Name: ________________________ Class: ___________________ Date: __________
ID: A
Quiz#1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Determine the quadrant in which an angle, θ, lies if θ =
a.
b.
c.
d.
____
b.
c.
d.
e.
13π
11π
,−
4
4
9π
5π
,−
4
8
7π
9π
,−
4
4
3π
5π
,−
2
12
11π
5π
,−
4
4
3. Find (if possible) the supplement of
a.
b.
c.
d.
e.
____
4th quadrant
2nd quadrant
1st quadrant
3rd quadrant
2. Determine two coterminal angles (one positive and one negative) for θ =
a.
____
5π
.
4
11π
26
12π
13
2π
13
5π
13
not possible
11π
.
13
4. Rewrite 675° in radian measure as a multiple of π.
a.
b.
c.
d.
e.
15π
4
15π
4
45π
2
15π
2
5π
1
3π
.
4
Name: ________________________
____
5. Rewrite −
a.
b.
c.
d.
e.
____
ID: A
7π
in degree measure.
18
−70°
−105°
−140°
−35°
−47°
6. Find the length of the arc, S, on a circle of radius 3 meters intercepted by a central angle of 210° .
Round to two decimal places.
a. S = 11.00 meters
b. S = 14.66 meters
c. S = 21.99 meters
d. S = 7.33 meters
e. S = 8.80 meters
____
7. Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an
arc of length 32 centimeters.
16
a. θ =
3
2
b. θ =
3
3
c. θ =
16
32
d. θ =
7
6
e. θ =
5
____
8. Find the area of the sector of the circle with radius 2 meters and central angle
a.
A=
b.
A=
c.
A=
d.
A=
e.
A=
11π 2
m
6
121π 2
m
3
11π 2
m
3
11π 2
m
4
22π 2
m
3
2
11π
.
6
ID: A
Quiz#1
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
length
8. ANS:
angle
D
E
C
B
A
A
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
C
PTS: 1
OBJ:
OBJ:
OBJ:
OBJ:
OBJ:
OBJ:
OBJ:
Determine in which quadrant an angle lies
Determine two coterminal angles (radians)
Find the complement of an angle (radians)
Convert degree measure to radian measure
Convert radian measure to degree measure
Find length of arc given radius and central angle
Find measure of central angle given radius and arc
OBJ: Find the area of a sector given the radius and central
1
Quiz#1 [Answer Strip]
A
_____
5.
D
_____
1.
A
_____
6.
E
_____
2.
A
_____
7.
C
_____
3.
C
_____
8.
B
_____
4.
ID: A