Chapter 6 – Circles In previous chapters, you have extensively studied triangles and quadrilaterals to learn more about their sides and angles. In this.

Slides:

Advertisements

Similar presentations

Lesson 10.1 Parts of a Circle Today, we are going to…

Advertisements

10.5 Tangents & Secants.

Arcs Tangents Angles Sphere Circumference What is Unit 3 about?

Circles Review Unit 9.

Chapter 10 Geometry Jeopardy

Perimeter and Area. Objectives Calculate the area of given geometric figures. Calculate the perimeter of given geometric figures. Use the Pythagorean.

TODAY IN GEOMETRY…  Warm up: Writing equations of a circle  Learning Target : 11.4 You will find the arc length and circumferences of circles  Independent.

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

Polygons, Circles, and Solids

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.

Circumference of a Circle Lesson Perimeter the perimeter is the distance around a figure.

Ms. Cuervo CAHSEE Prep CIRCUMFERENCE. Circumference 7MG 1.2 Students will use pi to find the circumference and diameter of circles. VOCABULARY Circumference:

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

Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.

In Chapter 4, you investigated similarity and discovered that similar triangles have special relationships. In this chapter, you will discover that the.

AREA, PERIMETER CIRCUMFERNCE, AND VOLUME Perimeter And area Triangles and trapezoids Circles Volume and complex figures

Prerequisite 12.0 OBJECTIVE:  Solve for area of various quadrilaterals, triangles, and circles  Solve for perimeter of irregular figures and circles.

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Triangles Polygons Similar or Congruent?

6.9 What More Can I Learn About Circles? Pg. 23 Chords and Angles.

3.3 How Can I Use a Square? Pg. 11 Squares and Square Roots.

Circle GEOMETRY Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.

Circumference and Area: Circles

6.7Circumference and Arc Length Theorem 6.19 The circumference C of a circle is C = ____ or C = _____, where d is the diameter of the circle and r is.

Triangles Triangles Triangles Let’s Discover: Triangle Cut-Apart.

10/14/ : Circumference and Area of Circles 5.3: Circumferences and Areas of Circles Expectation: G1.6.1: Solve multistep problems involving circumference.

3.3 How Can I Find the Height? Pg. 9 Heights and Areas of Triangles.

Geometry Chapter 11 Review. Solve for x Each exterior angle of a regular n-gon measures 40°. What is the value of n?

Section 10.6 Equation of Circles

3.3 How Can I Find the Height? Pg. 9 Heights and Areas of Triangles.

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.

1.8: Perimeter, Circumference, and Area

5.4 What If The Triangle Is Equilateral? Pg. 9 Equilateral Triangles.

Triangles Triangles Triangles Let’s Discover: Triangle Cut-Apart.

How much fencing do we need for our pasture? How much border do we need for our nursery? Bessie got away again!

In Chapter 4, you investigated similarity and discovered that similar triangles have special relationships. In this chapter, you will discover that the.

5.3 What Patterns Can I Use? Pg. 10 Constant Ratios in Right Triangles.

Review:labeled part Write the name of each of the circle E. B. C. A. D.

Ms. Cuervo CAHSEE Prep CIRCUMFERENCE. Circumference 7MG 1.2 Students will use pi to find the circumference and diameter of circles. VOCABULARY Circumference:

Geometry/TrigName: __________________________ Ratio of Perimeters & Areas ExplorationDate: ___________________________ Recall – Similar Figures are figures.

Circles and circumference (compass)

5.2 What If The Triangle Is Equilateral? Pg. 6 Equilateral Triangles.

Circle Formula Drills!!!!!!!!!!. Circle Drill & Practice I’m going to ask you to remember some formula. When you think you know the answer, (or if you.

GEOMETRY; AGENDA; DAY 48 MON. 2 nd 9-WEEKS, [OCT. 28, 2013] BLOCK SCHEDULE (ODD-PERIODS 1, 3, & 5) OBJECTIVE: Review concepts for EOC testing. Review construction.

Circles: Arcs, Angles, and Chords. Define the following terms Chord Circle Circumference Circumference Formula Central Angle Diameter Inscribed Angle.

Welcome Back! Please Take a Seat Geometry Ms. Sanguiliano.

10.1 Circles and Circumference. Objectives Identify and use parts of circles Identify and use parts of circles Solve problems using the circumference.

Other Angle Relationships in Circles

Pythagorean Theorem, Perimeter, Circumference, Area ….

Previous Volume Applications Find the volume of each figure. 1.rectangular prism with length 20 cm, width 15 cm, and height 12 cm 20cm 15cm 12cm V = Bh.

Perimeter and Area with Circles. Circumference of a Circle Circumference is the perimeter of the circle Formula: or (for exact answers, leave π in your.

Copyright © Cengage Learning. All rights reserved. 12 Geometry.

Sections Perimeter and Area with Circles.

Easy as “Pi” By Yamira Hart 6 th Grade Math Maven.

Holt Geometry 1-5 Using Formulas in Geometry Warm Up Evaluate. Round to the nearest hundredth () 6. (3) 2.

Segment Lengths in Circles 10.5 Chapter 10 Circles Section 10.5 Segment Lengths in Circles Find the lengths of segments of chords. Find the lengths of.

G-11 (1-5) Using formulas in Geometry I can use formulas to compute perimeter and area of triangles, squares, rectangles, and circles.

March 8 th,  Problem 1) A) What is the formula for the area of a circle? B) What is the formula for the circumference of a circle? C) How do these.

Circles Chapter 10.1.

Perimeter Area and Circumference

Using Properties of Circles

Secants, Tangents and Angle Measures

Lesson: Angle Measures and Segment Lengths in Circles

Chapter 7 How to write and solve ratios and proportions Prove or disprove polygons are similar Prove triangles are similar by AA, SSS, SAS Apply similar.

Section 10.4 – Other Angle Relationships in Circles

Segment Lengths in Circles

T—06/02/09—HW #76: Pg : 1—10, 12—16; Pg : 1—43 odd

Perimeter and Circumference

11.1: Circumference and Arc Length

Presentation transcript:

Chapter 6 – Circles In previous chapters, you have extensively studied triangles and quadrilaterals to learn more about their sides and angles. In this chapter, you will connect your understanding of polygons with your knowledge of the area ratios of similar figures to find the area and circumference of circles of all sizes. You will explore the relationships between angles, arcs, and chords in a circle. Then you will find the equation of a circle using the Pythagorean Theorem.

In this chapter, you will learn: how to find the area and circumference of a circle and parts of circles and use this ability to solve problems in various contexts. how to use the relationships between angles, arcs, and line segments within a circle to solve problems how to find the measures of angles and arcs that are formed by tangents and secants about the relationships between the lengths of segments created when tangents or secants intersect outside a circle. how to find the equation of a circle and graph circles

What If There Are No Sides? Pg. 4 A Special Ratio and Circumference 6.1 What If There Are No Sides? Pg. 4 A Special Ratio and Circumference

6.1 – What If There Are No Sides? A Special Ratio and Circumference In previous chapters you discovered the perimeter and area of polygons. Today you will discover how to find the perimeter of a shape with no sides, a circle.

6.1 – PARTS OF A CIRCLE Examine the picture of the circle shown. Explain how the radius and diameter are related. Then explain what the circumference of a circle measures. Circumference is length around the circle, perimeter

6.2 – RATIOS OF CIRCLES Find the measure of the circumference by wrapping a string around the entire perimeter of the circle and then measuring how long the string is in centimeters. Then estimate the diameter (length across the circle). Then write the ratio. What do you notice? What value are you finding?

6.3 – CIRCUMFERENCE FORMULA a. Use the relationship you just discovered to find the formula for the circumference of a circle.

b. Since the diameter is twice the size of the radius, write a new equation for the circumference of a circle when given the radius instead of the diameter by substituting in

a. Find the circumference of a circle with a diameter of 12 inches. 6.4 – MISSING INFORMATION Using your understanding of the relationship between circumference (perimeter of a circle) and the diameter, find the missing values. a. Find the circumference of a circle with a diameter of 12 inches.

c. Find the circumference of a circle with a radius of 16 inches c. Find the circumference of a circle with a radius of 16 inches. Leave answers in terms of pi.

d. Michael noticed a pattern in the relationship between the radius, diameter, and circumference. Complete the table below. Be sure to leave pi in your answer when finding the circumference. 3 5 10 15 24 2r

6.5 – WHEELS GO ROUND AND ROUND Evelyn's in-line skate wheels have a 0.42m diameter. How many meters will Evelyn travel after 5000 revolutions of the wheels on her in-line skates?

6.6 – FENCING Iann has a garden in the shape shown below. Find the amount of fencing required to contain the garden. Leave answers in terms of pi. 2 mm

6.7 – LENGTH AROUND Bethaney decides to run around the schools track one time. Determine how far she ran. Leave answers in terms of pi. m

6.8 – CAN LABEL Determine the length of the label for the tuna can. Leave answers in terms of pi.

http://www.youtube.com/watch?v=GmiXemW_oBQ