Opener Simplify or Solve: 1. x + 3(x – 6) 2. 4x + 5 = -9 3. (3 + x)y + x² + 2xy 4. 6(x + 2) + 4x + 9 5. 2x + x – 6 = 3 6. –(x + 7) = -3.

Slides:



Advertisements
Similar presentations
Objective: Find the circumference and area of circles.
Advertisements

Warm-Up Exercises Simplify the expression. ANSWER 1 8 3π3π (9π)
Advanced Algebra Trigonometry Appendix B
If the diameter of a circle is 6 in, then what is its radius?
How do I find the surface area and volume of a sphere?
MM2G4 Students will use apply surface area and volume of a sphere. MM2G4 a Use and apply the area and volume of a sphere. MM2G4 b Determine the effect.
EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator. =
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.
9.1 – 9.2 Exploring Circles Geometry.
Circles: Area and Circumference. Definitions Circumference: Distance around the outside of a circle Area: How many squares it takes to cover a circle.
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.
Place a piece of string round the circle and then open it out flat:
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.
What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.
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.
Lesson 6-9 Pages Geometry: Circles and Circumference (and Area) Lesson Check 6-8.
6.7 Circumference & Area Notes. Circumference The distance around a circle. Do you remember the formula??? C = 2  r or C =  d * Always use the  button.
Warm-Up  Multiply.  1.89 x 97  x 76  x 34  4.38 x 28.
EXAMPLE 1 Rewrite a formula with two variables Solve the formula C = 2πr for r. Then find the radius of a circle with a circumference of 44 inches. SOLUTION.
A circle is a closed curve in a plane. All of its points are an equal distance from its center.
Mark Arcaro Geometry High School  After Today’s Lesson I Can… ◦ Identify the different parts of a circle. ◦ Solve for the circumference of a circle.
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.
11.4 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Circumference and Arc Length.
1.4 – Rewrite Formulas and Equations. Example 1: Solve the formula C = 2pir for r. Then find the radius of a circle with a circumference of 44 inches.
Use the formula for circumference
Warm-Up Find the area: Circumference and Area Circles.
Lesson 8.7 Circumference and Area of Circles Pages
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 Area Signed Number Operations Unit.
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.
Circumference and Area of Circles Math 7. Vocabulary circle centerA circle is a set of points in a plane that are the same distance from a given point,
Do now: Work out the circumferences and areas of these circles 10 cm 12 cm 9 cm 2 cm 1.5 cm.
Warm-up 8.5 Area of Circles and 8.1 to 8.4 Quiz. Answers to H.W. pg 443 #1-8.
Geometry – Circles.  Circles are shapes made up of all points in a plane that are the same distance from a point called the center.  Look at this example.
Section 1.7. Recall that perimeter is the distance around a figure, circumference is the distance around a circle, and area is the amount of surface covered.
Do Now Evaluate   Simplify each expression.
Circles. diameter Circumference radius Circumference- the distance around the circle. About 3X the diameter.
9-1 Exploring Circles Objectives: To identify and use parts of circles. To solve problems involving the circumference of a circle.
January 31st, 2013 Homework: Worksheet on area and circumference Do Now: 1. A circle has a diameter of 31 cm. What is the area of the circle? Round if.
CIRCLES CIRCUMFERENCE & AREA. CIRCUMFERENCE C = ΠdorC = 2Πr 12cm.
How to Find the Area of a Circle by : Rachel Sorenson.
EXAMPLE 1 Rewrite a formula with two variables Solve the formula C = 2πr for r. Then find the radius of a circle with a circumference of 44 inches. SOLUTION.
AREA OF A CIRCLE Learning Target 4: I can solve problems using area and circumference of a circle.
0-7: PERIMETER. 0-7: Perimeter  Perimeter: The distance around a figure. Perimeter is measured in linear units.
How do you find the circumference of a circle? For Example A circle has a radius of 8 centimeters. What is the circumference of the circle?
Circles By Darude & Snoop Dug. Dis is a Circle How do you work out the area of a circle?
Circles OCR Stage 6.
Notes Over 3.3Circles The circumference of a circle is the distance around the circle. Example Find the circumference of a circle with a diameter of 5.
Warm Up 4. Label the circle with the following parts: radius, diameter, circumference.
EXAMPLE 1 Rewrite a formula with two variables Solve the formula C = 2πr for r. Then find the radius of a circle with a circumference of 44 inches. SOLUTION.
Objective: Solve equations using area circumference, diameter, and radius.
Do Now:. Circumference What is circumference? Circumference is the distance around a circle.
Circles. Parts of a Circle Center The diameter is the distance across the circle through the center The radius is the distance to the center point.
Opener. Opener-Answers 1.-5x x -5x + 5x
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.
10.1 Circle and Circumference Then: You identified and used parts of parallelograms Now: 1. Identify and use parts of circles. 2. Solve problems involving.
Circles Circles are EVERYWHERE..
CIRCUMFERENCE.
Who Wants to be an Equationaire?. Who Wants to be an Equationaire?
Sec Circumference and Arc Length p.649
Circles 8.1.
Essential Questions: Standards:
Geometry: Circles and Circumference
Presentation transcript:

Opener Simplify or Solve: 1. x + 3(x – 6) 2. 4x + 5 = (3 + x)y + x² + 2xy 4. 6(x + 2) + 4x x + x – 6 = 3 6. –(x + 7) = -3

Opener-Answers 1.x + 3(x – 6) x + 3x – 18 4x – 18

Opener-Answers

3. (3 + x)y + x² + 2xy 3y + xy + x² + 2xy 3y + xy + 2xy + x² 3y + 3xy + x² x² + 3xy + 3y

Opener-Answers 4. 6(x + 2) + 4x + 9 6x x + 9 6x + 4x x + 21

Opener-Answers

Ch Circumference of a Circle Page 596

Problem 1 - page 596 Obtain a string and centimeter ruler for each member of your group… Recall that the circumference of a circle is the distance around the circle. Let’s explore circles. Use a string and centimeter ruler to measure the radius and circumference of each circle. Measure circles #1, 3 and 5 only. (Circles A, C & E only.)

Problem 1 - page 596 Obtain a string and centimeter ruler for each member of your group… CircleRadiusDiameterCircumference Circle 1 (A) Circle 3 (C) Circle 5 (E) 6.Record your measurements from Questions 1 through 5 and complete the table.

Skip Problem 2-pages Page 602 Problem 3…read for me please… 1.Use this information to write a formula for the circumference of a circle, where d represents the diameter of a circle and C represents the circumference of a circle. 2. Rewrite the formula for the circumference of a circle where r represents the radius of a circle and C represents the circumference of a circle.

Still on page 602 C = (4.5)(3.14) C = cm 4. The radius of a circle is 6 inches. Compute the circumference of the circle using the circumference formula. C = (2)(3.14)(6)

STILL on page 602! 5. The circumference of a circle is feet. Compute the diameter of the circle using the circumference formula. Work on #6 & 7 in your groups until the end of class. If you finish, work on your homework.