11.2.3 Segment Relationships in Circles - Worksheet
Example 1: Find the value of the variable and the length of each chord. 1. 2.
3.
z P
S
R
8
A
T
H
6
x
8
10
Q
E 4 6 6
K 4
y
L
D
M
C
3
J
B
Example 2: 4. A section of an aqueduct is based on an arc of a circle as shown. EF is the perpendicular bisector of GH . GH = 50 ft, and EF = 20 ft. What is the diameter of the circle?
E
H
G
F
Example 3: Find the value of the variable and the length of each secant segment. 5. x A B C 7.2 6. R 7.
J
10.7
y
7.2
H
Q
10
D
5
9
x
P
G
7
L
11.5
K
6
S
E
T
Example 4: Find the value of the variable. 8.
9.
10.
N
S
4
C
x
M
6
U
R
8
3
T
3
B
2
y
P
A
z
D
Q
270
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