11 Other formulas that you can solve using the same Inputs

Circumference of an ellipse
Circumference of an ellipse=((pi*Major axis*Minor axis+(Major axis-Minor axis)^2))/(Major axis/2+Minor axis/2) GO
Focal parameter of an ellipse
Focal parameter of an ellipse=Minor axis^2/Major axis GO
Eccentricity of an ellipse (a>b)
Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2)) GO
Exradius of an ellipse
Radius of the Circumscribed circle=Major axis/2 GO
Flattening of an ellipse
Flattening=(Major axis-Minor axis)/Minor axis GO
Latus Rectum of an ellipse (a>b)
Latus Rectum=2*(Minor axis)^2/(Major axis) GO
Latus Rectum of an ellipse (b>a)
Latus Rectum=2*(Minor axis)^2/Major axis GO
Directrix of an ellipse(a>b)
Directrix=Major axis/Eccentricity GO
Directrix of an ellipse(b>a)
Directrix=Major axis/Eccentricity GO
Area of an ellipse
Area=(pi*Major axis*Minor axis)/4 GO
Inradius of an ellipse
Inradius=Minor axis/2 GO

4 Other formulas that calculate the same Output

Eccentricity of hyperbola
Eccentricity=sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2)) GO
Eccentricity of an ellipse (a>b)
Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2)) GO
Eccentricity of an ellipse when linear eccentricity is given
Eccentricity=(Linear Eccentricity)/Major axis GO
Eccentricity of hyperbola when linear eccentricity is given
Eccentricity=Linear Eccentricity/Major axis GO

Eccentricity of an ellipse (b>a) Formula

Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2))
More formulas
Eccentricity of an ellipse (a>b) GO
Directrix of an ellipse(a>b) GO
Directrix of an ellipse(b>a) GO
Latus Rectum of an ellipse (a>b) GO
Latus Rectum of an ellipse (b>a) GO
Length of major axis of an ellipse (a>b) GO
Length of the major axis of an ellipse (b>a) GO
Length of minor axis of an ellipse (a>b) GO
Length of minor axis of an ellipse (b>a) GO
Linear eccentricity of an ellipse GO
Semi-latus rectum of an ellipse GO
Eccentricity of an ellipse when linear eccentricity is given GO
Semi-major axis of an ellipse GO
Semi-minor axis of an ellipse GO
Latus rectum of an ellipse when focal parameter is given GO
Linear eccentricity of ellipse when eccentricity and major axis are given GO
Linear eccentricity of an ellipse when eccentricity and semimajor axis are given GO
Semi-latus rectum of an ellipse when eccentricity is given GO

What is eccentricity and how it is calculated for an ellipse ?

The eccentricity of an ellipse is, most simply, the ratio of the distance c between the center of the ellipse and each focus to the length of the semimajor axis a. It is calculated by the formula e = √ 1 - (a2 / b2 ) where e is the eccentricity of an ellipse a is the minor axis of an ellipse and b is the major axis of an ellipse.

How to Calculate Eccentricity of an ellipse (b>a)?

Eccentricity of an ellipse (b>a) calculator uses Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2)) to calculate the Eccentricity, Eccentricity of an ellipse (b>a) is a non-negative real number that uniquely characterizes its shape. Eccentricity and is denoted by e symbol.

How to calculate Eccentricity of an ellipse (b>a) using this online calculator? To use this online calculator for Eccentricity of an ellipse (b>a), enter Major axis (a) and Minor axis (b) and hit the calculate button. Here is how the Eccentricity of an ellipse (b>a) calculation can be explained with given input values -> NaN = sqrt(1-((5)^2/(0.1)^2)).

FAQ

What is Eccentricity of an ellipse (b>a)?
Eccentricity of an ellipse (b>a) is a non-negative real number that uniquely characterizes its shape and is represented as e=sqrt(1-((b)^2/(a)^2)) or Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2)). Major axis is the line segment that crosses both the focal points of the ellipse and Minor axis is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse.
How to calculate Eccentricity of an ellipse (b>a)?
Eccentricity of an ellipse (b>a) is a non-negative real number that uniquely characterizes its shape is calculated using Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2)). To calculate Eccentricity of an ellipse (b>a), you need Major axis (a) and Minor axis (b). With our tool, you need to enter the respective value for Major axis and Minor axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Eccentricity?
In this formula, Eccentricity uses Major axis and Minor axis. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2))
  • Eccentricity=(Linear Eccentricity)/Major axis
  • Eccentricity=sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2))
  • Eccentricity=Linear Eccentricity/Major axis
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