FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Semi Transverse Axis of Hyperbola given Latus Rectum Formula

GoSemi Transverse Axis of Hyperbola given Eccentricity Formula

GoSemi Transverse Axis of Hyperbola Formula

Fx Copy

LaTeX Copy

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

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

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

Semi Transverse Axis of Hyperbola given Latus Rectum Example

With values

With units

Only example

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

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

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

4.8 = \frac{2 \cdot 12^{2}}{60}

4.8m = \frac{2 \cdot {12m}^{2}}{60m}

4.8 = \frac{2 \cdot 12^{2}}{60}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Semi Transverse Axis of Hyperbola given Latus Rectum

Semi Transverse Axis of Hyperbola given Latus Rectum Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = \frac{2 \cdot {12m}^{2}}{60m}

Next Step Prepare to Evaluate

∴

a = \frac{2 \cdot 12^{2}}{60}

LAST Step Evaluate

∴

a = 4.8m

Semi Transverse Axis of Hyperbola given Latus Rectum Formula Elements

Variables

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

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

Other Formulas to find Semi Transverse Axis of Hyperbola

Go Semi Transverse Axis of Hyperbola given Eccentricity

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

Go Semi Transverse Axis of Hyperbola

a = \frac{2a}{2}

Go Semi Transverse Axis of Hyperbola given Linear Eccentricity

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

Go Semi Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

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

Other formulas in Transverse Axis of Hyperbola category

Go Transverse Axis of Hyperbola

2a = 2 \cdot a

Go Transverse Axis of Hyperbola given Latus Rectum and Eccentricity

2a = \frac{L}{e^{2} - 1}

Go Transverse Axis of Hyperbola given Linear Eccentricity and Eccentricity

2a = \frac{2 \cdot c}{e}

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

Semi Transverse Axis of Hyperbola given Latus Rectum evaluator uses Semi Transverse Axis of Hyperbola = (2*Semi Conjugate Axis of Hyperbola^2)/Latus Rectum of Hyperbola to evaluate the Semi Transverse Axis of Hyperbola, The Semi Transverse Axis of Hyperbola given Latus Rectum formula is defined as half of the line segment joining two vertices of the Hyperbola and is calculated using the latus rectum and the semi-conjugate axis of the Hyperbola. Semi Transverse Axis of Hyperbola is denoted by a symbol.

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

FAQs on Semi Transverse Axis of Hyperbola given Latus Rectum

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

The formula of Semi Transverse Axis of Hyperbola given Latus Rectum is expressed as Semi Transverse Axis of Hyperbola = (2*Semi Conjugate Axis of Hyperbola^2)/Latus Rectum of Hyperbola. Here is an example- 4.8 = (2*12^2)/60.

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

With Semi Conjugate Axis of Hyperbola (b) & Latus Rectum of Hyperbola (L) we can find Semi Transverse Axis of Hyperbola given Latus Rectum using the formula - Semi Transverse Axis of Hyperbola = (2*Semi Conjugate Axis of Hyperbola^2)/Latus Rectum of Hyperbola.

What are the other ways to Calculate Semi Transverse Axis of Hyperbola?

Here are the different ways to Calculate Semi Transverse Axis of Hyperbola-

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

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Semi Transverse Axis of Hyperbola given Latus Rectum Formula

​GoSemi Transverse Axis of Hyperbola given Eccentricity Formula

​GoSemi Transverse Axis of Hyperbola Formula

Semi Transverse Axis of Hyperbola given Latus Rectum Example

Semi Transverse Axis of Hyperbola given Latus Rectum Solution

Semi Transverse Axis of Hyperbola given Latus Rectum Formula Elements

Other Formulas to find Semi Transverse Axis of Hyperbola

Other formulas in Transverse Axis of Hyperbola category

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

FAQs on Semi Transverse Axis of Hyperbola given Latus Rectum

Variable Name

GoSemi Transverse Axis of Hyperbola given Eccentricity Formula

GoSemi Transverse Axis of Hyperbola Formula