
Converting Cartesian Coordinates to Polar Coordinates

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

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of theta in polar coordinates?
0 to 2π radians, including both
0 to 2π radians, excluding both
0 to 2π radians, including 0 but excluding 2π
0 to 2π radians, excluding 0 but including 2π
Tags
CCSS.HSN.CN.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which direction do we rotate to find the angle theta in polar coordinates?
Clockwise from the positive y-axis
Counterclockwise from the negative y-axis
Counterclockwise from the positive x-axis
Clockwise from the negative x-axis
Tags
CCSS.HSN.CN.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for calculating the distance r in polar coordinates?
r = √(x^2 + y^2)
r = x^2 + y^2
r = √(x + y)
r = x + y
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the square root of 20?
5√2
2√5
√20
4√5
Tags
CCSS.HSF-BF.B.4D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial output range of the arctangent function?
0 to π
−π/2 to π/2
0 to 2π
−π to π
Tags
CCSS.HSF-BF.B.4D
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which quadrant is the angle theta located in for the given Cartesian coordinates?
Fourth quadrant
Third quadrant
Second quadrant
First quadrant
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the reference angle for theta if the arctangent gives −0.4636 radians?
π − 0.4636 radians
0.4636 radians
−0.4636 radians
π + 0.4636 radians
Tags
CCSS.HSF.TF.B.7
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