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WorksheetsPolar Coordinates Plotting
Total questions: 15
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
Find the polar coordinates of the rectangular point. (0,3)
a)
(3,π)
b)
(3,0)
c)
(3,π/2)
d)
(3,-3π/2)
2.
Convert the rectangular coordinates to polar coordinates
(6√3, 6)
(6√3, 6)
a)
(12, π/6)
b)
(6, 7π/6)
c)
(6, π/6)
d)
(12, 7π/6)
3.
How do you write an ordered pair in polar coordinates?
a)
(X, Y)
b)
(θ, r)
c)
(r,θ)
d)
(Y_Y)
4.
Convert the polar coordinates to rectangular form.
(6, 2π/3)
(6, 2π/3)
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
5.
What is the radius to the following rectangular point:
(5, 2)
a)
5
b)
2
c)
√29
d)
√27
6.
Find r
x=12
y=5
x=12
y=5
a)
12
b)
12.5
c)
13
d)
15
7.
Find polar coordinates for the point:
(√3 , 1)
(√3 , 1)
a)
(2, π/6)
b)
(-2, -π/6)
c)
(1,0)
d)
(4π,-2)
8.
Convert from rectangular to polar coordinates. (-4, 4)
a)
(4√2, π/4)
b)
(4√2, 3π/4)
c)
(4√2, -π/4)
d)
(-4√2, -7π/4)
9.
Match the point in polar coordinates with either A, B, C, or D on the graph.
(2, -11π/6)
(2, -11π/6)
a)
A
b)
B
c)
C
d)
D
10.
Match the point in polar coordinates with either A, B, C, or D on the graph.
(-2, π/6)
(-2, π/6)
a)
A
b)
B
c)
C
d)
D
11.
Match the point in polar coordinates with either A, B, C, or D on the graph.
(2, 5π/6)
(2, 5π/6)
a)
A
b)
B
c)
C
d)
D
12.
Plot each point given in polar coordinates and find the other polar coordinates (r,θ) if the point which r >0, -2π≤θ<0.
(-2,3π)
(-2,3π)
a)
(2, -2π)
b)
(-2, π)
c)
(2, 2π)
d)
(-2, -2π)
13.
Plot each point given in polar coordinates and find the other polar coordinates (r,θ) if the point which r<0, 0≤θ<2π
(1, π/2)
(1, π/2)
a)
(-1, 3π/2)
b)
(1, -3π/2)
c)
(1, 5π/2)
d)
(-1, -5π/2)
14.
Find the rectangular coordinates of the point:
(-2,0)
(-2,0)
a)
(-2,0)
b)
(2,0)
c)
(π/2, 2)
d)
(√2, -2)
15.
In the coordinate points (2,7⁰) the 2 represents the...
a)
theta
b)
radius
c)
x
d)
angle
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