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Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

GoSemi Latus Rectum of Hyperbola Formula

GoSemi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula

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Semi Latus Rectum of Hyperbola is half of the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola. Check FAQs

L Semi = \frac{\sqrt{{(2 \cdot b)}^{2} \cdot (e^{2} - 1)}}{2}

L_Semi - Semi Latus Rectum of Hyperbola?b - Semi Conjugate Axis of Hyperbola?e - Eccentricity of Hyperbola?

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Example

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

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

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

33.9411 = \frac{\sqrt{{(2 \cdot 12)}^{2} \cdot (3^{2} - 1)}}{2}

33.9411m = \frac{\sqrt{{(2 \cdot 12m)}^{2} \cdot ({3m}^{2} - 1)}}{2}

33.9411 = \frac{\sqrt{{(2 \cdot 12)}^{2} \cdot (3^{2} - 1)}}{2}

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Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Solution

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

FIRST Step Consider the formula

L Semi = \frac{\sqrt{{(2 \cdot b)}^{2} \cdot (e^{2} - 1)}}{2}

Next Step Substitute values of Variables

∴

L Semi = \frac{\sqrt{{(2 \cdot 12m)}^{2} \cdot ({3m}^{2} - 1)}}{2}

Next Step Prepare to Evaluate

∴

L Semi = \frac{\sqrt{{(2 \cdot 12)}^{2} \cdot (3^{2} - 1)}}{2}

Next Step Evaluate

∴

L Semi = 33.9411254969543m

LAST Step Rounding Answer

∴

L Semi = 33.9411m

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula Elements

Variables

Functions

Semi Latus Rectum of Hyperbola

Semi Latus Rectum of Hyperbola is half of the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola.

Symbol: L_Semi

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Latus Rectum of Hyperbola

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 Hyperbola

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 Hyperbola

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 Latus Rectum of Hyperbola

Go Semi Latus Rectum of Hyperbola

L Semi = \frac{b^{2}}{a}

Go Semi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

L Semi = \frac{\sqrt{\frac{{(2 \cdot b^{2})}^{2}}{c^{2} - b^{2}}}}{2}

Go Semi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis

L Semi = a \cdot ({(\frac{c}{a})}^{2} - 1)

Go Semi Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis

L Semi = a \cdot (e^{2} - 1)

Other formulas in Latus Rectum of Hyperbola category

Go Latus Rectum of Hyperbola

L = 2 \cdot \frac{b^{2}}{a}

Go Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis

L = \sqrt{{(2 \cdot b)}^{2} \cdot (e^{2} - 1)}

Go Latus Rectum of Hyperbola given Eccentricity and Semi Transverse Axis

L = 2 \cdot a \cdot (e^{2} - 1)

Go Latus Rectum of Hyperbola given Linear Eccentricity and Semi Transverse Axis

L = 2 \cdot a \cdot ({(\frac{c}{a})}^{2} - 1)

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

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis evaluator uses Semi Latus Rectum of Hyperbola = sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1))/2 to evaluate the Semi Latus Rectum of Hyperbola, The Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis formula is defined as half of the line segment passing through any of the foci and perpendicular to the transverse axis whose ends are on the Hyperbola, and is calculated using the eccentricity and semi-conjugate axis of the Hyperbola. Semi Latus Rectum of Hyperbola is denoted by L_Semi symbol.

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

FAQs on Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis

What is the formula to find Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis?

The formula of Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis is expressed as Semi Latus Rectum of Hyperbola = sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1))/2. Here is an example- 33.94113 = sqrt((2*12)^2*(3^2-1))/2.

How to calculate Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis?

With Semi Conjugate Axis of Hyperbola (b) & Eccentricity of Hyperbola (e) we can find Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis using the formula - Semi Latus Rectum of Hyperbola = sqrt((2*Semi Conjugate Axis of Hyperbola)^2*(Eccentricity of Hyperbola^2-1))/2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Semi Latus Rectum of Hyperbola?

Here are the different ways to Calculate Semi Latus Rectum of Hyperbola-

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

Can the Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis be negative?

No, the Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis, measured in Length cannot be negative.

Which unit is used to measure Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis?

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis can be measured.

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Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula

​GoSemi Latus Rectum of Hyperbola Formula

​GoSemi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Example

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Solution

Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis Formula Elements

Other Formulas to find Semi Latus Rectum of Hyperbola

Other formulas in Latus Rectum of Hyperbola category

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

FAQs on Semi Latus Rectum of Hyperbola given Eccentricity and Semi Conjugate Axis

Variable Name

GoSemi Latus Rectum of Hyperbola Formula

GoSemi Latus Rectum of Hyperbola given Linear Eccentricity and Semi Conjugate Axis Formula