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Quarter 3 Final Exams

Total questions: 70

Worksheet time: 3hrs 25mins

Name
Class
Date
1.

A ________ divides the circle into two congruent parts.

a)

Chord

b)

Diameter

c)

Secant

d)

Tangent

2.

Which of the following is the approximate value of pi?

a)

3.1234

b)

3.4321

c)

3.1416

d)

3.15

3.

A plane figure consists of points equidistant from a fixed point (called center).

a)

Tangent Line

b)

Chord

c)

Circle

d)

Quadrilateral

4.

A segment where its two endpoints lies on the circle.

a)

Radius

b)

Diameter

c)

Chord

d)

Arc

5.

A line that intersects a circle at exactly two points.

a)

Chord

b)

Secant

c)

Tangent Line

d)

Central Angle

6.

A line that intersects a circle at exactly one points.

a)

Chord

b)

Secant

c)

Tangent Line

d)

Central Angle

7.

The point where the tangent line touches the circle.

a)

Point of Tangency

b)

Secant

c)

Tangent Line

d)

Central Angle

8.

An arc measuring one-half of the circumferences of the circle.

a)

Major Arc

b)

Minor Arc

c)

Secant

d)

Semicircle

9.

An angle formed by two rays whose vertex is the center of the circle.

a)

Minor Arc

b)

Major Arc

c)

Inscribed Angle

d)

Central Angle

10.

It is the measure of a semicircle.

a)

360°360\degree  

b)

180°180\degree  

c)

90°90\degree  

d)

45°45\degree  

11.

An angle whose vertex is on the circle.

a)

Inscribed angle

b)

Central angle

c)

Vertex angle

d)

Right angle

12.

If an inscribed angle measures 32°32\degree  , what is the measure of its intercepted arc?

a)

16°16\degree  

b)

32°32\degree  

c)

64°64\degree  

d)

328°328\degree  

13.

Which of the following statements is true?

a)

The measure of an inscribed angle is twice the measure of its intercepted arc.

b)

The measure of the central angle is one half the measure of its intercepted arc.

c)

The central and inscribed angle of a circle always has the same measure.

d)

The measure of a central angle is equal to the measure of its intercepted arc.

14.

What is the center?

a)

A

b)

E

c)

J

d)

N

15.

Which of the following are the chords?

a)

A LE‾ ; JE‾ ; NE‾\overline{LE}\ ;\ \overline{JE}\ ;\ \overline{NE}  

b)

AJ‾ ; AN‾ ; LJ‾\overline{AJ}\ ;\ \overline{AN}\ ;\ \overline{LJ}  

c)

NE‾ ; AE‾ ; LS‾\overline{NE}\ ;\ \overline{AE}\ ;\ \overline{LS}  

d)

LE‾ ; JE‾ ; JL‾\overline{LE}\ ;\ \overline{JE}\ ;\ \overline{JL}  

16.

Which are radii?

a)

A AL‾ ; AE‾ ; AS‾\overline{AL}\ ;\ \overline{AE}\ ;\ \overline{AS}  

b)

AJ‾ ; AN‾ ; AE‾\overline{AJ}\ ;\ \overline{AN}\ ;\ \overline{AE}  

c)

EL‾ ; AE‾ ; EN‾\overline{EL}\ ;\ \overline{AE}\ ;\ \overline{EN}  

d)

LA‾ ; AS‾ ; AL‾\overline{LA}\ ;\ \overline{AS}\ ;\ \overline{AL}  

17.

Which is the tangent line?

a)

Line SL

b)

Line NE

c)

Line JE

d)

Line AE

18.

Which is the secant line?

a)

Line SL

b)

Line NE

c)

Line JE

d)

Line AE

19.

Which is a central angle?

a)

∠JEN\angle JEN  

b)

∠LEA\angle LEA  

c)

∠JAN\angle JAN  

d)

∠JEL\angle JEL  

20.

Which is a semicircle?

a)

Arc LJN

b)

Arc JLE

c)

Arc LEN

d)

Arc NJE

21.

What is the intercepted arc of ∠NAE\angle NAE ?

a)

Arc JN

b)

Arc JL

c)

NE‾\overline{NE}  

d)

Arc NE

22.

Which is an inscribed angle?

a)

∠JAN\angle JAN  

b)

∠JEN\angle JEN  

c)

∠LAE\angle LAE  

d)

∠ANJ\angle ANJ  

23.

A region bounded by two radii of the circle and their intercepted arc is a ...

a)

arc of a circle

b)

sector of a circle

c)

arc length of a circle

d)

segment of a circle

24.

Find the area of sector.

a)

43.96 cm243.96\ cm^2  

b)

461.58 cm2461.58\ cm^2  

c)

147 cm2147\ cm^2  

d)

230.79π cm2230.79\pi\ cm^2  

25.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

26.
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.
27.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
28.
What is the measure of arc JK?
a)
55°
b)
60°
c)
120°
d)
135°
29.

Find the measure of arc BE.

a)

122°

b)

61°

c)

119°

d)

128°

30.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

31.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

32.

Find the measure of the indicated angle.

a)

42

b)

51

c)

36

d)

45

33.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

34.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

35.

Solve for x. Each figure is a parallelogram.

a)

A

b)

B

c)

C

d)

D

36.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

37.
a)
A
b)
B
c)
C
d)
D
38.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
39.

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.


The coordinates for point P are:

a)

(0, 1)

b)

(0, -1)

c)

(1,2)

d)

(2,1)

40.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

41.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
42.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
43.
Find m∠U.
a)
95°
b)
85°
c)
75°
d)
90°
44.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
45.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
46.
Find x.
a)
85
b)
105
c)
95
d)
75
47.
What is the area of this circle?
a)
1385.44
b)
2142.12
c)
5541.77
d)
1289.12
48.
What is the area of this circle?
a)
6082.12
b)
1520.53
c)
1893.14
d)
1292.92
49.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm2

b)

67.0cm2

c)

16.8cm2

d)

134.0cm2

50.
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.
51.
What is the arc length of minor arc AB?
a)
5.23
b)
103
c)
33.33
d)
50
52.
A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.
a)
1 sq. ft
b)
13 sq. ft
c)
3 sq. ft
d)
26 sq. ft
53.
What is the area of the shaded region? Round to the nearest hundredth.
a)
1.26
b)
452.39
c)
113.10
d)
40715.04
54.
What is the area of the shaded sector?
a)
69.78 ft2
b)
2791.11 ft2
c)
558.22 ft2
d)
697.78 ft2
55.

Find the area of the sector, rounding your answer to 1d.p.

a)

176.7cm2

b)

23.6cm2

c)

156.7cm2

d)

88.4cm2

56.

What is the area of the shaded segment?

a)

185.0619

b)

88.9359

c)

39.3078

d)

5.7975

57.

What is the area of the blue segment?

a)

603.2 u2

b)

249.4 u2

c)

353.8 u2

d)

192.0 u2

58.

What is the area of the red shaded segment?

a)

25 in2

b)

28.5 in2

c)

12.5 in2

d)

383.4 in2

59.
Determine the measure of Arc BA.
a)
A
b)
B
c)
C
d)
D
60.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
61.
Find the measure of <E.
a)
7
b)
8
c)
44
62.
a)

m∠K=100 & m∠M=100

b)

m∠K=50 & m∠M=50

c)

m∠K=100 & m∠M=50

d)

m∠K=50 & m∠M=100

63.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

64.

Find the measure of <A

a)

57

b)

54

c)

69

d)

126

65.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
66.

1. measure of angle JNM

a)

339

b)

159

c)

201

d)

21

67.

Find the area of the shaded space.

a)

113.10 units squared

b)

150.80 units squared

c)

157.82 units squared

d)

10.92 units squared

68.

Find the length of each arc.

r = 10, θ = 225°

a)

35.29

b)

25.39

c)

39.25

d)

25.9

69.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
70.

Find the area of the blue shaded sector.

a)

37.70 cm2

b)

6.28 cm2

c)

28.27 cm2

d)

9.42 cm2