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Semi Minor Axis of Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse. Check FAQs
b=a⋅1-e2
b - Semi Minor Axis of Ellipse?a - Semi Major Axis of Ellipse?e - Eccentricity of Ellipse?

Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis Example

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Here is how the Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis equation looks like with Values.

Here is how the Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis equation looks like with Units.

Here is how the Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis equation looks like.

6Edit=10Edit⋅1-0.8Edit2
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Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis Solution

Follow our step by step solution on how to calculate Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis?

FIRST Step Consider the formula
b=a⋅1-e2
Next Step Substitute values of Variables
∴ b=10m⋅1-0.8m2
Next Step Prepare to Evaluate
∴ b=10⋅1-0.82
LAST Step Evaluate
∴b=6m

Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis Formula Elements

Variables
Functions
Semi Minor Axis of Ellipse
Semi Minor Axis of Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse.
Symbol: b
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Semi Minor Axis of EllipseOpen Variable
Semi Major Axis of Ellipse
Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.
Symbol: a
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Semi Major Axis of EllipseOpen Variable
Eccentricity of Ellipse
Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.
Symbol: e
Measurement: LengthUnit: m
Note: Value should be between 0 to 1.
Formulas to find Eccentricity of EllipseOpen Variable
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 Minor Axis of Ellipse

​Go Semi Minor Axis of Ellipse given Eccentricity and Linear Eccentricity
b=c⋅1-e2e
​Go Semi Minor Axis of Ellipse given Linear Eccentricity and Semi Major Axis
b=a2-c2

Other formulas in Minor Axis of Ellipse category

​Go Minor Axis of Ellipse
2b=2⋅b

How to Evaluate Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis?

Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis evaluator uses Semi Minor Axis of Ellipse = Semi Major Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2) to evaluate the Semi Minor Axis of Ellipse, The Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the eccentricity and semi-major axis of the Ellipse. Semi Minor Axis of Ellipse is denoted by b symbol.

How to evaluate Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis using this online evaluator? To use this online evaluator for Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis, enter Semi Major Axis of Ellipse (a) & Eccentricity of Ellipse (e) and hit the calculate button.

FAQs on Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis

What is the formula to find Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis?
The formula of Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis is expressed as Semi Minor Axis of Ellipse = Semi Major Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2). Here is an example- 6 = 10*sqrt(1-0.8^2).
How to calculate Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis?
With Semi Major Axis of Ellipse (a) & Eccentricity of Ellipse (e) we can find Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis using the formula - Semi Minor Axis of Ellipse = Semi Major Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Semi Minor Axis of Ellipse?
Here are the different ways to Calculate Semi Minor Axis of Ellipse-
  • Semi Minor Axis of Ellipse=(Linear Eccentricity of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/Eccentricity of EllipseOpenImg
  • Semi Minor Axis of Ellipse=sqrt(Semi Major Axis of Ellipse^2-Linear Eccentricity of Ellipse^2)OpenImg
Can the Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis be negative?
No, the Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis, measured in Length cannot be negative.
Which unit is used to measure Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis?
Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis can be measured.
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