74° 38° x° for each circle, find the measure of x. 1. 2. 3
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104°
x°
74° 38°
x°
x°142°
68°
For each circle, find the measure of x.
1. 2.
3.
Math II
UNIT QUESTION: What special properties are found with the parts of a circle?Standard: MM2G1, MM2G2
Today’s Question:How do we find segment lengths in circles?Standard: MM2G3.b
6.6 Segment Lengths in Circles
Find the lengths of segments of chords
Find the lengths of segments of tangents and secants
a
bc
d ab = cd
part part = part part
9
2
6xx = 3
3
2
12
y
y = 83
26
z
z = 1
Ex: 1 Solve for x.
Ex: 2 Solve for x.
8
12
2x
3x
2x 3x = 12 8
6x2 = 96x2 = 16
x = 4
E A B
C
D
EA • EB = EC • EDoutside whole = outside whole
EA
B
C
D
713
4
x
7 (7 + 13) 4(4 + x)=
Ex: 3 Solve for x.
140 = 16 + 4x124 = 4x
x = 31
E
A
B
CD 8
5
6
x
6 (6 + 8) 5(5 + x)=
Ex: 4 Solve for x.
84 = 25 + 5x59 = 5x x = 11.8
E
A
B C
EA2 = EB • ECoutside whole = outside whole
E
A
B C
24
12 x
outside whole = outside whole 242 = 12 (12 + x)576 = 144 + 12x x = 36
Ex: 5 Solve for x.
E
A
B
C
15
5
x
outside whole = outside whole x2 = 5 (5 + 15)
x2 = 100
x = 10
Ex: 6
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