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Polar Coordinate Plotter
AP Precalculus · Unit 3 Polar Functions
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Learning Objectives
Plot points and curves in polar coordinates (r, θ)
Recognize common polar curves: rose, cardioid, limaçon, spiral
Convert between polar and Cartesian coordinates
Common Polar Curves
Circle:
r = a
Cardioid:
r = a(1 + cosθ)
Rose:
r = a·cos(nθ)
Spiral:
r = aθ
Limaçon:
r = a + b·cosθ
Tags
polar coordinates
rose curve
cardioid
spiral
AP Precalculus
Curve
Circle
Equation
r = 2
Curve Type
Circle
Cardioid
Rose (3)
Rose (4)
Spiral
Limaçon
Lemniscate
Butterfly
Parameter a
2.0
Parameter n (petals)
3
Animation Speed
1.0
Display
Grid Circles
Angle Rays
Trace Path
Equation
r = 2
Quick Quiz
How many petals does r = cos(5θ) have?
5 petals
10 petals
4 petals
8 petals