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Circles

Student materials : Copy of Circle Investigation, Scissors, Centimeter Ruler, and Yarn. Circles. 10.3 Notes. Circumference of Circles. Determine the diameter if you don’t know it Copy the equation (don’t just solve in your head) Substitute the numbers for the variables Solve. I can….

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Circles

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

  2. 10.3 Notes Circumference of Circles • Determine the diameter if you don’t know it • Copy the equation (don’t just solve in your head) • Substitute the numbers for the variables • Solve

  3. I can… • Find the diameter of a circle • Find the radius of a circle • Calculate the circumference of a circle Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  4. Center

  5. Radius

  6. Radii

  7. Diameter

  8. Circumference

  9. Chord

  10. 2)d = r 2r = d 2 X Radius = Diameter Radius + Radius Diameter Diameter ÷ 2 = Radius

  11. A. 1 in B. 3 in 3 in D = ? C. 6 in D. 12 in

  12. A. 3 in B. 6 in 6 in D = ? C. 9 in D. 12 in

  13. A. 3 in B. 6 in 6 in R = ? C. 9 in D. 12 in

  14. A. 1.5 in B. 3 in 3 in R = ? C. 6 in D. 12 in

  15. Circle Investigation • Using the provided circle templates, you and your teammate(s) will: • Cut out circle templates • Measure the radius and diameter of each circle to the nearest tenth of a centimeter • Measure the circumference with yarn and then measure the yarn to the nearest tenth of a centimeter • Divide the circumference by the diameter • Fill in the table for each circle • Discuss and answer questions on the bottom of the worksheet

  16. Investigation Discussion • How is the radius related to the diameter? • How are the radius and the circumference related? • How are the diameter and the circumference related?

  17. How do you find the circumference of a circle? Circumference is the symbol for the Greek letter Pi.

  18. Pi is an irrational number.

  19. 3.1415926538979323846... 3.14

  20. D = π)c Circumference C = πd Diameter x 3.14 = Circumference 3.14 = Pi Pi = π

  21. C = πd 8 ft • 25.12 • 2.512 • 24.32 • 24.82 3.14 = Pi

  22. C = πd 15 cm • 32.46 • 46.21 • 47.1 • 74.1 3.14 = Pi

  23. C = πd 25 cm • 75.83 • 57.8 • 5.78 • 78.5 3.14 = Pi

  24. C = πd 10 m • 62.8 • 6.28 • 31.4 • 3.14 3.14 = Pi

  25. C = πd 15 m • 4.71 • 47.1 • 92.4 • 94.2 3.14 = Pi

  26. 40 yds R = ? • 20 • 40 • 60 • 80

  27. 16 m R = ? • 4 • 8 • 16 • 32

  28. 20 cm D = ? • 10 • 20 • 30 • 40

  29. 16 ft D = ? • 8 • 16 • 32 • 48

  30. I can… • Find the diameter of a circle • Find the radius of a circle • Calculate the circumference of a circle Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  31. 10.3 Notes Circumference of Circles • Determine the diameter if you don’t know it • Copy the equation (don’t just solve in your head) • Substitute the numbers for the variables • Solve

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