Honors Geometry Key
Chapter 10 Review
Name_________________________
Date_____________Period________
In problems 1-7, refer to the diagram and information given.
Given:
Circle O
Tangent EH , secants AC and AD
m DEH =50
m BCG =15
arc CD=70


arc FE=120

1. Find
m arc DE
1. _____100°_____
2. Find m FDE
2. ____60°_______
3. Find m arc BF
3. _____30°______

4. Find m arc CB
4. _____40°______
5. Find m CDF
5. _____35°______
6. Find m A
6. ______20°_____

7. Find m CGD
7. ______50°_____


8.
120°
9. Given: RC=18
OC=8
6 5
RK is tangent
to the circle
Find RK.

10.
11.
x=6
x = 13
12.
x=5
In problems 13-15, use the diagram.
13. Find the measure of arc AB. 30°
14. Find the circumference of
circle O. 30π
15. Find the length of arc AB. 5/2 π
16. Find DF.
DF = 13
18. Find x.
x = 10
20. Find the measure of arc AB
Arc AB = 35°
17. Given: Tangent Circle A, B, C,
AB=8, BC=13, AC=11
Find: The radii of the three
circles (This is a walk-around
problem)
A=3
B=5
C=8
19. Find y.
y=5
21. Find the measure of arc QUA.
QUA = 260°
22. Given: Circle O and P are externally tangent.
OA=8, PB=2
Find: The length of common external
tangent AB.
23. Find, to the nearest meter, the
length of fencing needed to
surround the racetrack.
100 + 12π
AB = 8
Complete #24 – 29 using the diagram at right.
24. If m arc AB=150 and m arc CD=110, then m 2=_______130°__________.
25. If m 4 =50, then m 1=________50°________.
26. If m arc AB=100 and m arc BC=120, then m 3=_______70°________.

27. If AB  AC and m arc AB=150, then m 5 =______30°_______.


28. If m 2 =75 and m arc DC=55, then m arc AB=______95°_______.

29. If DB is a diameter, then m BCD=_______90°_____.


Find the value of x in each of the following circles.
 30.

31.
x = ______40°_______
33.
x = ____20°________
34.
x = _______110°______
36.
x = ______12_______
32.
x = ______90°_______
35.
x = ____6________
x = _____8________
37.
x = _____6_______ or x = ____4________
38. Find the circumference of a circle in which an 80 cm chord is 9 cm from the center.
82π
39a. Find x.
39b. Find x.
6
13
41. Circle O is inscribed in PQR. PQ=8,
QR=11, and PR=17. Find PT.
(hint: walk around problem)
40. Find x.
(hint: walk around problem)
17
42. AC=14, AB=10, CB=18.
Find the length of the radius of the
largest circle.
x=7
43. Circle O with radius 8 and circle P with
radius 3. The length of the common
external tangent segment is 12.
Find the distance between the two circles.
11
44. Two circles with radii 9 cm and 6 cm
are 2cm apart. Find the length of the
common internal tangent.
8
13
45. Find PQ
30