Circles M5G2: Students will understand the relationship of the circumference of a circle to its diameter is pi (π ≈ 3.14) M5M2: Students will extend their.

Slides:

Advertisements

Similar presentations

Radius The distance from the center of a circle to any point on the circle. M A point on the circle Center.

Advertisements

M5G2 – Students will understand the relationship of the circumference of a circle, its diameter, and pi (pi ≈ 3.14)

Circumference of a Circle Math 10-3 Ch.3 Measurement.

By Maria Bocanegra. The distance around a closed curved circle. WHAT IS CIRCUMFERENCE?

Definition: A circle is the set of all points on a plane that is a fixed distance from the center.

Perimeter Rectangles, Squares, and Triangles Perimeter Measures the distance around the edge of any flat object. To find the perimeter of any figure,

1.You will explain the definition of a circle, radius, chord, diameter, circumference and arc. 2.You will name and label the terms of a circle. 3.You will.

Area and Circumference of Circles

Circles & Circumference 8 th Grade Pre-Algebra Circles & Circumference PPT Molly Thompson.

1. 2 Circle A circle is the set of all points that are the same distance from a given point called the center.

Circles: Area and Circumference. Definitions Circumference: Distance around the outside of a circle Area: How many squares it takes to cover a circle.

GEOMETRYGEOMETRY Circle Terminology. Student Expectation 6 th Grade: 6.3.6C Describe the relationship between radius, diameter, and circumference of a.

Name ______ Gr.__ Lesson 4.2 – Circumference of a Circle Jan.__ Objective: to investigate the relationship between the circumference and diameter of a.

CIRCUMFERENCE OF A CIRCLE LEARNING TARGET 4: I CAN SOLVE PROBLEMS USING AREA AND CIRCUMFERENCE OF A CIRCLE.

  investigate the relationship between the diameter and circumference of a circle.

Circle Formulas Vocabulary: Circumference Radius Diameter Pi.

Review Multiplying decimals: 3.2 x 5.12 Multiplying fractions and whole numbers: 5 x 2/3.

Chapter 10 Lesson 1: Circles and Circumference Objective: Learn to find the circumference of circles.

Circles & Circumference Standard Math The circumference is the distance around a circle. Circumference Circumference is the perimeter of circles. Radius.

Circumference & Area of Circles Unit 5-3. Circumference Formula for Circumference: ** r is the radius ** ** 2r = d. d is the diameter. ** **Circumference.

Math Circumference of Circles & Area of Circles. Vocabulary A circle is the set of all points in a plane that are the same distance from a given point,

You will learn to find the perimeter and area for different shapes and the circumference of circles. s s Perimeter = 4s or s+s+s+s Area = s 2 l w P =

Circumference & Pi    3.14.

8-1C The Circumference of a Circle What is circumference? What is pi? What is the symbol for pi? What are the formulas for the circumference of a circle?

Pi Video. Vocabulary 1. Circle – a set of points equidistant from a given point. 2. Center- a given point from which all points are the same distance.

Chapter 10: Circles.

Area and Circumference of a Circle 2 Definitions A circle is the set of all points in a plane that are the same distance from a fixed point called the.

Volume of a Cylinder, Cone, and Sphere

8.7 Circumference and Area of Circles. Definition  A circle is the set of all points in a plane that are the same distance from a given point, called.

Lesson 7-2 Circumference and Area of Circles. Definitions Circle - A set of points in a plane that are the same distance away from a given point in the.

6.12 Solve problems involving the circumference &/or area of a circle when given the diameter or radius. Derive approximations for pi(π) from measurements.

LESSON 7.6 AREA AND CIRCUMFERENCE OF CIRCLES OBJECTIVE: To use formulas for the circumference and area of circles.

Circles. Center Radius Radii Diameter Chord.

Note 2: Perimeter The perimeter is the distance around the outside of a shape. Start at one corner and work around the shape calculating any missing sides.

Circumference and Diameter 1/31/2006. Circumference A circle is a shape with all points the same distance from the center. It is named by the center.

Chapter 4 L4-5 Notes: Perimeter. Vocabulary The distance around any closed figure is called its perimeter. P for “Plus” all Sides.

1 of 84 SHAPE AND SPACE Circles. 2 of 84 The circumference of a circle Use π = 3.14 to find the circumference of this circle. C = πd 8 cm = 3.14 × 8 =

The Circle. The language of circles Circumference: The distance round the circle Circumference: The distance round the circle Diameter: the distance from.

Circumference Lesson #33. What is Circumference? The distance around the outside of a circle is called the circumference (essentially, it is the perimeter.

Revision Formulae: Diameter = 2 x Radius Area of Circle = πr 2 Circumference of circle = 2πr = πd π = 3.14 approximately.

Circumference. Question 1 Which formula would be best to use to find the diameter of the following circle? C = 81 ft ?

Circumference Review. Review What is the relationship between a radius and a diameter? What does a circumference measure? What formulas do we use to calculate.

Introduction & Installation. Circles A circle is a shape with all points the same distance from the center. A circle is named by the center. The circle.

CIRCLES CIRCUMFERENCE & AREA. CIRCUMFERENCE C = ΠdorC = 2Πr 12cm.

By: Kay McInnis. Diameter DIAMETER is the distance across a circle passing through the center point.

Circles Review 3 rd Grade Geometry. What is the diameter of a circle?

+ Bell Work Solve 25 ⅚ -18 ⅜ 5 ⅛ + 7 ⅘. + Bell Work Answer 25 ⅚ -18 ⅜ 25 20/24 – 18 9/ /24 5 ⅛ + 7 ⅘ 5 5/ / /40.

Parts of a circle The distance around circle O is called the circumference of the circle. It is similar to the perimeter of a polygon.

The circumference and Area of a circle

Circumference of a Circle Objective: Investigate & explain the relationships among radius, diameter, and circumference.

By Renikki Alexander IDT 7062 Let’s Listen to the Circle Song "πr 2 sounds like area to me and when I need circumference I'll use πd."

Circles Circumference and Area 6 th Grade Math LaVergne Middle School.

Circumference & Surface Area Today’s lesson will cover…  finding circumference and surface area of circles  using formulas to solve problems involving.

Warm Up Decode these words and phrases. Mind 2. LU CKY Matter

The midpoint of a circle is centre The line drawn from the centre to the circumference is … radius.

Circles Shape and Space. The value of π For any circle the circumference is always just over three times bigger than the radius. The exact number is called.

Area & Perimeter Circumference of a Circle Grade 3.

Do Now:. Circumference What is circumference? Circumference is the distance around a circle.

Circles Shape and Space. The value of π For any circle the circumference is always just over three times bigger than the radius. The exact number is called.

Introduction & Installation. Circles A circle is a shape with all points the same distance from the center. A circle is named by the center. The circle.

Lesson 8.7 Concept: How to find the circumference of a circle. Guidelines: *The diameter of a circle extends from one side of the circle to the other.

Measurement π Discovering Pi

Circumference Definition: The distance around a circle. It’s a special word for perimeter. Picture:

I can solve problems using Area and Circumference of a Circle.

Unit 2: Ratios and Proportional Relationships

DO NOW Complete number 6 (Area and Perimeter) on sheet 6-8.

Finding area of circle using circumference

Student materials: Copy of Circle Investigation, Scissors, Centimeter Ruler, and Yarn Circles

Presentation transcript:

Circles M5G2: Students will understand the relationship of the circumference of a circle to its diameter is pi (π ≈ 3.14) M5M2: Students will extend their understanding of perimeter to include circumference. a) Derive the formula for the circumference of a circle. b)Find the circumference of a circle using the formula for pi ≈ 3.14.

Online Videos Circumference and Diameter of Circles (2:12) Circumference and Diameter of Circles Defining Circumference, Radius, Diameter (4:19) Defining Circumference, Radius, Diameter Perimeter, Circumference, and Area (2:12) Perimeter, Circumference, and Area Solving Problems with Circles (6:13) Solving Problems with Circles Song (parts of a circle, formulas) (1:33) Song (parts of a circle, formulas)

WordDefinition Circumference Distance AROUND a circle C = πd or C=2πr Diameter Line from one edge to another THROUGH the center (2 times r) Radius Line from one edge to the CENTER (1/2 of d) Pi Relationship between circumference and diameter. Approximately CenterMiddle of the Circle

Parts of a Circle

What is given?

What is the diameter?

What is the radius?

Derive Pi (π) Step 1: Measure the diameter of each circular item. Step 2: Measure the Circumference of each circular item. Step 3: Divide the Circumference by the Diameter Step 4: Average the findings for pi. (Add the final column and divide by how many circles you measured) ItemCircumferenceDiameterC/d = pi (π) 1

Investigation to Derive π Circles and Cylinders (30:00) Circles and Cylinders

Conclusions Pi is the ratio of the circumference of a circle to its diameter, a commonly used approximate for Pi is How close is your average to Pi? Find the difference between your average and Pi.

By definition, pi is the ratio of the circumference of a circle to its diameter. Pi is always the same number, no matter which circle you use to compute it. Circumference ÷ Diameter = Pi C ÷ D = π Or Pi x Diameter = Circumference

Formulas π = C ÷ d (ORIGINAL FORMULA) C = πd (USE WHEN YOU KNOW DIAMETER AND NEED CIRCUMFERENCE) d = C ÷ π (USE WHEN YOU KNOW CIRCUMFERENCE AND NEED DIAMETER)

Online Explorations Parts of a Circle Radius, Diameter, Circumference, and Area Diameter = 2 times radius game Explore relationship of radius to circumference *Change investigation parameters to C / d, don’t do problems…requires area Explore relationship of radius to circumference

Practice Problems Find the Circumference of the following circles. C = πd 1)Diameter = 10 in6) Diameter = 12 cm 2)Diameter = 15 in7) Diameter = 37 in 3)Diameter = 3m8) Diameter = 0.75 m 4)Diameter = 9 m9) Diameter = 1 yd 5)Diameter = 92 cm10) Diameter = 4.2 m

Practice Problems Find the diameter of the following circles. d = C ÷ π 1)C = 15.7 in6) C = 78.5 cm 2)C = in7) C = yd 3)C = 31.4 m8) C = 314 mm 4)C = m9) C = 1.57 km 5)C = yd 10) C = cm

Worksheets Naming circles, diameter, and radii Calculate radius and diameter of a circle Radius and Diameter of a circle Radius, Diameter, and Circumference Diameters and Radius