Topic 6ICS 2208 Lecture Slide Notes for Topic 6
ICS 2208 Lecture Slide Notes for Topic 6Vanessa Camilleri
 
ARTERIAL BLOOD GAS ANALYSIS........pptx
ARTERIAL BLOOD  GAS ANALYSIS........pptxARTERIAL BLOOD  GAS ANALYSIS........pptx
ARTERIAL BLOOD GAS ANALYSIS........pptxAneriPatwari
 
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxQ4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxlancelewisportillo
 
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSTextual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSMae Pangan
 

Recently uploaded (20)

Q-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITWQ-Factor General Quiz-7th April 2024, Quiz Club NITW
Q-Factor General Quiz-7th April 2024, Quiz Club NITW
 
Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1Reading and Writing Skills 11 quarter 4 melc 1
Reading and Writing Skills 11 quarter 4 melc 1
 
MS4 level being good citizen -imperative- (1) (1).pdf
MS4 level   being good citizen -imperative- (1) (1).pdfMS4 level   being good citizen -imperative- (1) (1).pdf
MS4 level being good citizen -imperative- (1) (1).pdf
 
Oppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and FilmOppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and Film
 
CHEST Proprioceptive neuromuscular facilitation.pptx
CHEST Proprioceptive neuromuscular facilitation.pptxCHEST Proprioceptive neuromuscular facilitation.pptx
CHEST Proprioceptive neuromuscular facilitation.pptx
 
DIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptx
DIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptxDIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptx
DIFFERENT BASKETRY IN THE PHILIPPINES PPT.pptx
 
Faculty Profile prashantha K EEE dept Sri Sairam college of Engineering
Faculty Profile prashantha K EEE dept Sri Sairam college of EngineeringFaculty Profile prashantha K EEE dept Sri Sairam college of Engineering
Faculty Profile prashantha K EEE dept Sri Sairam college of Engineering
 
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
Team Lead Succeed – Helping you and your team achieve high-performance teamwo...
 
Concurrency Control in Database Management system
Concurrency Control in Database Management systemConcurrency Control in Database Management system
Concurrency Control in Database Management system
 
Daily Lesson Plan in Mathematics Quarter 4
Daily Lesson Plan in Mathematics Quarter 4Daily Lesson Plan in Mathematics Quarter 4
Daily Lesson Plan in Mathematics Quarter 4
 
Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWMythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITW
 
How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17How to Fix XML SyntaxError in Odoo the 17
How to Fix XML SyntaxError in Odoo the 17
 
ICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdfICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdf
 
4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptx4.9.24 School Desegregation in Boston.pptx
4.9.24 School Desegregation in Boston.pptx
 
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptxINCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
INCLUSIVE EDUCATION PRACTICES FOR TEACHERS AND TRAINERS.pptx
 
Expanded definition: technical and operational
Expanded definition: technical and operationalExpanded definition: technical and operational
Expanded definition: technical and operational
 
ICS 2208 Lecture Slide Notes for Topic 6
ICS 2208 Lecture Slide Notes for Topic 6ICS 2208 Lecture Slide Notes for Topic 6
ICS 2208 Lecture Slide Notes for Topic 6
 
ARTERIAL BLOOD GAS ANALYSIS........pptx
ARTERIAL BLOOD  GAS ANALYSIS........pptxARTERIAL BLOOD  GAS ANALYSIS........pptx
ARTERIAL BLOOD GAS ANALYSIS........pptx
 
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptxQ4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
Q4-PPT-Music9_Lesson-1-Romantic-Opera.pptx
 
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHSTextual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHS
 

Basic Concepts of Circles

  • 1. Basic Concepts of Prepared By Ronnith Nandy
  • 2. Circle is a simple shape of Euclidean geometry that is the set of points in the plane that are equidistant from a given point, the centre. A circle is a simple closed curve which divides the plane into 3 regions: Interior, Exterior and On In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is the former and the latter is called a disk.
  • 3. The word "circle" derives from the Greek, kirkos "a circle," from the base Ker- which means to turn or bend. Circle was created long before recorded history. It is quite likely that it was drawn by a stick in the sand. With the sun being a constant in early man’s existence and the source of all life, it is quite likely that the first circle represented the sun. Circle has evolved substantially with Euclidean geometry being its crowning point of technological understanding, Without circles, there would be no wheel, which is man’s crowning achievement dating back to the Neolithic Age (circa 9500 BC).
  • 4. Parts of a Circle
  • 5. CIRCLE TERMINOLOGY CIRCUMFERENCE The Circumference of a circle (from "circa", the Latin word for "around") is the distance around the edge of the circle.
  • 6. CIRCLE TERMINOLOGY RADIUS In classical geometry, the radius of a circle or sphere is the length of a line segment from its center to its perimeter. The name comes from Latin radius, meaning "ray" but also the spoke of a chariot wheel.
  • 7. CIRCLE TERMINOLOGY CHORD A chord of a circle is a straight line segment whose endpoints both lie on the circle. A secant line, or just secant, is the infinite line extension of a chord. More generally, a chord is a line segment joining two points on any curve, for instance an ellipse.
  • 8. CIRCLE TERMINOLOGY DIAMETER The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
  • 9. CIRCLE TERMINOLOGY ARC The arc of a circle is a portion of the circumference of a circle. Measure an arc by two methods: 1) the measure of the central angle or 2) the length of the arc itself.
  • 10. CIRCLE TERMINOLOGY SEGMENT The segment of a circle is the region bounded by a chord and the arc subtended by the chord.
  • 11. CIRCLE TERMINOLOGY SECTOR A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
  • 12. PROPERTIES OF CIRCLE In geometry, a large number of facts about circles and their relations to straight lines, angles and polygons can be proved. These facts are called the properties of the circle. Circles having equal radii are congruent. Circles having different radii are similar. The central angle which intercept an arc double of any inscribed angle that intercepts the same arc. The radius perpendicular to a chord bisects the chord. The chords equidistant from the center are equal in length. A tangent to a circle is at right angles to the radius at the point of contact. Two tangents drawn to a circle from a point out side are equal in length. The angle subtended at the center of a circle by its circumference is equal to four right angles.
  • 13. PROPERTIES OF CIRCLE In geometry, a large number of facts about circles and their relations to straight lines, angles and polygons can be proved. These facts are called the properties of the circle. Circumference of two different circles is proportional to their corresponding radii. Arcs of the same circle are proportional to their corresponding angles. Radii of the same circle or the equal circles are equal. Equal chords have equal circumferences. The diameter of a circle is the longest chord. Circle which have equal radii are equal. Equal circles have equal circumference.