Download Geometry 11-2 Arcs and Central Angles Notes

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Geometry 11-2 Arcs and Central Angles Notes
Central angle:_________________________________________________
Arc:_________________________________________________________
Minor arc:____________________________________________________
Major arc:____________________________________________________
Semicircle:___________________________________________________
Sum of the Arc Measures
in a Circle
Sum of the Central Angles
in a Circle
CENTRAL ANGLE
EXAMPLE 2
= ARC MEASURE
 mPCM = __________
P
 m PM = __________
 m PNM = ______________________
110
C
M
 What kind of arc is PM? ________________
N
EXAMPLE 3
In circle E, mAEN = 18, JN is a diameter, and mJES = 90.
Find each measure.
a) m AN = __________
J
E
N
b) m JA = __________
c) m JAS = __________
A
S
EXAMPLE 4 Based on the angle measures given,
find the measure of each of the following:
a) m AB = __________
A
B
b) m AD = __________
c) m AC = __________
d) m BC = __________
45
E
e) m ADC = __________
f)
O
65 85
m ACD = __________
C
g) m AE = __________
h) mDOE = __________
i)
D
mEOA = __________
EXAMPLE 5 Find the measure of each of the following:
a) AOB = __________
A
x
(3x + 15)
b) BOC = __________
B
O
4x
c) COD = __________
d) AOD = __________
C
D
(2x+15)

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