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QZ-GEOM CIRCLES, ARCS, AND CHORDS

Total questions: 30

Worksheet time: 3hrs 34mins

Name
Class
Date
1.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
2.
What is the radius?
a)
18
b)
72
c)
38
d)
14
3.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
4.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
5.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
6.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
7.
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
8.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
9.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
10.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
11.

Give an example of a chord

a)

line HI

b)

line KL

c)

line GH

d)

line GJ

12.

Give an example of a major arc

a)

arc JH

b)

arc HI

c)

arc JLH

d)

arc JL

13.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

14.
Find x
a)
10
b)
5
c)
18
d)
9
15.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
16.

Find JI.

a)

30

b)

12

c)

7

d)

41

17.

Find PK.

a)

7

b)

22

c)

44

d)

11

18.
Find the value of x.
a)
15
b)
13
c)
3
d)
6
19.
a)
278⁰
b)
297⁰
c)
90⁰
d)
105⁰
20.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
21.
Find the value of x.
a)
31,3
b)
8
c)
16.3
d)
-8
22.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

23.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
24.
In  a circle, if a radius or diameter is perpendicular to a chord, then it____ the chord and its arc.
a)
equals
b)
bisects
c)
arcs
d)
circles
25.
A line segment that passes through the center of a circle, connecting two points on a circle is called ________________.
a)
diameter
b)
radius
c)
circumference
d)
area
26.
In a circle (or congruent circles), chords that are the same distance from the center:
a)
are similar
b)
have the same name
c)
are congruent to each other
d)
are walking dead
27.
In a circle, if a diameter is is perpendicular to a chord, then:
a)
it bisects the chord
b)
it bisects the corresponding arc
c)
it bisects BOTH the chord and its arc
d)
none of these answers are correct
28.
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.
a)
40π feet
b)
35π feet
c)
11π feet
d)
22π feet
29.

Find the value of x.

a)

9.8

b)

6.3

c)

12.6

d)

4.9

30.
Solve for x.
a)
3.6
b)
9.2
c)
11.5
d)
14.3