
Polar Coordinates Concepts and Applications

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary difference between polar and Cartesian coordinates?
Polar coordinates use angles and distances from a point.
Polar coordinates use horizontal and vertical distances.
Polar coordinates are only used in three dimensions.
Polar coordinates are based on complex numbers.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In polar coordinates, what does a negative angle indicate?
The angle is measured from the z-axis.
The angle is measured from the y-axis.
The angle is measured clockwise.
The angle is measured counterclockwise.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you convert a polar coordinate (r, θ) to a rectangular coordinate (x, y)?
x = r cos θ, y = r sin θ
x = r sin θ, y = r cos θ
x = r tan θ, y = r cot θ
x = r sec θ, y = r csc θ
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula to find the radius (r) when converting from rectangular to polar coordinates?
r = √(x^2 + y^2)
r = x/y
r = x^2 + y^2
r = x + y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the graph of a polar equation with a sine function?
It is symmetric about the y-axis.
It is symmetric about the line y = x.
It is symmetric about the x-axis.
It is symmetric about the origin.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many petals does a rose curve have if the coefficient of θ is an odd number?
One more than the coefficient
Half the coefficient
Same as the coefficient
Twice the coefficient
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the average rate of change formula in polar coordinates?
Δy/Δx
Δθ/Δr
Δr/Δθ
Δx/Δy
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