SlideShare uma empresa Scribd logo
1 de 9
Essential Understanding

 You can find the area of a circle when you know its
  radius. You can use the area of a circle to find the
  area of a circle formed by two radii and the arc the
  radii when they intersect with the circle

 Students will be able to find the areas of circles,
  sectors, and segments of circles
Area of a Circle

 A = πr2

 What is the area of circular wrestling region with a
  42 ft diameter?

 What is the area of a circular ice skating rink with a
  radius of 24 ft?
Area of a Sector

 Sector of a circle: region bounded by an arc of the
  circle and two radii to the arc’s endpoints.




 A circle has radius of 4 in. What is the area of a sector
  bounded by a 45° minor arc? Leave your answer in
  terms of π.
Segment of a Circle
 Part of a circle bounded by an arc and the segment
  joining its endpoints.

 To find the area of a segment for a minor arc, draw
  radii to form a sector. The area of the segments
  equals the area of the sector minus the area of the
  triangle formed
Finding Area of a Segment

 What is the area of the shaded segment shown
  below? Round your answer to the nearest tenth.
Homework

 Pg. 663

 # 8 – 32 even, 46

 14 problems

Mais conteúdo relacionado

Mais procurados

Add Math(F4) Circular Measure 8.3
Add Math(F4) Circular Measure 8.3Add Math(F4) Circular Measure 8.3
Add Math(F4) Circular Measure 8.3roszelan
 
Area of Circles Powerpoint
Area of Circles PowerpointArea of Circles Powerpoint
Area of Circles Powerpointkaren wagoner
 
2 circular measure arc length
2 circular measure   arc length2 circular measure   arc length
2 circular measure arc lengthLily Maryati
 
Geometry unit 12.2
Geometry unit 12.2Geometry unit 12.2
Geometry unit 12.2Mark Ryder
 
7 2 sectors of circles
7 2 sectors of circles7 2 sectors of circles
7 2 sectors of circleshisema01
 
Areas related to circles - Area of sector and segment of a circle (Class 10 m...
Areas related to circles - Area of sector and segment of a circle (Class 10 m...Areas related to circles - Area of sector and segment of a circle (Class 10 m...
Areas related to circles - Area of sector and segment of a circle (Class 10 m...Let's Tute
 
AS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINED
AS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINEDAS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINED
AS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINEDRACSOelimu
 
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
 
Arc lengths and areas
Arc lengths and areasArc lengths and areas
Arc lengths and areasmasljr
 
Geometry unit 8.3
Geometry unit 8.3Geometry unit 8.3
Geometry unit 8.3Mark Ryder
 
Obj. 50 Sector Area and Arc Length
Obj. 50 Sector Area and Arc LengthObj. 50 Sector Area and Arc Length
Obj. 50 Sector Area and Arc Lengthsmiller5
 
Perimeter of a sector
Perimeter of a sectorPerimeter of a sector
Perimeter of a sectorNadineThomas4
 
Geometry unit 8.2
Geometry unit 8.2Geometry unit 8.2
Geometry unit 8.2Mark Ryder
 
Geometry unit 8.4
Geometry unit 8.4Geometry unit 8.4
Geometry unit 8.4Mark Ryder
 
IB Maths Radians, arc length & sector area
IB Maths Radians, arc length & sector areaIB Maths Radians, arc length & sector area
IB Maths Radians, arc length & sector areaestelav
 
Arc Length And Area of a Sector
Arc Length And Area of a SectorArc Length And Area of a Sector
Arc Length And Area of a SectorJosel Jalon
 

Mais procurados (20)

Add Math(F4) Circular Measure 8.3
Add Math(F4) Circular Measure 8.3Add Math(F4) Circular Measure 8.3
Add Math(F4) Circular Measure 8.3
 
Area of Circles Powerpoint
Area of Circles PowerpointArea of Circles Powerpoint
Area of Circles Powerpoint
 
2 circular measure arc length
2 circular measure   arc length2 circular measure   arc length
2 circular measure arc length
 
Geometry unit 12.2
Geometry unit 12.2Geometry unit 12.2
Geometry unit 12.2
 
Circular measures
Circular measuresCircular measures
Circular measures
 
Area of a Circle
Area of a CircleArea of a Circle
Area of a Circle
 
7 2 sectors of circles
7 2 sectors of circles7 2 sectors of circles
7 2 sectors of circles
 
Areas related to circles - Area of sector and segment of a circle (Class 10 m...
Areas related to circles - Area of sector and segment of a circle (Class 10 m...Areas related to circles - Area of sector and segment of a circle (Class 10 m...
Areas related to circles - Area of sector and segment of a circle (Class 10 m...
 
AS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINED
AS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINEDAS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINED
AS LEVEL CIRCULAR MEASURE GEOMETRY EXPLAINED
 
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
 
Arc lengths and areas
Arc lengths and areasArc lengths and areas
Arc lengths and areas
 
Circles 02
Circles 02 Circles 02
Circles 02
 
Geometry unit 8.3
Geometry unit 8.3Geometry unit 8.3
Geometry unit 8.3
 
Circular measures
Circular measuresCircular measures
Circular measures
 
Obj. 50 Sector Area and Arc Length
Obj. 50 Sector Area and Arc LengthObj. 50 Sector Area and Arc Length
Obj. 50 Sector Area and Arc Length
 
Perimeter of a sector
Perimeter of a sectorPerimeter of a sector
Perimeter of a sector
 
Geometry unit 8.2
Geometry unit 8.2Geometry unit 8.2
Geometry unit 8.2
 
Geometry unit 8.4
Geometry unit 8.4Geometry unit 8.4
Geometry unit 8.4
 
IB Maths Radians, arc length & sector area
IB Maths Radians, arc length & sector areaIB Maths Radians, arc length & sector area
IB Maths Radians, arc length & sector area
 
Arc Length And Area of a Sector
Arc Length And Area of a SectorArc Length And Area of a Sector
Arc Length And Area of a Sector
 

Destaque (20)

Class Activity - Circle
Class Activity - CircleClass Activity - Circle
Class Activity - Circle
 
Circles Lesson 4 April 30 09
Circles Lesson 4 April 30 09Circles Lesson 4 April 30 09
Circles Lesson 4 April 30 09
 
Parts of a circle
Parts of a circleParts of a circle
Parts of a circle
 
Basic Concepts of Circles
Basic Concepts of CirclesBasic Concepts of Circles
Basic Concepts of Circles
 
Circles
CirclesCircles
Circles
 
Activity 13: My Real World
Activity 13: My Real WorldActivity 13: My Real World
Activity 13: My Real World
 
Circles-GEOMETRY
Circles-GEOMETRYCircles-GEOMETRY
Circles-GEOMETRY
 
Module 2 circles
Module 2   circlesModule 2   circles
Module 2 circles
 
Lesson Plan Jen
Lesson Plan JenLesson Plan Jen
Lesson Plan Jen
 
Sector circle
Sector circleSector circle
Sector circle
 
Areas of Circles and Sectors
Areas of Circles and SectorsAreas of Circles and Sectors
Areas of Circles and Sectors
 
Area of sectors & segment ananya
Area of sectors & segment ananyaArea of sectors & segment ananya
Area of sectors & segment ananya
 
Circle
CircleCircle
Circle
 
Circle geometry
Circle geometryCircle geometry
Circle geometry
 
Circle
CircleCircle
Circle
 
Circles
CirclesCircles
Circles
 
Circle and its parts
Circle and its partsCircle and its parts
Circle and its parts
 
ppt on circles
ppt on circlesppt on circles
ppt on circles
 
Math 10 Unit 2 LM
Math 10 Unit 2 LMMath 10 Unit 2 LM
Math 10 Unit 2 LM
 
Circles IX
Circles IXCircles IX
Circles IX
 

Semelhante a 10-7 Areas of Circles and Sectors

Areas related to circle, Chapter-10
Areas related to circle, Chapter-10Areas related to circle, Chapter-10
Areas related to circle, Chapter-10Siddu Lingesh
 
Maths Art Integrated Activity 2022-23.pptx
Maths Art Integrated Activity 2022-23.pptxMaths Art Integrated Activity 2022-23.pptx
Maths Art Integrated Activity 2022-23.pptxTechnoSSJ
 
13534.ppt
13534.ppt13534.ppt
13534.pptchilde7
 
Areas related to Circles - class 10 maths
Areas related to Circles - class 10 maths Areas related to Circles - class 10 maths
Areas related to Circles - class 10 maths Amit Choube
 
area related to circle
area related to circlearea related to circle
area related to circlelashika madaan
 
Circle and sphere
Circle and sphereCircle and sphere
Circle and sphereChong Teo
 
Circle - Basic Introduction to circle for class 10th maths.
Circle - Basic Introduction to circle for class 10th maths.Circle - Basic Introduction to circle for class 10th maths.
Circle - Basic Introduction to circle for class 10th maths.Let's Tute
 
Presentation on the topic of mathematics - Circle
Presentation on the topic of mathematics - CirclePresentation on the topic of mathematics - Circle
Presentation on the topic of mathematics - Circlemanjinder6490
 
Circle Presentation on a topic in mathematics.pptx
Circle Presentation on a topic in mathematics.pptxCircle Presentation on a topic in mathematics.pptx
Circle Presentation on a topic in mathematics.pptxmanjinder6490
 
6.1 Radian Measure
6.1 Radian Measure6.1 Radian Measure
6.1 Radian Measuresmiller5
 
Areas related to circle
Areas related to circleAreas related to circle
Areas related to circleSatwantKaur20
 
Geometry 10 Circles.pptx
Geometry 10 Circles.pptxGeometry 10 Circles.pptx
Geometry 10 Circles.pptxMaricrisDeJuan1
 
Parts of-a-circle
Parts of-a-circleParts of-a-circle
Parts of-a-circleubariel
 

Semelhante a 10-7 Areas of Circles and Sectors (20)

Areas related to circle, Chapter-10
Areas related to circle, Chapter-10Areas related to circle, Chapter-10
Areas related to circle, Chapter-10
 
Maths Art Integrated Activity 2022-23.pptx
Maths Art Integrated Activity 2022-23.pptxMaths Art Integrated Activity 2022-23.pptx
Maths Art Integrated Activity 2022-23.pptx
 
13534.ppt
13534.ppt13534.ppt
13534.ppt
 
13534.ppt
13534.ppt13534.ppt
13534.ppt
 
13534.ppt
13534.ppt13534.ppt
13534.ppt
 
13534.ppt
13534.ppt13534.ppt
13534.ppt
 
13534.ppt
13534.ppt13534.ppt
13534.ppt
 
Areas related to Circles - class 10 maths
Areas related to Circles - class 10 maths Areas related to Circles - class 10 maths
Areas related to Circles - class 10 maths
 
circles-.pptx
circles-.pptxcircles-.pptx
circles-.pptx
 
area related to circle
area related to circlearea related to circle
area related to circle
 
Circle and sphere
Circle and sphereCircle and sphere
Circle and sphere
 
Study Guide for Circles
Study Guide for CirclesStudy Guide for Circles
Study Guide for Circles
 
Circle - Basic Introduction to circle for class 10th maths.
Circle - Basic Introduction to circle for class 10th maths.Circle - Basic Introduction to circle for class 10th maths.
Circle - Basic Introduction to circle for class 10th maths.
 
Circles
CirclesCircles
Circles
 
Presentation on the topic of mathematics - Circle
Presentation on the topic of mathematics - CirclePresentation on the topic of mathematics - Circle
Presentation on the topic of mathematics - Circle
 
Circle Presentation on a topic in mathematics.pptx
Circle Presentation on a topic in mathematics.pptxCircle Presentation on a topic in mathematics.pptx
Circle Presentation on a topic in mathematics.pptx
 
6.1 Radian Measure
6.1 Radian Measure6.1 Radian Measure
6.1 Radian Measure
 
Areas related to circle
Areas related to circleAreas related to circle
Areas related to circle
 
Geometry 10 Circles.pptx
Geometry 10 Circles.pptxGeometry 10 Circles.pptx
Geometry 10 Circles.pptx
 
Parts of-a-circle
Parts of-a-circleParts of-a-circle
Parts of-a-circle
 

Mais de jtentinger

Geo 7-1 Ratios and Proportions
Geo 7-1 Ratios and ProportionsGeo 7-1 Ratios and Proportions
Geo 7-1 Ratios and Proportionsjtentinger
 
Geo 7-2 Similar Polygons
Geo 7-2 Similar PolygonsGeo 7-2 Similar Polygons
Geo 7-2 Similar Polygonsjtentinger
 
Geometry 1-7 Constructions
Geometry 1-7 ConstructionsGeometry 1-7 Constructions
Geometry 1-7 Constructionsjtentinger
 
Angle Sum Theorem
Angle Sum TheoremAngle Sum Theorem
Angle Sum Theoremjtentinger
 
Bullying Prevention Certification
Bullying Prevention CertificationBullying Prevention Certification
Bullying Prevention Certificationjtentinger
 
Shipley - Algebra II Ch3 Proficiency Charts
Shipley - Algebra II Ch3 Proficiency ChartsShipley - Algebra II Ch3 Proficiency Charts
Shipley - Algebra II Ch3 Proficiency Chartsjtentinger
 
Shipley - Algebra II Ch2 Proficiency Charts
Shipley - Algebra II  Ch2 Proficiency ChartsShipley - Algebra II  Ch2 Proficiency Charts
Shipley - Algebra II Ch2 Proficiency Chartsjtentinger
 
Shipley - Semester 1 Summary Data
Shipley - Semester 1 Summary DataShipley - Semester 1 Summary Data
Shipley - Semester 1 Summary Datajtentinger
 
Ch4 Matrices - How to use the Calculator
Ch4 Matrices - How to use the CalculatorCh4 Matrices - How to use the Calculator
Ch4 Matrices - How to use the Calculatorjtentinger
 
Pre-observation Form Oct 2013
Pre-observation Form Oct 2013Pre-observation Form Oct 2013
Pre-observation Form Oct 2013jtentinger
 
Formal Observation/Notes October 2013
Formal Observation/Notes October 2013Formal Observation/Notes October 2013
Formal Observation/Notes October 2013jtentinger
 
Algebra II Classroom and Homework Expectations
Algebra II Classroom and Homework ExpectationsAlgebra II Classroom and Homework Expectations
Algebra II Classroom and Homework Expectationsjtentinger
 
Sina workshop, day 1, january 25, 2013
Sina workshop, day 1, january 25, 2013Sina workshop, day 1, january 25, 2013
Sina workshop, day 1, january 25, 2013jtentinger
 
Iowa Assessment Math Growth Rates Grades 7-11th
Iowa Assessment Math Growth Rates Grades 7-11thIowa Assessment Math Growth Rates Grades 7-11th
Iowa Assessment Math Growth Rates Grades 7-11thjtentinger
 
Geometry Chapter 3 Test Scores and Retake Test
Geometry Chapter 3 Test Scores and Retake TestGeometry Chapter 3 Test Scores and Retake Test
Geometry Chapter 3 Test Scores and Retake Testjtentinger
 
Alg II 3-6 Solving Systems - Matrices
Alg II 3-6 Solving Systems - MatricesAlg II 3-6 Solving Systems - Matrices
Alg II 3-6 Solving Systems - Matricesjtentinger
 
Alg II 3-5 Sytems Three Variables
Alg II 3-5 Sytems Three VariablesAlg II 3-5 Sytems Three Variables
Alg II 3-5 Sytems Three Variablesjtentinger
 
Alg II 3-4 Linear Programming
Alg II 3-4 Linear ProgrammingAlg II 3-4 Linear Programming
Alg II 3-4 Linear Programmingjtentinger
 
Alg II 3-3 Systems of Inequalities
Alg II 3-3 Systems of InequalitiesAlg II 3-3 Systems of Inequalities
Alg II 3-3 Systems of Inequalitiesjtentinger
 

Mais de jtentinger (20)

Geo 7-1 Ratios and Proportions
Geo 7-1 Ratios and ProportionsGeo 7-1 Ratios and Proportions
Geo 7-1 Ratios and Proportions
 
Geo 7-2 Similar Polygons
Geo 7-2 Similar PolygonsGeo 7-2 Similar Polygons
Geo 7-2 Similar Polygons
 
Geometry 1-7 Constructions
Geometry 1-7 ConstructionsGeometry 1-7 Constructions
Geometry 1-7 Constructions
 
Angle Sum Theorem
Angle Sum TheoremAngle Sum Theorem
Angle Sum Theorem
 
Bullying Prevention Certification
Bullying Prevention CertificationBullying Prevention Certification
Bullying Prevention Certification
 
Ethics
EthicsEthics
Ethics
 
Shipley - Algebra II Ch3 Proficiency Charts
Shipley - Algebra II Ch3 Proficiency ChartsShipley - Algebra II Ch3 Proficiency Charts
Shipley - Algebra II Ch3 Proficiency Charts
 
Shipley - Algebra II Ch2 Proficiency Charts
Shipley - Algebra II  Ch2 Proficiency ChartsShipley - Algebra II  Ch2 Proficiency Charts
Shipley - Algebra II Ch2 Proficiency Charts
 
Shipley - Semester 1 Summary Data
Shipley - Semester 1 Summary DataShipley - Semester 1 Summary Data
Shipley - Semester 1 Summary Data
 
Ch4 Matrices - How to use the Calculator
Ch4 Matrices - How to use the CalculatorCh4 Matrices - How to use the Calculator
Ch4 Matrices - How to use the Calculator
 
Pre-observation Form Oct 2013
Pre-observation Form Oct 2013Pre-observation Form Oct 2013
Pre-observation Form Oct 2013
 
Formal Observation/Notes October 2013
Formal Observation/Notes October 2013Formal Observation/Notes October 2013
Formal Observation/Notes October 2013
 
Algebra II Classroom and Homework Expectations
Algebra II Classroom and Homework ExpectationsAlgebra II Classroom and Homework Expectations
Algebra II Classroom and Homework Expectations
 
Sina workshop, day 1, january 25, 2013
Sina workshop, day 1, january 25, 2013Sina workshop, day 1, january 25, 2013
Sina workshop, day 1, january 25, 2013
 
Iowa Assessment Math Growth Rates Grades 7-11th
Iowa Assessment Math Growth Rates Grades 7-11thIowa Assessment Math Growth Rates Grades 7-11th
Iowa Assessment Math Growth Rates Grades 7-11th
 
Geometry Chapter 3 Test Scores and Retake Test
Geometry Chapter 3 Test Scores and Retake TestGeometry Chapter 3 Test Scores and Retake Test
Geometry Chapter 3 Test Scores and Retake Test
 
Alg II 3-6 Solving Systems - Matrices
Alg II 3-6 Solving Systems - MatricesAlg II 3-6 Solving Systems - Matrices
Alg II 3-6 Solving Systems - Matrices
 
Alg II 3-5 Sytems Three Variables
Alg II 3-5 Sytems Three VariablesAlg II 3-5 Sytems Three Variables
Alg II 3-5 Sytems Three Variables
 
Alg II 3-4 Linear Programming
Alg II 3-4 Linear ProgrammingAlg II 3-4 Linear Programming
Alg II 3-4 Linear Programming
 
Alg II 3-3 Systems of Inequalities
Alg II 3-3 Systems of InequalitiesAlg II 3-3 Systems of Inequalities
Alg II 3-3 Systems of Inequalities
 

10-7 Areas of Circles and Sectors

  • 1.
  • 2. Essential Understanding  You can find the area of a circle when you know its radius. You can use the area of a circle to find the area of a circle formed by two radii and the arc the radii when they intersect with the circle  Students will be able to find the areas of circles, sectors, and segments of circles
  • 3. Area of a Circle  A = πr2  What is the area of circular wrestling region with a 42 ft diameter?  What is the area of a circular ice skating rink with a radius of 24 ft?
  • 4. Area of a Sector  Sector of a circle: region bounded by an arc of the circle and two radii to the arc’s endpoints.  A circle has radius of 4 in. What is the area of a sector bounded by a 45° minor arc? Leave your answer in terms of π.
  • 5.
  • 6. Segment of a Circle  Part of a circle bounded by an arc and the segment joining its endpoints.  To find the area of a segment for a minor arc, draw radii to form a sector. The area of the segments equals the area of the sector minus the area of the triangle formed
  • 7. Finding Area of a Segment  What is the area of the shaded segment shown below? Round your answer to the nearest tenth.
  • 8.
  • 9. Homework  Pg. 663  # 8 – 32 even, 46  14 problems