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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 = ______
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