Semi Major Axis of Ellipse Solution

STEP 0: Pre-Calculation Summary
Formula Used
Semi Major Axis of Ellipse = Major Axis of Ellipse/2
a = 2a/2
This formula uses 2 Variables
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.
Major Axis of Ellipse - (Measured in Meter) - Major Axis of Ellipse is the length of the chord which passing through both foci of the Ellipse.
STEP 1: Convert Input(s) to Base Unit
Major Axis of Ellipse: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = 2a/2 --> 20/2
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)

Credits

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Softusvista Office (Pune), India
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Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
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10+ Major Axis of Ellipse Calculators

Semi Major Axis of Ellipse given Area and Eccentricity
Go Semi Major Axis of Ellipse = sqrt(Area of Ellipse/(pi*sqrt(1-Eccentricity of Ellipse^2)))
Semi Major Axis of Ellipse given Linear Eccentricity and Semi Minor Axis
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
Go Semi Major Axis of Ellipse = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2)
Semi Major Axis of Ellipse given Area and Semi Minor Axis
Go Semi Major Axis of Ellipse = Area of Ellipse/(pi*Semi Minor Axis of Ellipse)
Major Axis of Ellipse given Area and Minor Axis
Go Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse)
Semi Major Axis of Ellipse given Latus Rectum and Semi Minor Axis
Go Semi Major Axis of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Latus Rectum of Ellipse)
Semi Major Axis of Ellipse given Latus Rectum and Eccentricity
Go Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2))
Semi Major Axis of Ellipse given Eccentricity and Linear Eccentricity
Go Semi Major Axis of Ellipse = Linear Eccentricity of Ellipse/Eccentricity of Ellipse
Semi Major Axis of Ellipse
Go Semi Major Axis of Ellipse = Major Axis of Ellipse/2
Major Axis of Ellipse
Go Major Axis of Ellipse = 2*Semi Major Axis of Ellipse

Semi Major Axis of Ellipse Formula

Semi Major Axis of Ellipse = Major Axis of Ellipse/2
a = 2a/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?

Semi Major Axis of Ellipse calculator uses Semi Major Axis of Ellipse = Major Axis of Ellipse/2 to calculate the Semi Major Axis of Ellipse, Semi Major Axis of Ellipse formula is defined as half of the length of the chord which passes through both foci of the Ellipse. Semi Major Axis of Ellipse is denoted by a symbol.

How to calculate Semi Major Axis of Ellipse using this online calculator? To use this online calculator for Semi Major Axis of Ellipse, enter Major Axis of Ellipse (2a) and hit the calculate button. Here is how the Semi Major Axis of Ellipse calculation can be explained with given input values -> 10 = 20/2.

FAQ

What is Semi Major Axis of Ellipse?
Semi Major Axis of Ellipse formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is represented as a = 2a/2 or Semi Major Axis of Ellipse = Major Axis of Ellipse/2. Major Axis of Ellipse is the length of the chord which passing through both foci of the Ellipse.
How to calculate Semi Major Axis of Ellipse?
Semi Major Axis of Ellipse formula is defined as half of the length of the chord which passes through both foci of the Ellipse is calculated using Semi Major Axis of Ellipse = Major Axis of Ellipse/2. To calculate Semi Major Axis of Ellipse, you need Major Axis of Ellipse (2a). With our tool, you need to enter the respective value for Major Axis 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 Major Axis of Ellipse. We can use 7 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 = Semi Minor Axis of Ellipse/sqrt(1-Eccentricity of Ellipse^2)
  • Semi Major Axis of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Latus Rectum of Ellipse)
  • Semi Major Axis of Ellipse = Linear Eccentricity of Ellipse/Eccentricity of Ellipse
  • Semi Major Axis of Ellipse = sqrt(Area of Ellipse/(pi*sqrt(1-Eccentricity of Ellipse^2)))
  • Semi Major Axis of Ellipse = Latus Rectum of Ellipse/(2*(1-Eccentricity of Ellipse^2))
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