Worksheets8.1 Polar coordinates
Total questions: 13
Worksheet time: 2hrs 37mins
Name
Class
Date
1.
Which point represents (3, 3π/4)?
a)
F
b)
E
c)
B
d)
A
2.
Which point represents (-4, 4π/3)
a)
F
b)
E
c)
B
d)
A
3.
Which point represents the polar coordinate
(-4, -2π/3)?
(-4, -2π/3)?
a)
B
b)
F
c)
D
d)
A
4.
Convert the rectangular coordinates to polar form
a)
(√2 , 7π/4)
b)
(2 , 3π/4)
c)
(4 , π/4)
d)
(4 , 5π/4)
5.
Convert the polar coordinates to rectangular form
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
6.
Find the polar coordinates of the rectangular point. (-3,0)
a)
(3,π)
b)
(3,0)
c)
(3,π/2)
d)
(3,-3π/2)
7.
Convert the rectangular coordinates to polar form
a)
(√8 , 7π/6)
b)
(4 , 3π/4)
c)
(√8 , π/6)
d)
(8 , 7π/6)
8.
Give some other polar coordinate representations of the point, one with r > 0 and one with r < 0. Select all that apply.
a)
b)
c)
d)
e)
9.
Give some other polar coordinate representations of the point, one with r > 0 and one with r < 0. Select all that apply.
a)
b)
c)
d)
e)
10.
Covert the rectangular equation to polar form
a)
r² = 81
b)
r = 3
c)
r = 4.5
d)
r sin θ = 9
11.
Which point represents (3, 3π/4)
a)
F
b)
E
c)
B
d)
A
12.
Which equation represents the polar graph?
a)
r = sin θ
b)
r = sin 4θ
c)
r = 4 sin θ
d)
r = 4 cos θ
13.
In Polar coordinates what is x equal to?
a)
rsinΘ
b)
rcosΘ
c)
x²+y²
d)
tan⁻¹(y/x)
100 %
