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WorksheetsUnit Circle Basics
Total questions: 20
Worksheet time: 7mins
Name
Class
Date
1.
How many degrees in a full circle?
a)
90°
b)
180°
c)
270°
d)
360°
2.
How many radians in a full circle?
a)
π/2
b)
π
c)
3π/2
d)
2π
3.
Standard position is where on the x-y plane?
a)
The positive x-axis
b)
The negative x-axis
c)
The positive y-axis
d)
The negative y-axis
4.
Angles are measured in which direction from standard position?
a)
Clockwise
b)
Counterclockwise
5.
The unit circle has a radius length of...
a)
0.5
b)
1
c)
π
d)
2π
6.
135° is found in which quadrant?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
7.
200° is found in which quadrant?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
8.
What is the area of the unit circle?
a)
1
b)
π
c)
2π
d)
π2
9.
What is the area of one quadrant of the unit circle?
a)
0.25
b)
0.5
c)
π
d)
π/4
10.
90° is equal to how many radians?
a)
π/4
b)
π/2
c)
π
d)
2π
11.
270° is equal to how many radians?
a)
π
b)
π/3
c)
3π/4
d)
3π/2
12.
135° is equal to how many radians?
a)
π
b)
π/3
c)
3π/4
d)
3π/2
13.
π/3 is equal to how many degrees?
a)
30°
b)
60°
c)
90°
d)
120°
14.
10π/9 is equal to how many degrees?
a)
100°
b)
140°
c)
190°
d)
200°
15.
Which of the following is equal to 45°?
a)
405°
b)
-300°
c)
415°
d)
-325°
16.
What is the arc length of one quadrant of the unit circle?
a)
0.25
b)
π
c)
π/3
d)
π/2
17.
What area is contained in a sector of the unit circle with an angle of π/6?
a)
π/12
b)
π/10
c)
π/6
d)
1/6
18.
What area is contained in a sector of the unit circle with an angle of 3π/4?
a)
π/4
b)
5π/8
c)
3π/8
d)
7π/8
19.
What angle is approximately equal to one radian?
a)
49.2°
b)
52.4°
c)
55.1°
d)
57.3°
20.
What angle is equal to π radians?
a)
45°
b)
90°
c)
135°
d)
180°
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