The image above is an ellipsoid.
To compute the area of an ellipsoid, three essential parameters are needed and these parameters are axis (a), axis (b) and axis (c).
The formula for calculating the area of an ellipsoid:
A = 4π((ab)1.6 + (ac)1.6 + (bc)1.6⁄3)1 / 1.6
Where;
A = Area of the ellipsoid
a = Axis of the ellipsoid
b = Axis of the ellipsoid
c = Axis of the ellipsoid
Let’s solve an example;
Find the the area of an ellipsoid when the axis (a) of the ellipsoid is 12 cm, axis (b) of the ellipsoid is 6 cm and axis (c) of the ellipsoid is 2 cm.
This implies that;
a = Axis of the ellipsoid = 12 cm
b = Axis of the ellipsoid = 6 cm
c = Axis of the ellipsoid = 2 cm
A = 4π((ab)1.6 + (ac)1.6 + (bc)1.6⁄3)1 / 1.6
A = 4π(((12)(6))1.6 + ((12)(2))1.6 + ((6)(2))1.6⁄3)1 / 1.6
That is, A = 4π(((72)1.6 + (24)1.6 + (12)1.6)⁄3)1 / 1.6
A = 4π(((936.98) + (161.56) + (53.29))⁄3)1 / 1.6
A = 4π((1151.84)⁄3)1 / 1.6
Then, A = 4π(383.946)1 / 1.6
A = 4π(383.946)0.625
A = 4π(41.2258)
So, A = (12.566)(41.2258)
A = 518.059
Therefore, the area of the ellipsoid is 518.059 cm2.
Read more: How to Calculate and Solve for the Axis and Volume of an Ellipsoid | The Calculator Encyclopedia
How to Calculate the Area of an Ellipsoid Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the area of an ellipsoid.
To get the answer and workings of the area of an ellipsoid using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
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Web – https://www.nickzom.org/calculator-plus
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You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
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Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Mensuration under the Mathematics section
Now, click on Area of an Ellipsoid under Mensuration
The screenshot below displays the page or activity to enter your values, to get the answer for the area of an ellipsoid according to the respective parameters which are the axis (a), axis (b) and axis (c) of the ellipsoid.
Now, enter the values appropriately and accordingly for the parameters as required by the example above where the axis (a) is 12 cm, axis (b) is 6 cm, and axis (c) is 2 cm.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the volume of the ellipsoid and presents the formula, workings and steps too.
