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Eccentricity of hyperbola when linear eccentricity is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
eccentricity = Linear Eccentricity/Major axis
e = c/a
This formula uses 2 Variables
Variables Used
Linear Eccentricity - Linear eccentricity (c) is the distance between the center and a focus. (Measured in Centimeter)
Major axis - Major axis is the line segment that crosses both the focal points of the ellipse. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Linear Eccentricity: 20 Centimeter --> 0.2 Meter (Check conversion here)
Major axis: 10 Centimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = c/a --> 0.2/0.1
Evaluating ... ...
e = 2
STEP 3: Convert Result to Output's Unit
2 Meter -->200 Centimeter (Check conversion here)
FINAL ANSWER
200 Centimeter <-- Eccentricity
(Calculation completed in 00.016 seconds)

9 Hyperbola Calculators

Focal parameter of the hyperbola
focal_parameter_of_an_ellipse = (Semi-minor axis)^2/sqrt((Semi-major axis)^2+(Semi-minor axis)^2) Go
Linear eccentricity of the hyperbola
linear_eccentricity = sqrt((Semi-major axis)^2+(Semi-minor axis)^2) Go
Eccentricity of hyperbola
eccentricity = sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2)) Go
The length of the semi - minor axis if eccentricity is given
semiminor_axis = sqrt(Eccentricity^2-1)*Semi-major axis Go
Semi-latus rectum of hyperbola
semilatus_rectum = (Semi-minor axis)^2/Semi-major axis Go
Latus Rectum of hyperbola
latus_rectum = (2*(Minor axis)^2)/(Major axis) Go
Eccentricity of hyperbola when linear eccentricity is given
eccentricity = Linear Eccentricity/Major axis Go
Length of transverse axis of hyperbola
transverse_axis = 2*Major axis Go
Length of conjugate axis of the hyperbola
conjugate_axis = 2*Minor axis Go

Eccentricity of hyperbola when linear eccentricity is given Formula

eccentricity = Linear Eccentricity/Major axis
e = c/a

What is eccentricity of the hyperbola and how it is calculated?

The eccentricity of a hyperbola is the ratio of the distance from any point on the graph to the focus and the directrix. It is calculated by the formula e = c /a where e is the eccentricity of the hyperbola, c is the linear eccentricity of the hyperbola and a is the semi-major of the hyperbola

How to Calculate Eccentricity of hyperbola when linear eccentricity is given?

Eccentricity of hyperbola when linear eccentricity is given calculator uses eccentricity = Linear Eccentricity/Major axis to calculate the Eccentricity, Eccentricity of hyperbola when linear eccentricity is given is the ratio of the distance from any point on the graph to the focus and the directrix. Eccentricity and is denoted by e symbol.

How to calculate Eccentricity of hyperbola when linear eccentricity is given using this online calculator? To use this online calculator for Eccentricity of hyperbola when linear eccentricity is given, enter Linear Eccentricity (c) and Major axis (a) and hit the calculate button. Here is how the Eccentricity of hyperbola when linear eccentricity is given calculation can be explained with given input values -> 200 = 0.2/0.1.

FAQ

What is Eccentricity of hyperbola when linear eccentricity is given?
Eccentricity of hyperbola when linear eccentricity is given is the ratio of the distance from any point on the graph to the focus and the directrix and is represented as e = c/a or eccentricity = Linear Eccentricity/Major axis. Linear eccentricity (c) is the distance between the center and a focus and Major axis is the line segment that crosses both the focal points of the ellipse.
How to calculate Eccentricity of hyperbola when linear eccentricity is given?
Eccentricity of hyperbola when linear eccentricity is given is the ratio of the distance from any point on the graph to the focus and the directrix is calculated using eccentricity = Linear Eccentricity/Major axis. To calculate Eccentricity of hyperbola when linear eccentricity is given, you need Linear Eccentricity (c) and Major axis (a). With our tool, you need to enter the respective value for Linear Eccentricity and Major axis 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 Eccentricity?
In this formula, Eccentricity uses Linear Eccentricity and Major axis. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • eccentricity = sqrt(1+((Semi-minor axis)^2/(Semi-major axis)^2))
  • linear_eccentricity = sqrt((Semi-major axis)^2+(Semi-minor axis)^2)
  • semilatus_rectum = (Semi-minor axis)^2/Semi-major axis
  • focal_parameter_of_an_ellipse = (Semi-minor axis)^2/sqrt((Semi-major axis)^2+(Semi-minor axis)^2)
  • latus_rectum = (2*(Minor axis)^2)/(Major axis)
  • conjugate_axis = 2*Minor axis
  • transverse_axis = 2*Major axis
  • eccentricity = Linear Eccentricity/Major axis
  • semiminor_axis = sqrt(Eccentricity^2-1)*Semi-major axis
Where is the Eccentricity of hyperbola when linear eccentricity is given calculator used?
Among many, Eccentricity of hyperbola when linear eccentricity is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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