FormulaDen.com

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

Semi Minor Axis of Ellipse given Area and Eccentricity Formula

GoSemi Minor Axis of Ellipse Formula

GoSemi Minor Axis of Ellipse given Area and Semi Major Axis Formula

Fx Copy

LaTeX Copy

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 = \sqrt{\frac{A \cdot \sqrt{1 - e^{2}}}{π}}

b - Semi Minor Axis of Ellipse?A - Area of Ellipse?e - Eccentricity of Ellipse?π - Archimedes' constant?

Semi Minor Axis of Ellipse given Area and Eccentricity Example

With values

With units

Only example

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

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

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

6.0239 = \sqrt{\frac{190 \cdot \sqrt{1 - {0.8}^{2}}}{3.1416}}

6.0239m = \sqrt{\frac{190m² \cdot \sqrt{1 - {0.8m}^{2}}}{3.1416}}

6.0239 = \sqrt{\frac{190 \cdot \sqrt{1 - {0.8}^{2}}}{3.1416}}

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 Minor Axis of Ellipse given Area and Eccentricity

Semi Minor Axis of Ellipse given Area and Eccentricity Solution

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

FIRST Step Consider the formula

b = \sqrt{\frac{A \cdot \sqrt{1 - e^{2}}}{π}}

Next Step Substitute values of Variables

∴

b = \sqrt{\frac{190m² \cdot \sqrt{1 - {0.8m}^{2}}}{π}}

Next Step Substitute values of Constants

∴

b = \sqrt{\frac{190m² \cdot \sqrt{1 - {0.8m}^{2}}}{3.1416}}

Next Step Prepare to Evaluate

∴

b = \sqrt{\frac{190 \cdot \sqrt{1 - {0.8}^{2}}}{3.1416}}

Next Step Evaluate

∴

b = 6.02389633252035m

LAST Step Rounding Answer

∴

b = 6.0239m

Semi Minor Axis of Ellipse given Area and Eccentricity Formula Elements

Variables

Constants

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 Ellipse

Area of Ellipse

Area of Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Ellipse

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 Ellipse

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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

b = \frac{2b}{2}

Go Semi Minor Axis of Ellipse given Area and Semi Major Axis

b = \frac{A}{π \cdot a}

Go Semi Minor Axis of Ellipse given Linear Eccentricity and Semi Major Axis

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

Go Semi Minor Axis of Ellipse given Area, Linear Eccentricity and Eccentricity

b = e \cdot (\frac{A}{π \cdot c})

Other formulas in Minor Axis of Ellipse category

Go Minor Axis of Ellipse given Area and Major Axis

2b = \frac{4 \cdot A}{π \cdot 2a}

Go Minor Axis of Ellipse

2b = 2 \cdot b

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

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

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

FAQs on Semi Minor Axis of Ellipse given Area and Eccentricity

What is the formula to find Semi Minor Axis of Ellipse given Area and Eccentricity?

The formula of Semi Minor Axis of Ellipse given Area and Eccentricity is expressed as Semi Minor Axis of Ellipse = sqrt((Area of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/pi). Here is an example- 6.023896 = sqrt((190*sqrt(1-0.8^2))/pi).

How to calculate Semi Minor Axis of Ellipse given Area and Eccentricity?

With Area of Ellipse (A) & Eccentricity of Ellipse (e) we can find Semi Minor Axis of Ellipse given Area and Eccentricity using the formula - Semi Minor Axis of Ellipse = sqrt((Area of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/pi). This formula also uses Archimedes' constant and 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=Minor Axis of Ellipse/2
Semi Minor Axis of Ellipse=Area of Ellipse/(pi*Semi Major Axis of Ellipse)
Semi Minor Axis of Ellipse=sqrt(Semi Major Axis of Ellipse^2-Linear Eccentricity of Ellipse^2)

Can the Semi Minor Axis of Ellipse given Area and Eccentricity be negative?

No, the Semi Minor Axis of Ellipse given Area and Eccentricity, measured in Length cannot be negative.

Which unit is used to measure Semi Minor Axis of Ellipse given Area and Eccentricity?

Semi Minor Axis of Ellipse given Area and Eccentricity 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 Area and Eccentricity can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit