WorksheetsConverting Polar and Rectangular Coordinates
Total questions: 20
Worksheet time: 30mins
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
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
5.
Find the rectangular coordinates of each polar point. (4, 3π/2)
a)
(4,4)
b)
(4,0)
c)
(0,4)
d)
(0,1)
6.
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)
7.
Convert from polar to rectangular:
(5, 135o)
a)
(-5√2/2, 5√2/2)
b)
(5√2/2, 5√2/2)
c)
(5√2/2, -5√2/2)
d)
(-5√2/2, -5√2/2)
8.
Simplify:
√32
a)
4√2
b)
2√8
c)
6
d)
8√2
9.
What is the radius to the following rectangular point:
(5, 2)
a)
5
b)
2
c)
√29
d)
√27
10.
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)
11.
Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.
a)
(-10√2, 10)
b)
(10√2, -10)
c)
(10, -10√2)
d)
(-10, 10√2)
12.
Convert the polar coordinates to rectangular coordinates.
a)
b)
c)
d)
13.
Convert the polar coordinates to rectangular form
a)
(1, 1)
b)
(1, -1)
c)
(-1, 0)
d)
(-1, -1)
14.
Find r
x=12
y=5
x=12
y=5
a)
12
b)
12.5
c)
13
d)
15
15.
Find the rectangular coordinates of the point:
(6, 150⁰)
(6, 150⁰)
a)
(-3√3, 3)
b)
(-3,3)
c)
(0,-1)
d)
(√3,0)
16.
Find the rectangular coordinates of the point:
(-2, 3π/4)
(-2, 3π/4)
a)
(√2, -√2)
b)
(2√2, 0)
c)
(-√2, -2)
d)
(3,4)
17.
Find polar coordinates for the point:
(√3 , 1)
(√3 , 1)
a)
(2, π/6)
b)
(-2, -π/6)
c)
(1,0)
d)
(4π,-2)
18.
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)
19.
Convert from rectangular to polar coordinates: (5√2, -5√2)
a)
(-10, π/4)
b)
(2√5, 7π/4)
c)
(10, 7π/4)
d)
(10√2, 7π/4)
20.
If there are 366 people at Mr. Lucero's wedding, what is the probability that at least 2 people have the same birthday?
a)
50 %
b)
100%
c)
99%
d)
No se
100 %
