Polar Conics Calculator

Given a polar conic with:

eccentricity = , directrix = , θ = °

Calculate the polar equations

Vertical Directrix 1:

r  =	ed
	1 - e cos(θ)

r  =	ed
	1 - cos()

r  =	*
	1 - (1)

r  =	0
	1 - 0

r  =	0
	1

r = 0

Vertical Directrix 2:

r  =	ed
	1 + e cos(θ)

r  =	ed
	1 + cos()

r  =	*
	1 + (1)

r  =	0
	1 + 0

r  =	0
	1

r = 0

Horizontal Directrix 1:

r  =	ed
	1 - e sin(θ)

r  =	ed
	1 - sin()

r  =	*
	1 - (0)

r  =	0
	1 - 0

r  =	0
	1

r = 0

Horizontal Directrix 2:

r  =	ed
	1 + e sin(θ)

r  =	ed
	1 + sin()

r  =	*
	1 + (0)

r  =	0
	1 + 0

r  =	0
	1

r = 0

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What is the Answer?

How does the Polar Conics Calculator work?

Free Polar Conics Calculator - Given eccentricity (e), directrix (d), and angle θ, this determines the vertical and horizontal directrix polar equations.
This calculator has 3 inputs.

What 1 formula is used for the Polar Conics Calculator?

r = ed/(1 - e cos(θ))
r = ed/(1 + e cos(θ))
r = ed/(1 - e sin(θ))
r = ed/(1 + e sin(θ))

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Polar Conics Calculator?

anglethe figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. conicdirectrixline in a parabola not through the focuseccentricityDeviation of a conic from a circular shapepolar conicspolar equationany equation that describes a relation between r and θ

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