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Semi Conjugate Axis of Hyperbola is half of the tangent from any of the vertices of the Hyperbola and chord to the circle passing through the foci and centered at the center of the Hyperbola. Check FAQs
b=c⋅1-1e2
b - Semi Conjugate Axis of Hyperbola?c - Linear Eccentricity of Hyperbola?e - Eccentricity of Hyperbola?

Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Example

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Here is how the Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity equation looks like with Values.

Here is how the Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity equation looks like with Units.

Here is how the Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity equation looks like.

12.2565Edit=13Edit⋅1-13Edit2
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Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Solution

Follow our step by step solution on how to calculate Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity?

FIRST Step Consider the formula
b=c⋅1-1e2
Next Step Substitute values of Variables
∴ b=13m⋅1-13m2
Next Step Prepare to Evaluate
∴ b=13⋅1-132
Next Step Evaluate
∴b=12.2565175405668m
LAST Step Rounding Answer
∴b=12.2565m

Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity Formula Elements

Variables
Functions
Semi Conjugate Axis of Hyperbola
Semi Conjugate Axis of Hyperbola is half of the tangent from any of the vertices of the Hyperbola and chord to the circle passing through the foci and centered at the center of the Hyperbola.
Symbol: b
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Semi Conjugate Axis of HyperbolaOpen Variable
Linear Eccentricity of Hyperbola
Linear Eccentricity of Hyperbola is half of the distance between foci of the Hyperbola.
Symbol: c
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Linear Eccentricity of HyperbolaOpen Variable
Eccentricity of 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.
Symbol: e
Measurement: LengthUnit: m
Note: Value should be greater than 1.
Formulas to find Eccentricity of HyperbolaOpen Variable
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Semi Conjugate Axis of Hyperbola

​Go Semi Conjugate Axis of Hyperbola given Eccentricity
b=a⋅e2-1
​Go Semi Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity
b=(L)2e2-12
​Go Semi Conjugate Axis of Hyperbola
b=2b2
​Go Semi Conjugate Axis of Hyperbola given Latus Rectum
b=L⋅a2

Other formulas in Conjugate Axis of Hyperbola category

​Go Conjugate Axis of Hyperbola
2b=2⋅b
​Go Conjugate Axis of Hyperbola given Latus Rectum and Eccentricity
2b=(L)2e2-1
​Go Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity
2b=2⋅c⋅1-1e2

How to Evaluate Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity?

Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity evaluator uses Semi Conjugate Axis of Hyperbola = Linear Eccentricity of Hyperbola*sqrt(1-1/Eccentricity of Hyperbola^2) to evaluate the Semi Conjugate Axis of Hyperbola, The Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity formula is defined as half of the tangent from any of the vertices of the Hyperbola and chord to the circle passing through the foci and centered at the center of the Hyperbola, and is calculated using the eccentricity and the linear eccentricity of the Hyperbola. Semi Conjugate Axis of Hyperbola is denoted by b symbol.

How to evaluate Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity using this online evaluator? To use this online evaluator for Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity, enter Linear Eccentricity of Hyperbola (c) & Eccentricity of Hyperbola (e) and hit the calculate button.

FAQs on Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity

What is the formula to find Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity?
The formula of Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity is expressed as Semi Conjugate Axis of Hyperbola = Linear Eccentricity of Hyperbola*sqrt(1-1/Eccentricity of Hyperbola^2). Here is an example- 12.25652 = 13*sqrt(1-1/3^2).
How to calculate Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity?
With Linear Eccentricity of Hyperbola (c) & Eccentricity of Hyperbola (e) we can find Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity using the formula - Semi Conjugate Axis of Hyperbola = Linear Eccentricity of Hyperbola*sqrt(1-1/Eccentricity of Hyperbola^2). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Semi Conjugate Axis of Hyperbola?
Here are the different ways to Calculate Semi Conjugate Axis of Hyperbola-
  • Semi Conjugate Axis of Hyperbola=Semi Transverse Axis of Hyperbola*sqrt(Eccentricity of Hyperbola^2-1)OpenImg
  • Semi Conjugate Axis of Hyperbola=sqrt((Latus Rectum of Hyperbola)^2/(Eccentricity of Hyperbola^2-1))/2OpenImg
  • Semi Conjugate Axis of Hyperbola=Conjugate Axis of Hyperbola/2OpenImg
Can the Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity be negative?
No, the Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity, measured in Length cannot be negative.
Which unit is used to measure Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity?
Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Semi Conjugate Axis of Hyperbola given Eccentricity and Linear Eccentricity can be measured.
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