First Semi Axis of Ellipsoid given Surface Area Calculator

✖Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.ⓘ Surface Area of Ellipsoid [SA]			+10% -10%
✖Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface.ⓘ Second Semi Axis of Ellipsoid [b]			+10% -10%
✖Third Semi Axis of Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface.ⓘ Third Semi Axis of Ellipsoid [c]			+10% -10%

✖First Semi Axis of Ellipsoid is the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface.ⓘ First Semi Axis of Ellipsoid given Surface Area [a]

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First Semi Axis of Ellipsoid given Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

First Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(Second Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075)
a = (((3*(SA/(4*pi))^1.6075)-(b*c)^1.6075)/(b^1.6075+c^1.6075))^(1/1.6075)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

First Semi Axis of Ellipsoid - (Measured in Meter) - First Semi Axis of Ellipsoid is the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface.
Surface Area of Ellipsoid - (Measured in Square Meter) - Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.
Second Semi Axis of Ellipsoid - (Measured in Meter) - Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface.
Third Semi Axis of Ellipsoid - (Measured in Meter) - Third Semi Axis of Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface.

STEP 1: Convert Input(s) to Base Unit

Surface Area of Ellipsoid: 600 Square Meter --> 600 Square Meter No Conversion Required
Second Semi Axis of Ellipsoid: 7 Meter --> 7 Meter No Conversion Required
Third Semi Axis of Ellipsoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (((3*(SA/(4*pi))^1.6075)-(b*c)^1.6075)/(b^1.6075+c^1.6075))^(1/1.6075) --> (((3*(600/(4*pi))^1.6075)-(7*4)^1.6075)/(7^1.6075+4^1.6075))^(1/1.6075)

Evaluating ... ...

a = 9.93757651242458

STEP 3: Convert Result to Output's Unit

9.93757651242458 Meter --> No Conversion Required

FINAL ANSWER

9.93757651242458 ≈ 9.937577 Meter <-- First Semi Axis of Ellipsoid

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Axis of Ellipsoid Calculators

Third Semi Axis of Ellipsoid given Surface Area

LaTeX Go Third Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)^1.6075)/(First Semi Axis of Ellipsoid^1.6075+Second Semi Axis of Ellipsoid^1.6075))^(1/1.6075)

Second Semi Axis of Ellipsoid

LaTeX Go Second Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

First Semi Axis of Ellipsoid

LaTeX Go First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

Third Semi Axis of Ellipsoid

LaTeX Go Third Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*First Semi Axis of Ellipsoid*Second Semi Axis of Ellipsoid)

First Semi Axis of Ellipsoid given Surface Area Formula

LaTeX Go

What is Ellipsoid?

An Ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An Ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables.

How to Calculate First Semi Axis of Ellipsoid given Surface Area?

First Semi Axis of Ellipsoid given Surface Area calculator uses First Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(Second Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075) to calculate the First Semi Axis of Ellipsoid, The First Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid. First Semi Axis of Ellipsoid is denoted by a symbol.

How to calculate First Semi Axis of Ellipsoid given Surface Area using this online calculator? To use this online calculator for First Semi Axis of Ellipsoid given Surface Area, enter Surface Area of Ellipsoid (SA), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c) and hit the calculate button. Here is how the First Semi Axis of Ellipsoid given Surface Area calculation can be explained with given input values -> 9.937577 = (((3*(600/(4*pi))^1.6075)-(7*4)^1.6075)/(7^1.6075+4^1.6075))^(1/1.6075).

FAQ

What is First Semi Axis of Ellipsoid given Surface Area?

The First Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid and is represented as a = (((3*(SA/(4*pi))^1.6075)-(b*c)^1.6075)/(b^1.6075+c^1.6075))^(1/1.6075) or First Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(Second Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075). Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid, Second Semi Axis of Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the Ellipsoid to its surface & Third Semi Axis of Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the Ellipsoid to its surface.

How to calculate First Semi Axis of Ellipsoid given Surface Area?

The First Semi Axis of Ellipsoid given Surface Area formula is defined as the length of the segment of first cartesian coordinate axis from the center of the Ellipsoid to its surface, calculated using surface area of Ellipsoid is calculated using First Semi Axis of Ellipsoid = (((3*(Surface Area of Ellipsoid/(4*pi))^1.6075)-(Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)^1.6075)/(Second Semi Axis of Ellipsoid^1.6075+Third Semi Axis of Ellipsoid^1.6075))^(1/1.6075). To calculate First Semi Axis of Ellipsoid given Surface Area, you need Surface Area of Ellipsoid (SA), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c). With our tool, you need to enter the respective value for Surface Area of Ellipsoid, Second Semi Axis of Ellipsoid & Third Semi Axis of Ellipsoid 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 First Semi Axis of Ellipsoid?

In this formula, First Semi Axis of Ellipsoid uses Surface Area of Ellipsoid, Second Semi Axis of Ellipsoid & Third Semi Axis of Ellipsoid. We can use 1 other way(s) to calculate the same, which is/are as follows -

First Semi Axis of Ellipsoid = (3*Volume of Ellipsoid)/(4*pi*Second Semi Axis of Ellipsoid*Third Semi Axis of Ellipsoid)

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