10.6 circles and arcs
- 1. and Objective: Find the measures of central angles and arcs.
- 2. A CIRCLE is the set of all points equidistant from a given point called the center. This is circle P for Pacman. Circle P P
- 3. A CENTRAL ANGLE of a circle is an angle with its vertex at the center of the circle. Central angle
- 4. An arc is a part of a circle. In this case it is the part Pacman would eat. Arc
- 5. One type of arc, a semicircle, is half of a circle. P A C Semicircle ABC m ABC = 180 B
- 6. A minor arc is smaller than a semicircle.
- 7. A major arc is greater than a semicircle.
- 8. A minor arc is smaller than a semicircle. A major arc is greater than a semicircle.
- 9. R S P RS is a minor arc. mRS = m RPS.
- 10. L N M O LMN is a major arc. mLMN = 360 – mLN
- 11. R S P L N M RS is a minor arc. mRS = m RPS. O LMN is a major arc. mLMN = 360 – mLN
- 12. A C D Identify the following in circle O: 1) the minor arcs EO
- 13. A C D Identify the following in circle O: 1) the minor arcs EO AD
- 14. A C D Identify the following in circle O: 1) the minor arcs EO AD, CE
- 15. A C D Identify the following in circle O: 1) the minor arcs EO AD, CE, AC,
- 16. A C D Identify the following in circle O: 1) the minor arcs EO AD, CE, AC, & DE
- 17. A C D Identify the following in circle O: 1) the minor arcs EO AD, CE, AC, & DE
- 18. A C D Identify the following in circle O: 2) the semicircles EO
- 19. A C D Identify the following in circle O: 2) the semicircles EO ACE
- 20. A C D Identify the following in circle O: 2) the semicircles EO ACE, CED
- 21. A C D Identify the following in circle O: 2) the semicircles EO ACE, CED, EDA
- 22. A C D Identify the following in circle O: 2) the semicircles EO ACE, CED, EDA, & DAC
- 23. A C D Identify the following in circle O: 2) the semicircles EO ACE, CED, EDA, & DAC
- 24. A C D Identify the following in circle O: 3) the major arcs containing point A EO
- 25. A C D Identify the following in circle O: 3) the major arcs containing point A EO ACD
- 26. A C D Identify the following in circle O: 3) the major arcs containing point A EO ACD, CEA
- 27. A C D Identify the following in circle O: 3) the major arcs containing point A EO ACD, CEA, EDC
- 28. A C D Identify the following in circle O: 3) the major arcs containing point A EO ACD, CEA, EDC,& DAE
- 29. A C D Identify the following in circle O: 3) the major arcs containing point A EO ACD, CEA, EDC,& DAE
- 30. The measure of a central angle is equal to its intercepted arc. 53o 53o O P R
- 31. The measure of a central angle is equal to its intercepted arc. 53o 53o O P R
- 32. Find the measure of each arc. 1. BC = 2. BD = 3. ABC = 4. AB =
- 33. Find the measure of each arc. 1. BC = 32 2. BD = 3. ABC = 4. AB =
- 34. Find the measure of each arc. 1. BC = 32 2. BD = 3. ABC = 4. AB =
- 35. Find the measure of each arc. 1. BC = 32 2. BD = 90 3. ABC = 4. AB =
- 36. Find the measure of each arc. 1. BC = 32 2. BD = 90 3. ABC = 180 4. AB =
- 37. Find the measure of each arc. 1. BC = 32 2. BD = 90 3. ABC = 180 4. AB = 148
- 38. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 39. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 40. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 41. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 42. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 43. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 44. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 45. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 46. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 47. Here is a circle graph that shows how people really spend their time. Find the measure of each central angle in degrees. 1. Sleep 2. Food 3. Work 4. Must Do 5. Entertainment 6. Other
- 48. Homework: page 569 (1 – 26)