Shashwati Tidke
Vishwakarma Institute of Technology (VIT), Pune
Shashwati Tidke has created this Calculator and 10+ more calculators!
Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 100+ more calculators!

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

3 Other formulas that calculate the same Output

Semi-minor axis of an ellipse
Semi-minor axis=sqrt((Semi-major axis)^2-(Linear Eccentricity)^2) GO
Outer semi-minor axis (b) of elliptical ring given ring width
Semi-minor axis=axis c+Width GO
Semi axis b of elliptical segment given axis d of ellipse
Semi-minor axis=axis d/2 GO

The length of the semi - minor axis if eccentricity is given Formula

Semi-minor axis=sqrt(Eccentricity^2-1)*Semi-major axis
b=sqrt(e^2-1)*a
More formulas
Eccentricity of hyperbola 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

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

he 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 The length of the semi - minor axis if eccentricity is given?

The length of the semi - minor axis if eccentricity is given calculator uses Semi-minor axis=sqrt(Eccentricity^2-1)*Semi-major axis to calculate the Semi-minor axis, The length of the semi - minor axis if eccentricity is given defined as line segment that is at right angles with the semi-major axis and has one end at the center of the conic section. Semi-minor axis and is denoted by b symbol.

How to calculate The length of the semi - minor axis if eccentricity is given using this online calculator? To use this online calculator for The length of the semi - minor axis if eccentricity is given, enter Eccentricity (e) and Semi-major axis (a) and hit the calculate button. Here is how the The length of the semi - minor axis if eccentricity is given calculation can be explained with given input values -> NaN = sqrt(0.1^2-1)*0.1.

FAQ

What is The length of the semi - minor axis if eccentricity is given?
The length of the semi - minor axis if eccentricity is given defined as line segment that is at right angles with the semi-major axis and has one end at the center of the conic section and is represented as b=sqrt(e^2-1)*a or Semi-minor axis=sqrt(Eccentricity^2-1)*Semi-major axis. Eccentricity of an ellipse is a non-negative real number that uniquely characterizes its shape and Semi-major axis is one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter.
How to calculate The length of the semi - minor axis if eccentricity is given?
The length of the semi - minor axis if eccentricity is given defined as line segment that is at right angles with the semi-major axis and has one end at the center of the conic section is calculated using Semi-minor axis=sqrt(Eccentricity^2-1)*Semi-major axis. To calculate The length of the semi - minor axis if eccentricity is given, you need Eccentricity (e) and Semi-major axis (a). With our tool, you need to enter the respective value for Eccentricity and Semi-major 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 Semi-minor axis?
In this formula, Semi-minor axis uses Eccentricity and Semi-major axis. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Semi-minor axis=sqrt((Semi-major axis)^2-(Linear Eccentricity)^2)
  • Semi-minor axis=axis d/2
  • Semi-minor axis=axis c+Width
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