Geometry - Grosse Pointe Public Schools
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. ______________ 5. ______________
6. ______________ 7. ______________
8. ______________ 9. ______________
10. ______________ 11. ______________
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 = _______ 19. m = ________ 20. m = ________
m = __________ m = ______ m = ______
21. m = _______ 22. m = ________ 23. m = ________
m = __________ m = ______ m = ______
Find the indicated measures for each circle O.
24. m ( ABC = _______ 25. m ( ABC = _____ 26. m ( ABC = _____
m = __________ m = ______ m = _______
27. m = _______ 28. m = _______ 29. m = _______
m = _______ m = _______ m = _______
30. m ( BAC = _______ 31. m (CAB = ______ 32. m = ______
m = __________ m = ________ m = ________
33. m = 60( 34. AX = BX m ( 1 = 25( 35. m = _______
m ( 1 = _______ m ( 2 = _______ m = __________
m ( 2 = _______ m AB = _______ m = _________
m AD= _______
36. [pic] is a diameter of circle O. 37. [pic] is a diameter of circle O.
m = 260( m = 40( 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. 40.
m BC = _______ m ( BOC = ______ m BC = __________ m ( BAC = ______ m CD = ______ m BC = ______
m BAC = ______ m BAC = _________ m (BOC = _____ m (BAC = _____
41. 42. 43.
x = _________ y = _________ x = _________ y = _________ m PQN = ______ m PON = ______
m (PQN = ______ m (PON = ______
m QP = ______ m NO = ______
-----------------------
AE
AEB
DFB
FDE
BE
FA
FBD
BDA
PQ
PQ
PQ
PXQ
PXQ
PRQ
QS
GH
AB
QRS
ADB
GFH
ABC
ABC
ABC
BDC
BC
BC
BAC
ABC
BAC
BC
BAC
BAC
BAC
UD
AB
AD
UQD
YZA
XY
................
................
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