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Semi Conjugate Axis of Hyperbola given Latus Rectum Formula

GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula

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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 = \sqrt{\frac{L \cdot a}{2}}

b - Semi Conjugate Axis of Hyperbola?L - Latus Rectum of Hyperbola?a - Semi Transverse Axis of Hyperbola?

Semi Conjugate Axis of Hyperbola given Latus Rectum Example

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

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

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

12.2474 = \sqrt{\frac{60 \cdot 5}{2}}

12.2474m = \sqrt{\frac{60m \cdot 5m}{2}}

12.2474 = \sqrt{\frac{60 \cdot 5}{2}}

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Semi Conjugate Axis of Hyperbola given Latus Rectum Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \sqrt{\frac{60m \cdot 5m}{2}}

Next Step Prepare to Evaluate

∴

b = \sqrt{\frac{60 \cdot 5}{2}}

Next Step Evaluate

∴

b = 12.2474487139159m

LAST Step Rounding Answer

∴

b = 12.2474m

Semi Conjugate Axis of Hyperbola given Latus Rectum 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 Hyperbola

Latus Rectum of Hyperbola

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

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Latus Rectum of Hyperbola

Semi Transverse Axis of Hyperbola

Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Transverse Axis 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 Conjugate Axis of Hyperbola

Go Semi Conjugate Axis of Hyperbola given Eccentricity

b = a \cdot \sqrt{e^{2} - 1}

Other formulas in Conjugate Axis of Hyperbola category

Go Conjugate Axis of Hyperbola

2b = 2 \cdot b

Go Semi Transverse Axis of Hyperbola given Focal Parameter

a = \frac{b}{p} \cdot \sqrt{b^{2} - p^{2}}

Go Semi Transverse Axis of Hyperbola given Linear Eccentricity

a = \sqrt{c^{2} - b^{2}}

Go Transverse Axis of Hyperbola

2a = 2 \cdot a

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

Semi Conjugate Axis of Hyperbola given Latus Rectum evaluator uses Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola*Semi Transverse Axis of Hyperbola)/2) to evaluate the Semi Conjugate Axis of Hyperbola, The Semi Conjugate Axis of Hyperbola given Latus Rectum 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 latus rectum and the semi transverse axis of the Hyperbola. Semi Conjugate Axis of Hyperbola is denoted by b symbol.

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

FAQs on Semi Conjugate Axis of Hyperbola given Latus Rectum

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

The formula of Semi Conjugate Axis of Hyperbola given Latus Rectum is expressed as Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola*Semi Transverse Axis of Hyperbola)/2). Here is an example- 12.24745 = sqrt((60*5)/2).

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

With Latus Rectum of Hyperbola (L) & Semi Transverse Axis of Hyperbola (a) we can find Semi Conjugate Axis of Hyperbola given Latus Rectum using the formula - Semi Conjugate Axis of Hyperbola = sqrt((Latus Rectum of Hyperbola*Semi Transverse Axis 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)

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

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

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

Semi Conjugate Axis of Hyperbola given Latus Rectum 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 Latus Rectum can be measured.

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Semi Conjugate Axis of Hyperbola given Latus Rectum Formula

​GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula

Semi Conjugate Axis of Hyperbola given Latus Rectum Example

Semi Conjugate Axis of Hyperbola given Latus Rectum Solution

Semi Conjugate Axis of Hyperbola given Latus Rectum Formula Elements

Other Formulas to find Semi Conjugate Axis of Hyperbola

Other formulas in Conjugate Axis of Hyperbola category

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

FAQs on Semi Conjugate Axis of Hyperbola given Latus Rectum

Variable Name

GoSemi Conjugate Axis of Hyperbola given Eccentricity Formula