Honors Geometry
Ch. 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. ___________
2. Find m FDE
2. ___________
3. Find m arc BF
3. ___________

4. Find m arc CB
4. ___________
5. Find m CDF
5. ___________
6. Find m A
6. ___________

7. Find m CGD
7. ___________


8.
9. Given: RC=18
OC=8
RK is tangent
to the circle
Find RK.

10.
12.
11.
16. Find DF.
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)
18. Find x.
19. Find y.
20. Find the measure of arc AB
21. Find the measure of arc QUA.
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.
Complete #24 – 29 using the diagram at right.
24. If m arc AB=150 and m arc CD=110, then m 2=_________________.
25. If m 4 =50, then m 1=________________.
26. If m arc AB=100 and m arc BC=120, then m 3=_______________.

27. If AB  AC and m arc AB=150, then m 5=_____________.


28. If m 2=75 and m arc DC=55, then m arc AB=_____________.

29. If DB is a diameter, then m BCD=____________.


Find the value of x in each of the following circles.
 30.

31.
32.
x = _____________
x = ____________
x = _____________
33.
34.
35.
x = _____________
x = ____________
x = _____________
36.
37.
x = _____________
x = ____________ or x = ____________
38. Find the circumference of a circle in which an 80 cm chord is 9 cm from the center.
39a. Find x.
39b. Find x.
40. Find x.
(hint: walk around problem)
41. Circle O is inscribed in PQR. PQ=8,
QR=11, and PR=17. Find PT.
(hint: walk around problem)
42. AC=14, AB=10, CB=18.
Find the length of the radius of the
largest circle.
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.
44. Two circles with radii 9 cm and 6 cm
are 2cm apart. Find the length of the
common internal tangent.
45. Find PQ
45. On page 579, do # 9-11