7 Other formulas that you can solve using the same Inputs

Focal parameter of the hyperbola
Focal parameter of an ellipse=(Semi-minor axis)^2/sqrt((Semi-major axis)^2+(Semi-minor axis)^2) GO
Linear eccentricity of the hyperbola
Linear Eccentricity=sqrt((Semi-major axis)^2+(Semi-minor axis)^2) GO
Semi-major axis of an ellipse
Semi-major axis=sqrt((Semi-minor axis)^2+(Linear Eccentricity)^2) GO
Semi-minor axis of an ellipse
Semi-minor axis=sqrt((Semi-major axis)^2-(Linear Eccentricity)^2) GO
Semi-latus rectum of an ellipse when eccentricity is given
Semi-latus rectum=Semi-major axis*(1-(Eccentricity)^2) GO
Semi-latus rectum of hyperbola
Semi-latus rectum=(Semi-minor axis)^2/Semi-major axis GO
Linear eccentricity of an ellipse when eccentricity and semimajor axis are given
Linear Eccentricity=(Eccentricity*Semi-major axis) GO

4 Other formulas that calculate the same Output

Eccentricity of an ellipse (a>b)
Eccentricity=sqrt(1-((Minor axis)^2/(Major axis)^2)) GO
Eccentricity of an ellipse (b>a)
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 hyperbola Formula

Eccentricity=sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2))
More formulas
Area of a Sector GO
Inscribed angle of the circle when the central angle of the circle is given GO
Inscribed angle when other inscribed angle is given GO
Arc length of the circle when central angle and radius are given GO
Area of the sector when radius and central angle are given GO
Area of sector when radius and central angle are given GO
Heron's formula GO
Eccentricity of an ellipse (a>b) GO
Eccentricity of an ellipse (b>a) 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
Linear eccentricity of the hyperbola GO
Semi-latus rectum of hyperbola GO
Focal parameter of the hyperbola GO
Latus Rectum of hyperbola GO
Length of transverse axis of hyperbola GO
Length of conjugate axis of the hyperbola GO
Eccentricity of hyperbola when linear eccentricity is given GO
Length of latus rectum of parabola GO
Number of diagonal of a regular polygon with given number of sides GO

What is eccentricity of the hyperbola and how it is calculated?

The eccentricity of a hyperbola is the ratio of the distance from any point on the graph to the focus and the directrix. It is calculated by the formula e = √(1 + b2 / a2) where e is the eccentricity of the hyperbola , b is the semi-minor axis of the hyperbola and a is the semi-major of the hyperbola.

How to Calculate Eccentricity of hyperbola?

Eccentricity of hyperbola calculator uses Eccentricity=sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2)) to calculate the Eccentricity, Eccentricity of hyperbola is the ratio of the distance from any point on the graph to the focus and the directrix. Eccentricity and is denoted by e symbol.

How to calculate Eccentricity of hyperbola using this online calculator? To use this online calculator for Eccentricity of hyperbola, enter Semi-major axis (a) and Semi-minor axis (b) and hit the calculate button. Here is how the Eccentricity of hyperbola calculation can be explained with given input values -> 141.4214 = sqrt(1+((0.1)^2/(0.1)^2)).

FAQ

What is Eccentricity of hyperbola?
Eccentricity of hyperbola is the ratio of the distance from any point on the graph to the focus and the directrix and is represented as e=sqrt(1+((b)^2/(a)^2)) or Eccentricity=sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2)). Semi-major axis is one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter and Semi-minor axis of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section.
How to calculate Eccentricity of hyperbola?
Eccentricity of hyperbola is the ratio of the distance from any point on the graph to the focus and the directrix is calculated using Eccentricity=sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2)). To calculate Eccentricity of hyperbola, you need Semi-major axis (a) and Semi-minor axis (b). With our tool, you need to enter the respective value for Semi-major axis and Semi-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 Semi-major axis and Semi-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=sqrt(1-((Minor axis)^2/(Major axis)^2))
  • Eccentricity=(Linear Eccentricity)/Major axis
  • Eccentricity=Linear Eccentricity/Major axis
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