Major Axis of Ellipse given Area and Minor Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse)
2a = (4*A)/(pi*2b)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Area of Ellipse - (Measured in Square Meter) - Area of Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse.
Minor Axis of Ellipse - (Measured in Meter) - Minor Axis of Ellipse is the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse.
STEP 1: Convert Input(s) to Base Unit
Area of Ellipse: 190 Square Meter --> 190 Square Meter No Conversion Required
Minor Axis of Ellipse: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
2a = (4*A)/(pi*2b) --> (4*190)/(pi*12)
Evaluating ... ...
2a = 20.1596261249734
STEP 3: Convert Result to Output's Unit
20.1596261249734 Meter --> No Conversion Required
FINAL ANSWER
20.1596261249734 20.15963 Meter <-- Major Axis of Ellipse
(Calculation completed in 00.004 seconds)

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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

Major Axis of Ellipse given Area and Minor Axis Formula

Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse)
2a = (4*A)/(pi*2b)

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 Major Axis of Ellipse given Area and Minor Axis?

Major Axis of Ellipse given Area and Minor Axis calculator uses Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse) to calculate the Major Axis of Ellipse, Major Axis of Ellipse given Area and Minor Axis formula is defined as the length of the chord which passing through both foci of the Ellipse and calculated using the area and minor axis of the Ellipse. Major Axis of Ellipse is denoted by 2a symbol.

How to calculate Major Axis of Ellipse given Area and Minor Axis using this online calculator? To use this online calculator for Major Axis of Ellipse given Area and Minor Axis, enter Area of Ellipse (A) & Minor Axis of Ellipse (2b) and hit the calculate button. Here is how the Major Axis of Ellipse given Area and Minor Axis calculation can be explained with given input values -> 20.15963 = (4*190)/(pi*12).

FAQ

What is Major Axis of Ellipse given Area and Minor Axis?
Major Axis of Ellipse given Area and Minor Axis formula is defined as the length of the chord which passing through both foci of the Ellipse and calculated using the area and minor axis of the Ellipse and is represented as 2a = (4*A)/(pi*2b) or Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse). Area of Ellipse is the total quantity of plane enclosed by the boundary of the Ellipse & Minor Axis of Ellipse is the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse.
How to calculate Major Axis of Ellipse given Area and Minor Axis?
Major Axis of Ellipse given Area and Minor Axis formula is defined as the length of the chord which passing through both foci of the Ellipse and calculated using the area and minor axis of the Ellipse is calculated using Major Axis of Ellipse = (4*Area of Ellipse)/(pi*Minor Axis of Ellipse). To calculate Major Axis of Ellipse given Area and Minor Axis, you need Area of Ellipse (A) & Minor Axis of Ellipse (2b). With our tool, you need to enter the respective value for Area of Ellipse & Minor 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 Major Axis of Ellipse?
In this formula, Major Axis of Ellipse uses Area of Ellipse & Minor Axis of Ellipse. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Major Axis of Ellipse = 2*Semi Major Axis of Ellipse
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