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

GoSemi Major Axis of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

GoSemi Major Axis of Ellipse Formula

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Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse. Check FAQs

a = \frac{A}{π \cdot b}

a - Semi Major Axis of Ellipse?A - Area of Ellipse?b - Semi Minor Axis of Ellipse?π - Archimedes' constant?

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

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

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

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

10.0798 = \frac{190}{3.1416 \cdot 6}

10.0798m = \frac{190m²}{3.1416 \cdot 6m}

10.0798 = \frac{190}{3.1416 \cdot 6}

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

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

FIRST Step Consider the formula

a = \frac{A}{π \cdot b}

Next Step Substitute values of Variables

∴

a = \frac{190m²}{π \cdot 6m}

Next Step Substitute values of Constants

∴

a = \frac{190m²}{3.1416 \cdot 6m}

Next Step Prepare to Evaluate

∴

a = \frac{190}{3.1416 \cdot 6}

Next Step Evaluate

∴

a = 10.0798130624867m

LAST Step Rounding Answer

∴

a = 10.0798m

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

Variables

Constants

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 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

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

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

Other Formulas to find Semi Major Axis of Ellipse

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

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

Go Semi Major Axis of Ellipse

a = \frac{2a}{2}

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

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

Go Semi Major Axis of Ellipse given Latus Rectum and Semi Minor Axis

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

Other formulas in Major Axis of Ellipse category

Go Major Axis of Ellipse

2a = 2 \cdot a

Go Major Axis of Ellipse given Area and Minor Axis

2a = \frac{4 \cdot A}{π \cdot 2b}

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

Semi Major Axis of Ellipse given Area and Semi Minor Axis evaluator uses Semi Major Axis of Ellipse = Area of Ellipse/(pi*Semi Minor Axis of Ellipse) to evaluate the Semi Major Axis of Ellipse, Semi Major Axis of Ellipse given Area and Semi Minor 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 area and semi-minor axis of the Ellipse. Semi Major Axis of Ellipse is denoted by a symbol.

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

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

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

The formula of Semi Major Axis of Ellipse given Area and Semi Minor Axis is expressed as Semi Major Axis of Ellipse = Area of Ellipse/(pi*Semi Minor Axis of Ellipse). Here is an example- 10.07981 = 190/(pi*6).

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

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

What are the other ways to Calculate Semi Major Axis of Ellipse?

Here are the different ways to Calculate Semi Major Axis of Ellipse-

Semi Major Axis of Ellipse=sqrt(Semi Minor Axis of Ellipse^2+Linear Eccentricity of Ellipse^2)
Semi Major Axis of Ellipse=Major Axis of Ellipse/2
Semi Major Axis of Ellipse=Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2)

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

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

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

Semi Major Axis of Ellipse given Area and Semi Minor Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Semi Major Axis of Ellipse given Area and Semi Minor Axis can be measured.

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

​GoSemi Major Axis of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

​GoSemi Major Axis of Ellipse Formula

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

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

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

Other Formulas to find Semi Major Axis of Ellipse

Other formulas in Major Axis of Ellipse category

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

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

Variable Name

GoSemi Major Axis of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

GoSemi Major Axis of Ellipse Formula