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

✖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.ⓘ Semi Minor Axis of Ellipse [b]			+10% -10%
✖Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.ⓘ Eccentricity of Ellipse [e]			+10% -10%

✖Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.ⓘ Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis [a]

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

STEP 0: Pre-Calculation Summary

Formula Used

Semi Major Axis of Ellipse = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2)
a = b/sqrt(1-e^2)
This formula uses 1 Functions, 3 Variables

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

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.
Semi Minor Axis of Ellipse - (Measured in Meter) - 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.
Eccentricity of Ellipse - (Measured in Meter) - Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.

STEP 1: Convert Input(s) to Base Unit

Semi Minor Axis of Ellipse: 6 Meter --> 6 Meter No Conversion Required
Eccentricity of Ellipse: 0.8 Meter --> 0.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = b/sqrt(1-e^2) --> 6/sqrt(1-0.8^2)

Evaluating ... ...

a = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Semi Major Axis of Ellipse

(Calculation completed in 00.004 seconds)

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< Major Axis of Ellipse Calculators

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

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

Semi Major Axis of Ellipse given Area and Semi Minor Axis

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

Major Axis of Ellipse given Area and Minor Axis

LaTeX Go Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse)

Major Axis of Ellipse

LaTeX Go Major Axis of Ellipse = 2*Semi Major Axis of Ellipse

< Major Axis of Ellipse Calculators

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

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

Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis

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

Semi Major Axis of Ellipse given Eccentricity and Linear Eccentricity

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

Major Axis of Ellipse

LaTeX Go Major Axis of Ellipse = 2*Semi Major Axis of Ellipse

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

LaTeX Go

Semi Major Axis of Ellipse = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2)
a = b/sqrt(1-e^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 Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis?

Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis calculator uses Semi Major Axis of Ellipse = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2) to calculate the Semi Major Axis of Ellipse, The Semi Major Axis of Ellipse given Eccentricity 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 eccentricity and semi-minor axis of the Ellipse. Semi Major Axis of Ellipse is denoted by a symbol.

How to calculate Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis using this online calculator? To use this online calculator for Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis, enter Semi Minor Axis of Ellipse (b) & Eccentricity of Ellipse (e) and hit the calculate button. Here is how the Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis calculation can be explained with given input values -> 10 = 6/sqrt(1-0.8^2).

FAQ

What is Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis?

The Semi Major Axis of Ellipse given Eccentricity 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 eccentricity and semi-minor axis of the Ellipse and is represented as a = b/sqrt(1-e^2) or Semi Major Axis of Ellipse = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2). 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 & Eccentricity of Ellipse is the ratio of the linear eccentricity to the semi major axis of the Ellipse.

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

The Semi Major Axis of Ellipse given Eccentricity 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 eccentricity and semi-minor axis of the Ellipse is calculated using Semi Major Axis of Ellipse = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2). To calculate Semi Major Axis of Ellipse given Eccentricity and Semi Minor Axis, you need Semi Minor Axis of Ellipse (b) & Eccentricity of Ellipse (e). With our tool, you need to enter the respective value for Semi Minor Axis of Ellipse & Eccentricity 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 Semi Major Axis of Ellipse?

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

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

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