Unit 11 Review
Name:________________________________
1. Vocab: State the best term for the given figure in the diagram.
Give the names of 3 minor arcs
Give the names of 3 major arcs
Give the names of 2 semicircles
#2-3: Solve for x given that BC is a radius and B is a point of tangency.
2.
3.
#4-5: Solve for x given that M and K are points of tangency.
4.
5.
Find the measure of the indicated arc.
7.
8.
9.
10.
11.
12.
Solve for all variables.
13.
14.
15.
16.
17.
18.
Given that RT and PS are diameters of circle N, find the measure of each given arc if the measure of arc TP is 47
degrees (DRAW A PICTURE).
19.
20.
21.
23.
24.
Find the measure of arc MN
22.
Write the standard equation of each circle.
25.
26.
Graph the equation.
27.
28.
Determine whether the point lies inside, outside or on the circle:  x  3   y  8   100
2
29.  5, 1
30.  5, 2
2
31.  4, 3
Find the indicated measure.
32. The exact area and circumference of a circle with a diameter of 8.2 centimeters.
33. The exact diameter of a circle with a circumference of 58 feet.
34. The radius of a cirle with an area of 390 square meters.
35. The diameter of a circle with an area of 857 square centimeters.
In circle D, <EDF and <FDG are congruent. Find each indicated measure.
36.
37.
38.
Find each indicated measure.
39.
40.
41. The radius of circle V is 3 square meters. The measure of arc SRT is 285O . Find each indicated measure.
a) Circumference of circle V
b) Area of circle V
c) Length of arc ST
d) Area of shaded region
e) Area of unshaded region
42. The circumference of circle V is 3 square meters. The measure of arc ST is 62.5O . Find each indicated
measure.
a) Radius of circle V
b) Area of circle V
c) Length of arc ST
d) Length of arc SRT
e) Area of shaded region
43. The area of circle V is 22.09 square meters. The area of sector SVT is 4.418 square meters. Find each
indicated measure.
a) Radius of circle V
b) Circumference of circle V
c) Measure of arc ST
d) Length of arc ST
e) Perimeter of shaded region
Find the area of the shaded region.
44.
45.
Find the area of the shaded region.
46.
47.
48. Each of the following is cut from a 6 in x 12 in piece of posterboard. Which wastes the least.
a) Two 6-in diameter circles
b) Eight 3-inch diameter circles
c) Eighteen 2-inch diameter circles
49. You are standing 36 feet from a circular swimming pool. The distance from you to a point of tangency on the pool is
48 feet. What is the radius of the pool?
Perform the composite transformations for triangle with vertices F(2,3), G(3,5), and H(6,5).
50. Rotate about the origin 180 . Label F’G’H’.
Reflect about the y-axis. Label F”G”H”.
51. Translate 5, 2 . Label F’G’H’.
Rotate about the origin 90 . Label F”G”H”.
F’:
G’:
H’:
F’:
G’:
H’:
F”:
G”:
H”:
F”:
G”:
H”:
List the composition of transformations that have occurred.
52.
53.
Describe all rotations that map the regular figure onto itself.
54.
55.
56.