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Circles

Engage in hands-on learning with circle templates, scissors, ruler, and yarn for circumference measurements. Explore radius, diameter, and circumference calculations in a team setting. Assess your understanding with self-assessment criteria. Discover the relationships between radius, diameter, and circumference.

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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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