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Worksheets

9.4 and 9.5

Total questions: 39

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

What is this called?

a)

Diameter

b)

Secant

c)

Tangent Line

d)

Radius

2.

What is this called?

a)

Diameter

b)

Secant

c)

Central Angle

d)

Radius

3.

What is this called?

a)

Major Arc

b)

Minor Arc

c)

Circumference

d)

Perimeter

4.

What is the length L called?

a)

circumference

b)

tangent

c)

arc

d)

sector

5.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
6.
A chord is a radius
a)
Always
b)
Sometimes
c)
Never
7.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
8.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
9.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
10.

A minor arc is denoted with only 2 letters. Which of the following statements is also 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.

11.

A major arc is denoted with 3 letters. Which of the following statements is also 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.

12.

Name the circle.

a)

Circle R

b)

Circle T

c)

Circle S

d)

Circle L

13.

Identify a radius.

a)

RS

b)

ST

c)

WL

d)

RT

14.

If the diameter of a circle is 15 cm, find the circumference.

a)

30 cm

b)

30π cm

c)

15π cm

d)

15 cm

15.

Find the exact circumference.

a)

58 mi

b)

29π mi

c)

42π mi

d)

58π mi

16.

The diameter of circle L is 20 units and the diameter of circle M is 13 units and QR = 4. Find RM.

a)

2.5 units

b)

6.5 units

c)

13 units

d)

9 units

17.

Find the measure of the given arc.

a)


132o132^o

b)

53o53^o

c)

79o79^o

d)

200o200^o

18.

Find the measure of the given arc.

a)

84o84^o

b)

42o42^o

c)

318o318^o

d)


138o138^o

19.

On a regulation dartboard, the outermost circle is divided into twenty congruent sections. What is the measure of each arc in this circle?

a)

20o20^o

b)

18o18^o

c)

9o9^o

d)

40o40^o

20.

Find the degree measure of arc ACBACB  

a)

180

b)

240

c)

270

d)

300

21.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
22.
Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
23.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
24.
What is the arc length of minor arc AB?
a)
5.23
b)
103
c)
33.33
d)
50
25.

A string is placed on the outside of a clock going clockwise from 12 to 9. The clock has a radius of 6 inches. What is the length of the string? Round your answer to the nearest tenth of an inch.

26.

I understand how to find arc length?

a)

Yes

b)

Mostly

c)

Almost there

d)

No Clue

27.

Properties of Arcs and Angles: Segment EB is a diameter. What is the value of x?

a)

78

b)

166

c)

76

d)

152

28.

Properties of Arcs and Angles: Segment EB is a diameter. What is the value of x?

a)

78

b)

166

c)

76

d)

152

29.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures less than 180 degrees.

30.
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.
31.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

32.

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

33.

What is the area of the shaded segment?

a)

32π/3 - 2√3

b)

32π/3 - 16√3

c)

16π/3 - 16√3

d)

32π/3 + 16√3

34.

Try - it, find the area of the segment of the circle.

a)

192π - 12√3

b)

384π - 144√3

c)

192π - 144√3

d)

384π - 12√3

35.

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

36.

What is the area of the green shaded segment?

a)

16π - 64

b)

8π - 32

c)

8π - 64

d)

16π - 32

37.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
38.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

a)

(464/9)π mm2

b)

(112/9)π mm2

c)

(116/9)π mm2

d)

(28/9)π mm2

39.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure