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Chapter 10 Circles Test Review (full chapter)

Total questions: 30

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

What do A and B added to together equal?What\ do\ \angle A\ and\ \angle B\ added\ to\ together\ equal?  

a)

They add to 360

b)

They add to 180

c)

Nothing - there is no relationship

d)

They are congruent

2.

Find m∠RPQ.

a)

55°

b)

70°

c)

110°

d)

145°

3.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
4.
Find the measure of minor arc AV.
a)
55°
b)
115°
c)
85°
d)
95°
5.
Find the measure of minor arc  AC.
a)
76°
b)
135.5°
c)
70.5°
d)
65°
6.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees. 
d)
It measures less than 180 degrees.
7.
Which is true of a major arc?
a)
Forms half a circle.
b)
Forms a whole circle.
c)
Measures greater than 180 degrees.
d)
Measures less than 180 degrees.
8.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
9.

Find the value of X

a)

20

b)

6

c)

10

d)

4

10.

What is x?

a)

15

b)

23

c)

2

d)

92

11.

Solve for x.

a)

90

b)

12

c)

47

d)

45

12.

Solve for x.

a)

14

b)

10

c)

11

d)

2

13.
Find the m∠ABD.
a)
14
b)
51
c)
37
d)
65
14.
Find the measure of arc KM.
a)
29
b)
33
c)
41.5
d)
50
15.
Solve for x.
a)
x = 35.67
b)
x = -1
c)
x = 14
d)
x = -4.33
16.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
17.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
18.
Find the value of x.
a)
15
b)
13
c)
3
d)
6
19.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
20.
Is line AB tangent to the circle?
a)
YES
b)
NO
NO
c)
Can't Tell
Can't Tell
21.
Find x.  Assume that segments that appear to be   tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
22.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)2 + y2 = 9

b)

x2 + (y -7)2 = 9

c)

(x - 7)2 + y2 = 3

d)

x2 + (y -7)2 = 3

23.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

24.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)2 + (y + 5)2 = 36

b)

(x - 5)2 + (y + 2)2 = 6

c)

(x + 5)2 + (y - 2)2 = 36

d)

(x + 2)2 + (y - 5)2 = 6

25.
In the equation (x-3)2+(y+4)2=121, the center of the circle is at...
a)
(3, -4)
b)
(-3, 4)
c)
(4, 3)
d)
(-4, -3)
26.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
27.
Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
28.

Find the area of the shaded sector of the circle.

a)

25.66 m2

b)

137.44 m2

c)

39.10 m2

d)

42.41 m2

29.

Use, C=2πrUse,\ C=2\pi r   C=17πC=17\pi   Center: (9,12)Center:\ \left(9,12\right)

a)

(x+9)2+(y12)2=17\left(x+9\right)^2+\left(y-12\right)^2=17  

b)

(x9)2+(y12)2=72.25\left(x-9\right)^2+\left(y-12\right)^2=72.25  

c)

(x9)2+(y12)2=8.5\left(x-9\right)^2+\left(y-12\right)^2=8.5  

30.

Find VW

a)

24

b)

12

c)

13

d)

5