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WorksheetsPolar coordinate system
Total questions: 12
Worksheet time: 21mins
Name
Class
Date
1.
Which point represents (3, 3π/4)?
a)
F
b)
E
c)
B
d)
A
2.
Convert the rectangular coordinates to polar form
a)
(√2 , 315)
b)
(2 ,135)
c)
(4 , 45)
d)
(4 , 225)
3.
An object is located in the point (6,120 ° ) Convert the polar coordinates to rectangular form
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
4.
Find the polar coordinates of the rectangular point. (-3,0)
a)
(3,180 ° )
b)
(3,0)
c)
(3,90 ° )
d)
(3,-270 ° )
5.
Convert the rectangular coordinates to polar form
a)
(√8 , 210 ° )
b)
(4 , 135 ° )
c)
(√8 , 30) °
d)
(8 , 210 ° )
6.
In Polar coordinates what is x equal to?
a)
rsinΘ
b)
rcosΘ
c)
x²+y²
d)
tan⁻¹(y/x)
7.
Convert the polar coordinates to rectangular form
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
8.
Find the rectangular coordinates of each polar point. (4, 3π/2)
a)
(4,4)
b)
(4,0)
c)
(0,-4)
d)
(0,1)
9.
Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.
a)
(-3√2, -3√2)
b)
(3√2, 3√2)
c)
(6.0, 0.4)
d)
(-6.0, -0.4)
10.
How do you write an ordered pair in polar form?
a)
(x,y)
b)
(θ, r)
c)
(r,θ)
d)
(r,y)
11.
When converting between rectangular and polar coordinates:
y = ?
a)
rcosθ
b)
rsinθ
c)
x² + y²
d)
y/x, x ≠ 0
12.
10.1-10.2 Converting between rectangular and polar coordinates:
x = ?
x = ?
a)
rcosθ
b)
rsinθ
c)
x² + y²
d)
y/x, x ≠ 0
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