Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis Calculator

✖Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.ⓘ Semi Transverse Axis of Hyperbola [a]			+10% -10%
✖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.ⓘ Latus Rectum of Hyperbola [L]			+10% -10%

✖Focal Parameter of Hyperbola is the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola.ⓘ Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis [p]

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Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Focal Parameter of Hyperbola = ((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)/sqrt(Semi Transverse Axis of Hyperbola^2+((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)^2)
p = ((a*L)/2)/sqrt(a^2+((a*L)/2)^2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Focal Parameter of Hyperbola - (Measured in Meter) - Focal Parameter of Hyperbola is the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola.
Semi Transverse Axis of Hyperbola - (Measured in Meter) - Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the Hyperbola.
Latus Rectum of Hyperbola - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Semi Transverse Axis of Hyperbola: 5 Meter --> 5 Meter No Conversion Required
Latus Rectum of Hyperbola: 60 Meter --> 60 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = ((a*L)/2)/sqrt(a^2+((a*L)/2)^2) --> ((5*60)/2)/sqrt(5^2+((5*60)/2)^2)

Evaluating ... ...

p = 0.999444906979154

STEP 3: Convert Result to Output's Unit

0.999444906979154 Meter --> No Conversion Required

FINAL ANSWER

0.999444906979154 ≈ 0.999445 Meter <-- Focal Parameter of Hyperbola

(Calculation completed in 00.004 seconds)

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< Focal Parameter of Hyperbola Calculators

Focal Parameter of Hyperbola

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

Focal Parameter of Hyperbola given Eccentricity and Semi Conjugate Axis

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

Focal Parameter of Hyperbola given Linear Eccentricity and Semi Transverse Axis

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

Focal Parameter of Hyperbola given Linear Eccentricity and Semi Conjugate Axis

LaTeX Go Focal Parameter of Hyperbola = (Semi Conjugate Axis of Hyperbola^2)/Linear Eccentricity of Hyperbola

Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis Formula

LaTeX Go

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 Focal Parameter of a Hyperbola and how is it calculated?

The focal parameter of the Hyperbola is the shortest distance from a focus to the corresponding directrix. It is calculated by the formula p= b²/√(a²+b²) where p is the focal parameter of the Hyperbola, b is the semi conjugate axis of the Hyperbola and a is the semi transverse axis of the Hyperbola.

How to Calculate Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis?

Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis calculator uses Focal Parameter of Hyperbola = ((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)/sqrt(Semi Transverse Axis of Hyperbola^2+((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)^2) to calculate the Focal Parameter of Hyperbola, The Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis formula is defined as the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola and is calculated using the latus rectum and semi-transverse axis of the Hyperbola. Focal Parameter of Hyperbola is denoted by p symbol.

How to calculate Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis using this online calculator? To use this online calculator for Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis, enter Semi Transverse Axis of Hyperbola (a) & Latus Rectum of Hyperbola (L) and hit the calculate button. Here is how the Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis calculation can be explained with given input values -> 0.999445 = ((5*60)/2)/sqrt(5^2+((5*60)/2)^2).

FAQ

What is Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis?

The Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis formula is defined as the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola and is calculated using the latus rectum and semi-transverse axis of the Hyperbola and is represented as p = ((a*L)/2)/sqrt(a^2+((a*L)/2)^2) or Focal Parameter of Hyperbola = ((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)/sqrt(Semi Transverse Axis of Hyperbola^2+((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)^2). Semi Transverse Axis of Hyperbola is half of the distance between the vertices of the 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.

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

The Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis formula is defined as the shortest distance between any of the foci and directrix of the corresponding wing of the Hyperbola and is calculated using the latus rectum and semi-transverse axis of the Hyperbola is calculated using Focal Parameter of Hyperbola = ((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)/sqrt(Semi Transverse Axis of Hyperbola^2+((Semi Transverse Axis of Hyperbola*Latus Rectum of Hyperbola)/2)^2). To calculate Focal Parameter of Hyperbola given Latus Rectum and Semi Transverse Axis, you need Semi Transverse Axis of Hyperbola (a) & Latus Rectum of Hyperbola (L). With our tool, you need to enter the respective value for Semi Transverse Axis of Hyperbola & Latus Rectum 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 Focal Parameter of Hyperbola?

In this formula, Focal Parameter of Hyperbola uses Semi Transverse Axis of Hyperbola & Latus Rectum of Hyperbola. We can use 3 other way(s) to calculate the same, which is/are as follows -

Focal Parameter of Hyperbola = (Semi Conjugate Axis of Hyperbola^2)/sqrt(Semi Transverse Axis of Hyperbola^2+Semi Conjugate Axis of Hyperbola^2)
Focal Parameter of Hyperbola = (Semi Conjugate Axis of Hyperbola^2)/Linear Eccentricity of Hyperbola
Focal Parameter of Hyperbola = Semi Conjugate Axis of Hyperbola/(Eccentricity of Hyperbola/sqrt(Eccentricity of Hyperbola^2-1))

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