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Area of Elliptical Ring is the total quantity of plane enclosed between the outer and inner elliptical boundary edges of the Elliptical Ring. Check FAQs
ARing=π((aOuterbOuter)-(aInnerbInner))
ARing - Area of Elliptical Ring?aOuter - Outer Semi Major Axis of Elliptical Ring?bOuter - Outer Semi Minor Axis of Elliptical Ring?aInner - Inner Semi Major Axis of Elliptical Ring?bInner - Inner Semi Minor Axis of Elliptical Ring?π - Archimedes' constant?

Area of Elliptical Ring Example

With values
With units
Only example

Here is how the Area of Elliptical Ring equation looks like with Values.

Here is how the Area of Elliptical Ring equation looks like with Units.

Here is how the Area of Elliptical Ring equation looks like.

141.3717Edit=3.1416((10Edit8Edit)-(7Edit5Edit))
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Area of Elliptical Ring Solution

Follow our step by step solution on how to calculate Area of Elliptical Ring?

FIRST Step Consider the formula
ARing=π((aOuterbOuter)-(aInnerbInner))
Next Step Substitute values of Variables
ARing=π((10m8m)-(7m5m))
Next Step Substitute values of Constants
ARing=3.1416((10m8m)-(7m5m))
Next Step Prepare to Evaluate
ARing=3.1416((108)-(75))
Next Step Evaluate
ARing=141.371669411541
LAST Step Rounding Answer
ARing=141.3717

Area of Elliptical Ring Formula Elements

Variables
Constants
Area of Elliptical Ring
Area of Elliptical Ring is the total quantity of plane enclosed between the outer and inner elliptical boundary edges of the Elliptical Ring.
Symbol: ARing
Measurement: AreaUnit:
Note: Value should be greater than 0.
Outer Semi Major Axis of Elliptical Ring
Outer Semi Major Axis of Elliptical Ring is half of the length of the chord of the outer ellipse which passing through both foci of the outer ellipse of the Elliptical Ring.
Symbol: aOuter
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Outer Semi Minor Axis of Elliptical Ring
Outer Semi Minor Axis of Elliptical Ring is half of the longest chord of the outer ellipse which is perpendicular to the line joining the foci of the outer ellipse of the Elliptical Ring.
Symbol: bOuter
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Inner Semi Major Axis of Elliptical Ring
Inner Semi Major Axis of Elliptical Ring is half of the length of the chord of the inner ellipse which passing through both foci of the inner ellipse of the Elliptical Ring.
Symbol: aInner
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Inner Semi Minor Axis of Elliptical Ring
Inner Semi Minor Axis of Elliptical Ring is half of the longest chord of the inner ellipse which is perpendicular to the line joining the foci of the inner ellipse of the Elliptical Ring.
Symbol: bInner
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Area of Elliptical Ring

​Go Area of Elliptical Ring given Linear Eccentricities and Semi Minor Axes
ARing=π((bOuter2+cOuter2bOuter)-(bInner2+cInner2bInner))
​Go Area of Elliptical Ring given Width and Outer Semi Axes
ARing=π((aOuterbOuter)-((aOuter-wRing)(bOuter-wRing)))
​Go Area of Elliptical Ring given Linear Eccentricities and Semi Major Axes
ARing=π((aOuter2-cOuter2aOuter)-(aInner2-cInner2aInner))

How to Evaluate Area of Elliptical Ring?

Area of Elliptical Ring evaluator uses Area of Elliptical Ring = pi*((Outer Semi Major Axis of Elliptical Ring*Outer Semi Minor Axis of Elliptical Ring)-(Inner Semi Major Axis of Elliptical Ring*Inner Semi Minor Axis of Elliptical Ring)) to evaluate the Area of Elliptical Ring, Area of Elliptical Ring formula is defined as the total quantity of plane enclosed between the outer and inner elliptical boundary edges of the Elliptical Ring. Area of Elliptical Ring is denoted by ARing symbol.

How to evaluate Area of Elliptical Ring using this online evaluator? To use this online evaluator for Area of Elliptical Ring, enter Outer Semi Major Axis of Elliptical Ring (aOuter), Outer Semi Minor Axis of Elliptical Ring (bOuter), Inner Semi Major Axis of Elliptical Ring (aInner) & Inner Semi Minor Axis of Elliptical Ring (bInner) and hit the calculate button.

FAQs on Area of Elliptical Ring

What is the formula to find Area of Elliptical Ring?
The formula of Area of Elliptical Ring is expressed as Area of Elliptical Ring = pi*((Outer Semi Major Axis of Elliptical Ring*Outer Semi Minor Axis of Elliptical Ring)-(Inner Semi Major Axis of Elliptical Ring*Inner Semi Minor Axis of Elliptical Ring)). Here is an example- 141.3717 = pi*((10*8)-(7*5)).
How to calculate Area of Elliptical Ring?
With Outer Semi Major Axis of Elliptical Ring (aOuter), Outer Semi Minor Axis of Elliptical Ring (bOuter), Inner Semi Major Axis of Elliptical Ring (aInner) & Inner Semi Minor Axis of Elliptical Ring (bInner) we can find Area of Elliptical Ring using the formula - Area of Elliptical Ring = pi*((Outer Semi Major Axis of Elliptical Ring*Outer Semi Minor Axis of Elliptical Ring)-(Inner Semi Major Axis of Elliptical Ring*Inner Semi Minor Axis of Elliptical Ring)). This formula also uses Archimedes' constant .
What are the other ways to Calculate Area of Elliptical Ring?
Here are the different ways to Calculate Area of Elliptical Ring-
  • Area of Elliptical Ring=pi*((sqrt(Outer Semi Minor Axis of Elliptical Ring^2+Outer Linear Eccentricity of Elliptical Ring^2)*Outer Semi Minor Axis of Elliptical Ring)-(sqrt(Inner Semi Minor Axis of Elliptical Ring^2+Inner Linear Eccentricity of Elliptical Ring^2)*Inner Semi Minor Axis of Elliptical Ring))OpenImg
  • Area of Elliptical Ring=pi*((Outer Semi Major Axis of Elliptical Ring*Outer Semi Minor Axis of Elliptical Ring)-((Outer Semi Major Axis of Elliptical Ring-Ring Width of Elliptical Ring)*(Outer Semi Minor Axis of Elliptical Ring-Ring Width of Elliptical Ring)))OpenImg
  • Area of Elliptical Ring=pi*((sqrt(Outer Semi Major Axis of Elliptical Ring^2-Outer Linear Eccentricity of Elliptical Ring^2)*Outer Semi Major Axis of Elliptical Ring)-(sqrt(Inner Semi Major Axis of Elliptical Ring^2-Inner Linear Eccentricity of Elliptical Ring^2)*Inner Semi Major Axis of Elliptical Ring))OpenImg
Can the Area of Elliptical Ring be negative?
No, the Area of Elliptical Ring, measured in Area cannot be negative.
Which unit is used to measure Area of Elliptical Ring?
Area of Elliptical Ring is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Elliptical Ring can be measured.
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