Linear Eccentricity of Ellipse given Area and Semi Major Axis Calculator

✖Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.ⓘ Semi Major Axis of Ellipse [a]			+10% -10%
✖Area of Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse.ⓘ Area of Ellipse [A]			+10% -10%

✖Linear Eccentricity of Ellipse is the distance from center to any of the foci of the Ellipse.ⓘ Linear Eccentricity of Ellipse given Area and Semi Major Axis [c]

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Linear Eccentricity of Ellipse given Area and Semi Major Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-(Area of Ellipse/(pi*Semi Major Axis of Ellipse))^2)
c = sqrt(a^2-(A/(pi*a))^2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Linear Eccentricity of Ellipse - (Measured in Meter) - Linear Eccentricity of Ellipse is the distance from center to any of the foci of the Ellipse.
Semi Major Axis of Ellipse - (Measured in Meter) - Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.
Area of Ellipse - (Measured in Square Meter) - Area of Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse.

STEP 1: Convert Input(s) to Base Unit

Semi Major Axis of Ellipse: 10 Meter --> 10 Meter No Conversion Required
Area of Ellipse: 190 Square Meter --> 190 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = sqrt(a^2-(A/(pi*a))^2) --> sqrt(10^2-(190/(pi*10))^2)

Evaluating ... ...

c = 7.9638591590457

STEP 3: Convert Result to Output's Unit

7.9638591590457 Meter --> No Conversion Required

FINAL ANSWER

7.9638591590457 ≈ 7.963859 Meter <-- Linear Eccentricity of Ellipse

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Linear Eccentricity of Ellipse Calculators

Linear Eccentricity of Ellipse given Area and Semi Major Axis

LaTeX Go Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-(Area of Ellipse/(pi*Semi Major Axis of Ellipse))^2)

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

LaTeX Go Linear Eccentricity of Ellipse = Eccentricity of Ellipse*(Area of Ellipse/(pi*Semi Minor Axis of Ellipse))

Linear Eccentricity of Ellipse

LaTeX Go Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-Semi Minor Axis of Ellipse^2)

Linear Eccentricity of Ellipse given Eccentricity and Semi Major Axis

LaTeX Go Linear Eccentricity of Ellipse = Eccentricity of Ellipse*Semi Major Axis of Ellipse

Linear Eccentricity of Ellipse given Area and Semi Major Axis Formula

LaTeX Go

Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-(Area of Ellipse/(pi*Semi Major Axis of Ellipse))^2)
c = sqrt(a^2-(A/(pi*a))^2)

What is an Ellipse?

An Ellipse is basically a conic section. If we cut a right circular cone using a plane at an angle greater than the semi angle of cone. Geometrically an Ellipse is the collection of all points in a plane such that the sum of the distances to them from two fixed points is a constant. Those fixed points are the foci of the Ellipse. The largest chord of the Ellipse is the major axis and the chord which passing through the center and perpendicular to the major axis is the minor axis of the ellipse. Circle is a special case of Ellipse in which both foci coincide at the center and so both major and minor axes become equal in length which is called the diameter of the circle.

How to Calculate Linear Eccentricity of Ellipse given Area and Semi Major Axis?

Linear Eccentricity of Ellipse given Area and Semi Major Axis calculator uses Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-(Area of Ellipse/(pi*Semi Major Axis of Ellipse))^2) to calculate the Linear Eccentricity of Ellipse, The Linear Eccentricity of Ellipse given Area and Semi Major Axis formula is defined as the distance from the center to any of the foci of the Ellipse and calculated using the area and semi-major axis of the Ellipse. Linear Eccentricity of Ellipse is denoted by c symbol.

How to calculate Linear Eccentricity of Ellipse given Area and Semi Major Axis using this online calculator? To use this online calculator for Linear Eccentricity of Ellipse given Area and Semi Major Axis, enter Semi Major Axis of Ellipse (a) & Area of Ellipse (A) and hit the calculate button. Here is how the Linear Eccentricity of Ellipse given Area and Semi Major Axis calculation can be explained with given input values -> 7.963859 = sqrt(10^2-(190/(pi*10))^2).

FAQ

What is Linear Eccentricity of Ellipse given Area and Semi Major Axis?

The Linear Eccentricity of Ellipse given Area and Semi Major Axis formula is defined as the distance from the center to any of the foci of the Ellipse and calculated using the area and semi-major axis of the Ellipse and is represented as c = sqrt(a^2-(A/(pi*a))^2) or Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-(Area of Ellipse/(pi*Semi Major Axis of Ellipse))^2). Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse & Area of Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse.

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

The Linear Eccentricity of Ellipse given Area and Semi Major Axis formula is defined as the distance from the center to any of the foci of the Ellipse and calculated using the area and semi-major axis of the Ellipse is calculated using Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-(Area of Ellipse/(pi*Semi Major Axis of Ellipse))^2). To calculate Linear Eccentricity of Ellipse given Area and Semi Major Axis, you need Semi Major Axis of Ellipse (a) & Area of Ellipse (A). With our tool, you need to enter the respective value for Semi Major Axis of Ellipse & Area of Ellipse 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 Linear Eccentricity of Ellipse?

In this formula, Linear Eccentricity of Ellipse uses Semi Major Axis of Ellipse & Area of Ellipse. We can use 3 other way(s) to calculate the same, which is/are as follows -

Linear Eccentricity of Ellipse = sqrt(Semi Major Axis of Ellipse^2-Semi Minor Axis of Ellipse^2)
Linear Eccentricity of Ellipse = Eccentricity of Ellipse*(Area of Ellipse/(pi*Semi Minor Axis of Ellipse))
Linear Eccentricity of Ellipse = Eccentricity of Ellipse*Semi Major Axis of Ellipse

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