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Geometry Worksheet 11.1-11.2 Angles and Arcs in a Circle Name______________________________________ What is the difference between a minor arc and a major arc?____________________________________________________ How many letters do we use to name a MINOR arc?_______________ How many letters to name a MAJOR arc? __________________ How many degrees are in a semi-circle? ____________ How many letters to name a SEMI CIRCLE ? __________________ NAME the arc shown in bold, then state if it is a MINOR arc, MAJOR arc, or a SEMICIRCLE. 1. 2. 3. Name of arc: ________ Type of arc: _________ Name of arc: ________ Type of arc: _________ Name of arc: ________ Type of arc: _________ Determine whether the given arc is a MINOR arc, MAJOR arc, or SEMICIRCLE. 4. AE ______________ 6. FDE______________ 8. FA ______________ 10. BDA______________ 5. AEB ______________ 7. DFB______________ 9. BE ______________ 11.FBD______________ Name the following for the circle at the right. 12. Two DIFFERENT minor arcs. __________ and ___________ 13. Two DIFFERENT major arcs. __________ and ___________ 14. Two DIFFERENT semi-circles.__________ and ___________ 15. There are ____________ degrees in a circle. 16. There are ____________ degrees in a semi-circle. 17. The measure of the arc is ____________________________ to the measure of the central angle. Find the measure of each arc. 18. m PQ = _______ 19. m PQ = ________ m PXQ = __________ mPRQ = ______ 21. m QS = _______ 22. m GH = ________ m QRS = __________ mGFH = ______ 20. m PQ = ________ mPXQ = ______ 23. m AB = ________ mADB = ______ Find the indicated measures for each circle O. 24. m ABC = _______ 25. m ABC = _____ 26. m ABC = __________ m ABC = ______ m 27. m BC 28. m BC = _______ m = _______ ABC = _______ m m ABC = _____ ABC = _______ 29. m BDC = _______ BAC = _______ m BAC = _______ 30. m BAC = _______ 31. m CAB = ______ 32. m BAC = __________ m m 33. m AB = 60 34. AX = BX m 1 = 25 35. m m 1 = _______ m 2 = _______ m AD m 2 = _______ m AB = _______ m UQD = _________ = ________ BAC m BC = ______ BAC = ________ UD = _______ = __________ m AD= _______ 36. AZ is a diameter of circle O. m YZA = 260 m XY = 40 37. AC is a diameter of circle O. m AB = 50 m DC = 80 m AX = _______ m ABZ = ______ m 1 = _____ m 2 = _______ m YZ = _______ m XAY = _____ m 3 = _____ m 4 = _______ m YAZ = _______ m XAZ = _______ m 5 = _____ m AD = _______ Inscribed and central angles in the same picture – keep ‘em straight!! 38. 39. m BC = _______ m BOC = ______ m BC = __________ m BAC = ______ m BAC = ______ m BAC = _________ 41. 42. x = _________ y = _________ x = _________ y = _________ 40. m CD = ______ m BOC = _____ m BC = ______ m BAC = _____ 43. m PQN = ______ m PON = ______ m PQN = ______ m PON = ______ m QP = ______ m NO = ______