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First Semi Axis of Ellipsoid given Surface Area Formula

GoFirst Semi Axis of Ellipsoid Formula

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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. Check FAQs

a = {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(b \cdot c)}^{1.6075}}{b^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}

a - First Semi Axis of Ellipsoid?SA - Surface Area of Ellipsoid?b - Second Semi Axis of Ellipsoid?c - Third Semi Axis of Ellipsoid?π - Archimedes' constant?

First Semi Axis of Ellipsoid given Surface Area Example

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Here is how the First Semi Axis of Ellipsoid given Surface Area equation looks like with Values.

Here is how the First Semi Axis of Ellipsoid given Surface Area equation looks like with Units.

Here is how the First Semi Axis of Ellipsoid given Surface Area equation looks like.

9.9376 = {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(7 \cdot 4)}^{1.6075}}{7^{1.6075} + 4^{1.6075}})}^{\frac{1}{1.6075}}

9.9376m = {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot 3.1416})}^{1.6075}) - {(7m \cdot 4m)}^{1.6075}}{{7m}^{1.6075} + {4m}^{1.6075}})}^{\frac{1}{1.6075}}

9.9376 = {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(7 \cdot 4)}^{1.6075}}{7^{1.6075} + 4^{1.6075}})}^{\frac{1}{1.6075}}

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First Semi Axis of Ellipsoid given Surface Area Solution

Follow our step by step solution on how to calculate First Semi Axis of Ellipsoid given Surface Area?

FIRST Step Consider the formula

a = {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(b \cdot c)}^{1.6075}}{b^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Substitute values of Variables

∴

a = {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot π})}^{1.6075}) - {(7m \cdot 4m)}^{1.6075}}{{7m}^{1.6075} + {4m}^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Substitute values of Constants

∴

a = {(\frac{(3 \cdot {(\frac{600m²}{4 \cdot 3.1416})}^{1.6075}) - {(7m \cdot 4m)}^{1.6075}}{{7m}^{1.6075} + {4m}^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Prepare to Evaluate

∴

a = {(\frac{(3 \cdot {(\frac{600}{4 \cdot 3.1416})}^{1.6075}) - {(7 \cdot 4)}^{1.6075}}{7^{1.6075} + 4^{1.6075}})}^{\frac{1}{1.6075}}

Next Step Evaluate

∴

a = 9.93757651242458m

LAST Step Rounding Answer

∴

a = 9.9376m

First Semi Axis of Ellipsoid given Surface Area Formula Elements

Variables

Constants

First Semi Axis of Ellipsoid

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.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Semi Axis of Ellipsoid

Surface Area of Ellipsoid

Surface Area of Ellipsoid is the amount or quantity of two dimensional space covered on the surface of Ellipsoid.

Symbol: SA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area of Ellipsoid

Second Semi Axis 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.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Second Semi Axis of Ellipsoid

Third Semi Axis of Ellipsoid

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.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Third Semi Axis of Ellipsoid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find First Semi Axis of Ellipsoid

Go First Semi Axis of Ellipsoid

a = \frac{3 \cdot V}{4 \cdot π \cdot b \cdot c}

Other formulas in Axis of Ellipsoid category

Go Second Semi Axis of Ellipsoid

b = \frac{3 \cdot V}{4 \cdot π \cdot a \cdot c}

Go Third Semi Axis of Ellipsoid

c = \frac{3 \cdot V}{4 \cdot π \cdot a \cdot b}

Go Third Semi Axis of Ellipsoid given Surface Area

c = {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot b)}^{1.6075}}{a^{1.6075} + b^{1.6075}})}^{\frac{1}{1.6075}}

Go Second Semi Axis of Ellipsoid given Surface Area

b = {(\frac{(3 \cdot {(\frac{SA}{4 \cdot π})}^{1.6075}) - {(a \cdot c)}^{1.6075}}{a^{1.6075} + c^{1.6075}})}^{\frac{1}{1.6075}}

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

First Semi Axis of Ellipsoid given Surface Area evaluator 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 evaluate 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 evaluate First Semi Axis of Ellipsoid given Surface Area using this online evaluator? To use this online evaluator 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.

FAQs on First Semi Axis of Ellipsoid given Surface Area

What is the formula to find First Semi Axis of Ellipsoid given Surface Area?

The formula of First Semi Axis of Ellipsoid given Surface Area is expressed as 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). Here is an example- 9.937577 = (((3*(600/(4*pi))^1.6075)-(7*4)^1.6075)/(7^1.6075+4^1.6075))^(1/1.6075).

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

With Surface Area of Ellipsoid (SA), Second Semi Axis of Ellipsoid (b) & Third Semi Axis of Ellipsoid (c) we can find First Semi Axis of Ellipsoid given Surface Area using the formula - 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). This formula also uses Archimedes' constant .

What are the other ways to Calculate First Semi Axis of Ellipsoid?

Here are the different ways to Calculate First Semi Axis of Ellipsoid-

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

Can the First Semi Axis of Ellipsoid given Surface Area be negative?

No, the First Semi Axis of Ellipsoid given Surface Area, measured in Length cannot be negative.

Which unit is used to measure First Semi Axis of Ellipsoid given Surface Area?

First Semi Axis of Ellipsoid given Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which First Semi Axis of Ellipsoid given Surface Area can be measured.

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First Semi Axis of Ellipsoid given Surface Area Formula

​GoFirst Semi Axis of Ellipsoid Formula

First Semi Axis of Ellipsoid given Surface Area Example

First Semi Axis of Ellipsoid given Surface Area Solution

First Semi Axis of Ellipsoid given Surface Area Formula Elements

Other Formulas to find First Semi Axis of Ellipsoid

Other formulas in Axis of Ellipsoid category

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

FAQs on First Semi Axis of Ellipsoid given Surface Area

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GoFirst Semi Axis of Ellipsoid Formula