Honors Geometry
Chapter 10
Review Packet #1
Name ________________________
Date_________________________
Find each missing length(s).
1.
6
2.
3.
4
2
x
x
2
x
5
4
10
4
4.
5.
6.
5
4
x
9
4
x
12
x
3
8
7.
y
x
17
8
z
8. Square ABCD, with an area of 225in2 , is inscribed in a circle.
a) Find the measure of ABC
b) Find the length of diagonal AC
9. Given: Circle T with radius 5 cm
Find: a) AB = __________
A
b) BT = __________
60
T
c) m  TAB  __________
d) CB = __________
C
B
B
10. Given: Radius of Circle A = 15
Radius of Circle D = 8
AD = 25
Find: BC
C
D
A
11. Given: PA 11, AT  7, PT 10
Find: Radius for each circle
T
T = _______
A = _______
P
P = _______
12. Given:
A
Circle T
AS  3 x  4
SC  4 x  10
ST  7 x  6
T
A
Find:
13. Given:
Find:
AC = _________
TS = _________
AT = _________
S
C
B
Circle B
AB = 18
m  ABC  80
mAC  ________
Circumference of
C
B
A
B = ________
Length of AC  ________
14. Given:  ABC is equilateral. OA is a radius. AC  10
Find: Length AB
O
A
B
C
X
C
15. Given: AB  30, BC  40, CD  50
Z
Find:
D
 X  ____________
 Y  ____________
 Z  ____________
A
Y
16. Find x and y.
x
3
9
5
y
10
A
17. Given: O, m  OAC  35
Find: m  B
O
C
B
18. Find the length of QR.
Q
P 6
R
19. Given: J , KM is a diameter with radius 18, and m KJL  140
Find: Length of each minor arc
K
L
J
M
20. What is the length of a radius of a circle whose area is 100 cm2 ?
21. The circumference of a circle is 20 in. Find this circle’s area.
22. What is the length of a chord 6 inches from the center of a circle if the diameter of
the circle is 20 inches?
23. AC is a chord of CIRCLE D. B is the midpoint of AC . If AC  48 mm and
BD  7 mm, find the diameter of the circle.
24. Two concentric circles have radii of 10 in and 26 in. Find the length of a chord of
the larger circle that is tangent to the smaller circle.
25. Two externally tangent circles have radii of 9 cm and 23 cm. Find the length of a
common external tangent.
For #26-34, find the value of each variable.
26.
27.
x
80
y
110
x
75
y
120
120
80
260
28.
29.
y
x
x
30.
31.
y
x
80
40
x
O
P
x
32.
33.
O
x
35
O
20
34.
35.
HEXAGO is a hexagon and is
inscribed in the circle.
H
50
E
x
O
O
X
G
A
m HEX  ________
36. Given:
Circle O
Find:
mAC 150
mDB  64
1.
m AB  ___________
mCF  26
m 5  55
2.
m FE  ___________
3.
mCDA  __________
4.
mCAB  __________
5.
m FD  ___________
6.
m 1  ___________
7.
m  2  ___________
8.
m  3  ___________
9.
m  4  ___________
10.
m  6  ___________
11.
m  7  ___________
12.
m  8  ___________
13.
m  9  ___________
14.
m 10  __________
2
1
C
F
A
9
3
O
4
5
E
6
8
7
10
B
D