Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity Calculator

✖Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola.ⓘ Linear Eccentricity of Hyperbola [c]			+10% -10%
✖Eccentricity of Hyperbola is the ratio of distances of any point on the Hyperbola from focus and the directrix, or it is the ratio of linear eccentricity and semi transverse axis of the Hyperbola.ⓘ Eccentricity of Hyperbola [e]			+10% -10%

✖Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.ⓘ Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity [a]

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Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

Formula

`"a" = "c"/"e"`

Example

`"4.333333m"="13m"/"3m"`

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Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semi Transverse Axis of Hyperbola = Linear Eccentricity of Hyperbola/Eccentricity of Hyperbola
a = c/e
This formula uses 3 Variables

Variables Used

Semi Transverse Axis of Hyperbola - (Measured in Meter) - Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.
Linear Eccentricity of Hyperbola - (Measured in Meter) - Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola.
Eccentricity of Hyperbola - (Measured in Meter) - Eccentricity of Hyperbola is the ratio of distances of any point on the Hyperbola from focus and the directrix, or it is the ratio of linear eccentricity and semi transverse axis of the Hyperbola.

STEP 1: Convert Input(s) to Base Unit

Linear Eccentricity of Hyperbola: 13 Meter --> 13 Meter No Conversion Required
Eccentricity of Hyperbola: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = c/e --> 13/3

Evaluating ... ...

a = 4.33333333333333

STEP 3: Convert Result to Output's Unit

4.33333333333333 Meter --> No Conversion Required

FINAL ANSWER

4.33333333333333 ≈ 4.333333 Meter <-- Semi Transverse Axis of Hyperbola

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Hyperbola » Axis of Hyperbola » Transverse Axis of Hyperbola » Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 13 Transverse Axis of Hyperbola Calculators

Semi Transverse Axis of Hyperbola given Focal Parameter

Go Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/Focal Parameter of Hyperbola*sqrt(Semi Conjugate Axis of Hyperbola^2-Focal Parameter of Hyperbola^2)

Semi Transverse Axis of Hyperbola given Latus Rectum and Focal Parameter

Go Semi Transverse Axis of Hyperbola = (Focal Parameter of Hyperbola^2*Latus Rectum of Hyperbola/2)/(Latus Rectum of Hyperbola^2/4-Focal Parameter of Hyperbola^2)

Semi Transverse Axis of Hyperbola given Linear Eccentricity and Focal Parameter

Go Semi Transverse Axis of Hyperbola = sqrt(Linear Eccentricity of Hyperbola^2-(Focal Parameter of Hyperbola*Linear Eccentricity of Hyperbola))

Semi Transverse Axis of Hyperbola given Eccentricity and Focal Parameter

Go Semi Transverse Axis of Hyperbola = (Focal Parameter of Hyperbola*Eccentricity of Hyperbola)/(Eccentricity of Hyperbola^2-1)

Semi Transverse Axis of Hyperbola given Linear Eccentricity

Go Semi Transverse Axis of Hyperbola = sqrt(Linear Eccentricity of Hyperbola^2-Semi Conjugate Axis of Hyperbola^2)

Semi Transverse Axis of Hyperbola given Eccentricity

Go Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1)

Semi Transverse Axis of Hyperbola given Latus Rectum

Go Semi Transverse Axis of Hyperbola = (2*Semi Conjugate Axis of Hyperbola^2)/Latus Rectum of Hyperbola

Semi Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

Go Semi Transverse Axis of Hyperbola = Latus Rectum of Hyperbola/(2*(Eccentricity of Hyperbola^2-1))

Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

Go Semi Transverse Axis of Hyperbola = Linear Eccentricity of Hyperbola/Eccentricity of Hyperbola

Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

Go Transverse Axis of Hyperbola = (2*Linear Eccentricity of Hyperbola)/Eccentricity of Hyperbola

Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

Go Transverse Axis of Hyperbola = Latus Rectum of Hyperbola/(Eccentricity of Hyperbola^2-1)

Semi Transverse Axis of Hyperbola

Go Semi Transverse Axis of Hyperbola = Transverse Axis of Hyperbola/2

Transverse Axis of Hyperbola

Go Transverse Axis of Hyperbola = 2*Semi Transverse Axis of Hyperbola

Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity Formula

Semi Transverse Axis of Hyperbola = Linear Eccentricity of Hyperbola/Eccentricity of Hyperbola
a = c/e

What is Hyperbola?

A Hyperbola is a type of conic section, which is a geometric figure that results from intersecting a cone with a plane. A Hyperbola is defined as the set of all points in a plane, the difference of whose distances from two fixed points (called the foci) is constant. In other words, a Hyperbola is the locus of points where the difference between the distances to two fixed points is a constant value. The standard form of the equation for a Hyperbola is: (x - h)²/a² - (y - k)²/b² = 1

What is Transverse Axis of the Hyperbola and how is it calculated?

The transverse axis is actually the major axis of the Hyperbola. It is the line segment that passes through the center of the Hyperbola and has vertices as its endpoints. It is double the semi-transverse axis of the Hyperbola, and it is denoted by 2a. And a denotes the semi-transverse axis of the Hyperbola, which has more role in the formulas.

How to Calculate Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity?

Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity calculator uses Semi Transverse Axis of Hyperbola = Linear Eccentricity of Hyperbola/Eccentricity of Hyperbola to calculate the Semi Transverse Axis of Hyperbola, The Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity formula is defined as half of the line segment joining two vertices of the Hyperbola and is calculated using the eccentricity and the linear eccentricity of the Hyperbola. Semi Transverse Axis of Hyperbola is denoted by a symbol.

How to calculate Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity using this online calculator? To use this online calculator for Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity, enter Linear Eccentricity of Hyperbola (c) & Eccentricity of Hyperbola (e) and hit the calculate button. Here is how the Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity calculation can be explained with given input values -> 4.333333 = 13/3.

FAQ

What is Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity?

The Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity formula is defined as half of the line segment joining two vertices of the Hyperbola and is calculated using the eccentricity and the linear eccentricity of the Hyperbola and is represented as a = c/e or Semi Transverse Axis of Hyperbola = Linear Eccentricity of Hyperbola/Eccentricity of Hyperbola. Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola & Eccentricity of Hyperbola is the ratio of distances of any point on the Hyperbola from focus and the directrix, or it is the ratio of linear eccentricity and semi transverse axis of the Hyperbola.

How to calculate Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity?

The Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity formula is defined as half of the line segment joining two vertices of the Hyperbola and is calculated using the eccentricity and the linear eccentricity of the Hyperbola is calculated using Semi Transverse Axis of Hyperbola = Linear Eccentricity of Hyperbola/Eccentricity of Hyperbola. To calculate Semi Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity, you need Linear Eccentricity of Hyperbola (c) & Eccentricity of Hyperbola (e). With our tool, you need to enter the respective value for Linear Eccentricity of Hyperbola & Eccentricity of Hyperbola 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 Transverse Axis of Hyperbola?

In this formula, Semi Transverse Axis of Hyperbola uses Linear Eccentricity of Hyperbola & Eccentricity of Hyperbola. We can use 9 other way(s) to calculate the same, which is/are as follows -

Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1)
Semi Transverse Axis of Hyperbola = Transverse Axis of Hyperbola/2
Semi Transverse Axis of Hyperbola = (2*Semi Conjugate Axis of Hyperbola^2)/Latus Rectum of Hyperbola
Semi Transverse Axis of Hyperbola = sqrt(Linear Eccentricity of Hyperbola^2-Semi Conjugate Axis of Hyperbola^2)
Semi Transverse Axis of Hyperbola = Latus Rectum of Hyperbola/(2*(Eccentricity of Hyperbola^2-1))
Semi Transverse Axis of Hyperbola = Semi Conjugate Axis of Hyperbola/Focal Parameter of Hyperbola*sqrt(Semi Conjugate Axis of Hyperbola^2-Focal Parameter of Hyperbola^2)
Semi Transverse Axis of Hyperbola = (Focal Parameter of Hyperbola^2*Latus Rectum of Hyperbola/2)/(Latus Rectum of Hyperbola^2/4-Focal Parameter of Hyperbola^2)
Semi Transverse Axis of Hyperbola = sqrt(Linear Eccentricity of Hyperbola^2-(Focal Parameter of Hyperbola*Linear Eccentricity of Hyperbola))
Semi Transverse Axis of Hyperbola = (Focal Parameter of Hyperbola*Eccentricity of Hyperbola)/(Eccentricity of Hyperbola^2-1)

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