![Name ________________________________Date _____________________<br />Mrs. Labuski & Mrs. Rooney Period _____Lesson 10-5 Circle<br />VOCABULARYDEFINITIONEXAMPLECIRCLESet of all points in a plane that are the same distance from a given point called the center.The center is the name of the circleACircle ARADIUS(radii)A line segment with one endpoint at the center of the circle and the other endpoint on the circleDIAMETERA line segment that passes through the center of the circle and has both endpoints on the circleCHORDA line segment that does NOT pass through the center of the circle but has both endpoints on the circle<br />Use the picture on the right to answer the following questions:<br />1. Name the circle ____Circle X____________________<br />2. Name the two diameters of the circle. WY and VZ<br />3. Name the four radii of the circle. WX (XW), VX (XV), ZX (XZ) ,YX (XY)<br />4. Name the chord of the circle. YZ<br />VOCABULARYDEFINITIONEXAMPLEPIπThe ratio of the circumference to the diameter.π = 3.14 or CIRCUMFERENCEThe distance around the edge of a circle.Formula: C= πd<br />What does π mean? <br />,[object Object]](https://image.slidesharecdn.com/lesson10-5circles-110316110620-phpapp02/85/lesson-10-5-circles-1-320.jpg)
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Lesson 10 5 circles
- 2. Measure the distance around the edge (circumference) of the cookie with the licorice lace.
- 3. Cut off any extra licorice.
- 4. Now lay the licorice across the diameter of the cookie.
- 5. Cut off any extra licorice.
- 6. Lay the licorice across the diameter of the cookie again.
- 7. Cut off any extra licorice.
- 8. Lay the licorice across the diameter of the cookie again.
- 9. Cut off any extra licorice.
- 10. How many pieces do you have? ___________
- 11. How many diameters equal one circumference? ___________
- 12. How do we represent this ratio between the diameter and the circumference? _____
- 13. To find the circumference of a large object, we can use the formula: ____________.
- 14. Find the diameter and multiply it by π
- 15. Let’s try some:
- 16. Find the circumference for each circle. Use 3.14 for π
- 17. d = 5r = 2.5r = 12d = 24
- 18. C = π dC = π d
- 19. C = 5π(left in terms of Pi)C = 24π(left in terms of Pi)
- 20. C =3.14 x 5C = _3.14 x 24
- 21. C = 15.7 inC = 75.36 m
- 22. Find the circumference for each circle. Use for π
- 23. r = 21d = 42r = 14d = 28
- 24. C = π dC = π d
- 25. C = 28π(left in terms of Pi)C = 42π(left in terms of Pi)
- 26. C = xC = x
- 28. C = xC = x
- 30. C = 22 x 4 C = 22 x 6
- 32. Measure the distance around the edge (circumference) of the cookie with the licorice lace.
- 33. Cut off any extra licorice.
- 34. Now lay the licorice across the diameter of the cookie.
- 35. Cut off any extra licorice.
- 36. Lay the licorice across the diameter of the cookie again.
- 37. Cut off any extra licorice.
- 38. Lay the licorice across the diameter of the cookie again.
- 39. Cut off any extra licorice.
- 40. How many pieces do you have? ___________
- 41. How many diameters equal one circumference? ___________
- 42. How do we represent this ratio between the diameter and the circumference? _____
- 43. To find the circumference of a large object, we can use the formula: ____________.
- 44. Find the diameter and multiply it by π
- 45. Let’s try some:
- 46. Find the circumference for each circle. Use 3.14 for π
- 47. C = π dC = _______________
- 48. C = _______________C = _______________
- 49. C = _______________C = _______________
- 50. Find the circumference for each circle. Use for π
- 51. C = π dC = _______________
- 52. C = _______________C = _______________
- 53. C = _______________C = _______________