Deck 65: Polar Coordinates

Question 1

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (7.61,0.07)
B)Rectangular coordinates: (7.61,-7.61)
C)Rectangular coordinates: (-2.47,-7.61)
D)Rectangular coordinates: (-2.47,7.61)
E)Rectangular coordinates: (-2.47,0.07)

Answer 1

Rectangular coordinates: (-2.47,-7.61)

Question 2

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Answer 2

Polar coordinates:

Question 3

A point (a,b)= (r,θ)shown in below graph in polar coordinates is given.Convert the point to rectangular coordinates.​ ​ ​

A)Rectangular coordinates: (5,0)
B)Rectangular coordinates: (5,5)
C)Rectangular coordinates: (-5,5)
D)Rectangular coordinates: (-5,0)
E)Rectangular coordinates: (0,5)

Answer 3

Rectangular coordinates: (-5,0)

Question 4

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (3.5,1.62)
B)Rectangular coordinates: (4.50,0.83)
C)Rectangular coordinates: (-0.17,3.50)
D)Rectangular coordinates: (0.83,4.50)
E)Rectangular coordinates: (3.50,-0.17)

Question 5

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (2.27,-7.89)
B)Rectangular coordinates: (-7.89,2.27)
C)Rectangular coordinates: (1.27,-8.89)
D)Rectangular coordinates: (-8.89,1.27)
E)Rectangular coordinates: (8.98,4.50)

Question 6

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 7

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (-3.97,5.09)
B)Rectangular coordinates: (-2.97,5.09)
C)Rectangular coordinates: (-3.97,4.09)
D)Rectangular coordinates: (-2.97,4.09)
E)Rectangular coordinates: (4.09,-3.97)

Question 8

A point in polar coordinates is given.Convert the point to rectangular coordinates.Round your answers to one decimal places.​ ​

A)Rectangular coordinates: (1.9,1.0)
B)Rectangular coordinates: (-1.0,-1.9)
C)Rectangular coordinates: (2.1,1.1)
D)Rectangular coordinates: (-1.9,-1.0)
E)Rectangular coordinates: (1.0,1.9)

Question 9

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (1.83,-0.81)
B)Rectangular coordinates: (1.83,1.83)
C)Rectangular coordinates: (-0.81,0.81)
D)Rectangular coordinates: (1.83,0.15)
E)Rectangular coordinates: (1.83,0.81)

Question 10

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)​​Polar coordinates: ​
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 11

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 12

A point in polar coordinates is given.Convert the point to rectangular coordinates.Round your answers to one decimal places.​ ​

A)Rectangular coordinates: (3.6,6.0)
B)Rectangular coordinates: (5.5,2.4)
C)Rectangular coordinates: (-5.5,-2.4)
D)Rectangular coordinates: (-2.4,-5.5)
E)Rectangular coordinates: (2.4,5.5)

Question 13

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (4.89,0.35)
B)Rectangular coordinates: (-4.89,0.35)
C)Rectangular coordinates: (-0.35,4.89)
D)Rectangular coordinates: (0.35,4.89)
E)Rectangular coordinates: (5,1.5)

Question 14

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (-5.03,2.89)
B)Rectangular coordinates: (5.80,2.89)
C)Rectangular coordinates: (2.89,-5.03)
D)Rectangular coordinates: (-4.03,3.89)
E)Rectangular coordinates: (3.89,-4.03)

Question 15

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ ​

A)Rectangular coordinates: (-7.13,-1.02)
B)Rectangular coordinates: (-1.02,-7.13)
C)Rectangular coordinates: (-6.13,-1.02)
D)Rectangular coordinates: (-7.13,-0.02)
E)Rectangular coordinates: (-6.13,-0.02)

Question 16

A point (a,b)shown in below graph in polar coordinates is given.Convert the point to rectangular coordinates.​ ​ ​

A)Rectangular coordinates: (6,6)
B)Rectangular coordinates: (6,0)
C)Rectangular coordinates: (0,6)
D)Rectangular coordinates: (-6,0)
E)Rectangular coordinates: (0,-6)

Question 17

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 18

A point (a,b)shown in below graph in polar coordinates is given.Convert the point to rectangular coordinates.​ ​ ​

A)Rectangular coordinates: (0,3)
B)Rectangular coordinates: (-3,0)
C)Rectangular coordinates: (3,0)
D)Rectangular coordinates: (0,-3)
E)Rectangular coordinates: (3,3)

Question 19

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 20

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 21

Use a graphing utility to find one set of polar coordinates for the point given in rectangular coordinates,r > 0.Round your answers to three decimal places.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 22

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 23

Convert the rectangular equation to polar form.Assume a > 0,r > 1.​ ​

A)
B)
C)
D)
E)

Question 24

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 25

Convert the rectangular equation to polar form.Assume a > 0,r > 0.​ ​

A)
B)
C)
D)
E)

Question 26

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 27

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 28

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 29

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 30

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 31

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 32

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 33

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 34

Convert the rectangular equation to polar form.Assume a > 0,r > 1.​ ​

A)
B)
C)
D)
E)

Question 35

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 36

A point in rectangular coordinates is given.Convert the point to polar coordinates.Round your answers to two decimal places,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 37

A point in rectangular coordinates is given.Convert the point to polar coordinates,r > 0.​ ​

A)Polar coordinates:
B)Polar coordinates:
C)Polar coordinates:
D)Polar coordinates:
E)Polar coordinates:

Question 38

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 39

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 40

Convert the rectangular equation to polar form.Assume r > 1.​ ​

A)
B)
C)
D)
E)

Question 41

Describe the graph of the polar equation and find the corresponding rectangular equation.Select the correct graph.​ ​

A)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
B)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
C)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
D)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
​
E)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​

Question 42

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 43

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 44

Describe the graph of the polar equation and find the corresponding rectangular equation.Select the correct graph.​ ​

A)The graph of the polar equation consists of all points that are two units from the pole.
B)The graph of the polar equation consists of all points that are two units from the pole.
C)The graph of the polar equation consists of all points that are two units from the pole.
D)The graph of the polar equation consists of all points that are two units from the pole.
E)The graph of the polar equation consists of all points that are two units from the pole.

Question 45

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 46

Describe the graph of the polar equation and find the corresponding rectangular equation.Select the correct graph.​ ​

A)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
B)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
C)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
D)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​
E)The graph of the polar equation is not evident by simple inspection.Convert to rectangular form first.​ ​

Question 47

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 48

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 49

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)

Question 50

Convert the polar equation to rectangular form.​ ​

A)
B)
C)
D)
E)