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Review Chapter 10

Total questions: 82

Worksheet time: 3hrs 58mins

Name
Class
Date
1.

Find the value of X

(a)  

2.

Find the value of x

(a)  

3.

Find the value of x and each arc measure.

a)

x=17, m DE=167°, m EF= 14°, m DFG= 346°

b)

x=17, m DE=167°, m EF= 43°, m DFG= 327°

c)

x=16, m DE=157°, m EF= 23°, m DFG= 347°

d)

x=16, m DE=167°, m EF= 13°, m DFG= 347°

4.

Find the value of x and each arc measure.

a)

x=21, m GK=170°, m HJ= 98°, m HGJ= 259°, m GKJ= 201°

b)

x=21, m GK=167°, m HJ= 98°, m HGJ= 262°, m GKJ= 201°

c)

x=22, m GK=167°, m HJ= 98°, m HGJ= 262°, m GKJ= 201°

d)

x=22, m GK=167°, m HJ= 97°, m HGJ= 263°, m GKJ= 201°

5.

Find the value of x.

(a)  

6.

Solve for x.

(a)  

7.

Find the value of x.

(a)  

8.

Find the value of x.

(a)  

9.

What is the length of line segment AB?

(a)  

10.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

(a)  

11.



(a)  

12.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
13.

Find the arc length indicated by the bolded arc. Round to the nearest tenth.

(a)  

14.

Find the arc length indicated by the bolded arc. Round to the nearest tenth.

(a)  

15.

Find the length of the arc. Round to the nearest tenth.

(a)  

16.
Find the arc length.  Leave your answer in terms of π.
17.

Find the m AE

(a)  

18.

Find the m BHC

(a)  

19.

Find the m ACE

(a)  

20.

Find the m FD

(a)  

21.

Find the measure of <G

(a)  

22.

Find the measure of <B

(a)  

23.

Find the measure of <E.

(a)  

24.

Find the measure of <F

(a)  

25.
a)
A
b)
B
c)
C
d)
D
26.

Find the measure of X.

(a)  

27.

Find the red minor arc and its measure. Then find the blue major arc and its measure.

a)

AB, 135; ADB, 225

b)

ADB, 225; AB, 135

28.

Choose all of the correct answers.

a)

BAC is a minor arc and its measure is 290 degrees

b)

ABC is a semicircle and its measure is 180 degrees

c)

EBD is a major arc and its measure is 315 degrees

d)

DC is a minor arc and its measure is 70 degrees

29.

What is the measure of MPR?

(a)  

30.

Which statement is true?

a)

FE is a minor arc

b)

ADE is a major arc

c)

ABD is a semicircle

d)

BE is a minor arc

31.

Determine which statement is false.

a)

FDE is a semicircle

b)

AE is a major arc

c)

DFB is a major arc

d)

FA is a minor arc

32.

Solve for x.

(a)  

33.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
34.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
35.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
36.

Solve for m∠EBC.

(a)  

37.

Find the circumference of the circumscribed Circle. Leave your answer in terms of pi.

38.

Find the circumference of the circle side AB of the square is 15 cm. Leave your answer in terms of pi.

39.



(a)  

40.

Find the measure of Arc MN

(a)  

41.

HEXAGO is a regular hexagon inscribed in a circle. What is the measure of arc OH?

a)

60

b)

90

c)

120

d)

360

42.

PENTA is a regular pentagon inscribed in a circle. What is the measure of arc PE?

(a)  

43.


X=\angle X=  



(a)  

44.

V=\angle V=  

(a)  

45.

The measure of arc XY is

(a)  

46.

Solve for y in this circle.

(a)  

47.
Choose the equation that represents the circle with center (5, 9) and goes through (2, 9)
a)
(x+5)2+(y+9)2=3
b)
(x-5)2+(y-9)2=3
c)
(x+5)2+(y+9)2=9
d)
(x-5)2+(y-9)2=9
48.
Center: (-4, -3);
point (2, 2)
a)
(x+4)2+(y+3)2=61
b)
(x+4)2+(y+3)2=√61
c)
(x-2)2+(y-2)2=61
d)
(x-2)2+(y-2)2=√61
49.

Write the equation for a circle given:

center: (7, -2) point: (-1, -6)

50.

Solve for x

(a)  

51.

What is the measure of "?"

a)

210

b)

75

c)

150

d)

285

52.

What is the measure of "?"

(a)  

53.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.

Determine the value of x using the information in the diagram.

(a)  

56.

Determine the value of x using the information in the diagram.

a)

136º

b)

70º

c)

68º

d)

66º

57.

Determine the value of x using the information in the diagram.

a)

60º

b)

70º

c)

80º

d)

100º

58.

What is the value of DC? (to the nearest hundredth) 

(a)  

59.
Find the radius r
a)
2
b)
3
c)
4
d)
5
60.
a)
12.1
b)
9.9
c)
16
d)
18.8
61.

Solve for x.

(a)  

62.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
63.

Determine the measure of ∠NOP

(a)  

64.

Which graph corresponds to

(x+2)2+ (y-3)2=36

a)

A

b)

B

c)

C

d)

D

65.

Which equation matches the circle on the graph?

a)

(x+1)2+(y+3)2=4

b)

(x-3)2+(y-1)2=4

c)

(x+3)2+(y+1)2=4

d)

(x+5)2+(y+1)2=3

66.

Which equation matches the circle on the graph?

a)

(x+2)2+(y+5)2=9

b)

(x+10)2+(y+5)2=9

c)

(x+5)2+(y+10)2=81

d)

(x+5)2+(y+10)2=9

67.

Write the equation for the circle.

68.

Find the value of x.

(a)  

69.

Find the points of intersection of the circle with equation

(x - 2) 2 + (y - 6) 2 = 40

and the line with equation y = 3x

(a)  

70.

What is the value of x if both segments are tangent to the circle?

a)

A

b)

B

c)

C

d)

D

71.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
72.
Find the length of BC.
a)
2
b)
3
c)
9
d)
14
73.

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)2 + (y + 4)2 = 49

b)

(x + 4)2 + (y - 6)2 = 49

c)

(x - 6)2 + (y + 4)2 = 55

d)

x2 + y2 = 55

74.

What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?

a)

4

b)

2

c)

8

d)

23

75.

Determine the equation of the circle in standard form:

x² + y² + 4x + 6y - 36 = 0

76.
a)
9
b)
10
c)
15
d)
14
77.



(a)  

78.
a)
9(9+x)=
8(8+19)
b)
x(x+9)=
19(19+8)
79.
Solve for x.
a)
5
b)
8.66
c)
10
d)
20
80.
a)
A
b)
B
c)
C
d)
D
81.

What is the perimeter of the circumscribed quadrilateral ABCD?

a)

55

b)

53cm

c)

52cm

d)

54cm

82.

What is the perimeter of the circumscribed quadrilateral

(a)