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WorksheetsFinding Angles on the Unit Circle
Total questions: 20
Worksheet time: 20mins
Name
Class
Date
1.
What the coordinates of 180° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
2.
What are the coordinates of 210° on the unit circle?
a)
(−√3/2, −1/2)
b)
(√3/2, −1/2)
c)
(−√3/2, 1/2)
d)
(−1/2,−√3/2 )
3.
What the coordinates of 270° on the unit circle?
a)
0, 1
b)
1, 0
c)
-1, 0
d)
0, -1
4.
What are the coordinates of 60° on the unit circle?
a)
(0, 1)
b)
(1/2, √3/2)
c)
(√3/2, 1/2)
d)
(√2/2, 1/2)
5.
What is the exact coordinates of 3π/4 on the unit circle?
a)
(−√2∕2, √2∕2)
b)
(−√2∕2, −√2∕2)
c)
(−√3∕2, −√2∕2)
d)
(√2∕2, −√2∕2)
6.
The unit circle...
a)
Has center at (1,1)
b)
Has a circumference of 1
c)
Has a diameter of 1
d)
Has a radius of 1
7.
The hypotenuse of any right triangle from the center of the unit circle to an edge is always
a)
1
b)
sqt2/2
c)
sqt3/2
d)
1/2
8.
What is a complete circle in radians?
a)
π
b)
2π
c)
1/2 π
d)
1
9.
What is half a circle in radians?
a)
π/4
b)
π
c)
2π
d)
π/2
10.
4π/3 is equal to how many degrees?
a)
60°
b)
240°
c)
300°
d)
120°
11.
At θ = 30°, what is the equivalent angle measure in radians?
a)
π/2
b)
π/3
c)
π/4
d)
π/6
12.
π/4=?
a)
45°
b)
210°
c)
150°
d)
135°
13.
5π/6=?
a)
135°
b)
150°
c)
330°
d)
315°
14.
7π/6=?
a)
300°
b)
30°
c)
120°
d)
210°
15.
What radian measure corresponds to the point
a)
π/4
b)
3π/2
c)
5π/4
d)
7π/3
16.
What quadrant does 21π/4 lie in?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
17.
What quadrant is -2π/3 in?
a)
I
b)
II
c)
III
d)
IV
18.
What quadrant is -400° in?
a)
I
b)
II
c)
III
d)
IV
19.
What are the coordinates that go where the red line is?
a)
(√3/2,1/2)
b)
(1/2,√3/2)
c)
(√2/2,√2/2)
d)
(√2/2,1/2)
20.
What are the coordinates that go above the red line?
a)
(√3/2,1/2)
b)
(√2/2,1/2)
c)
(√2/2,√2/2)
d)
(1/2,√3/2)
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