The image above is a sphere. To calculate the area of a sphere, one essential parameter is needed and this parameter is the radius of the sphere (r). You can also use diameter of the sphere (d).
The formula for calculating the area of a sphere:
A = 4πr²
Where;
AÂ = Area of the sphere
r = Radius of the sphere
Let’s solve an example:
Find the area of a sphere when the radius of the sphere is 6 cm.
This implies that;
r = Radius of the sphere = 6 cm
A = 4πr²
A = 4 x 3.142 x 6²
So, A = 4 x 3.142 x 36
A = 452.4
Therefore, the area of the sphere is 452.4 cm2.
Calculating the Area of a sphere using Diameter of the sphere.
A = πd2
Where;
AÂ = Area of the sphere
d = Diameter of the sphere
Let’s solve an example:
Find the area of a sphere when the diameter of the sphere is 8 cm.
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This implies that;
d = Diameter of the sphere = 8 cm
A = πd2
A = 3.142 x 82
Then, A = 3.142 x 64
A = 201.08
Therefore, the area of the sphere is 201.08 cm2.
Calculating the Radius of a sphere using Area of the sphere.
r = √(A / 4π)
Where;
AÂ = Area of the sphere
r = Radius of the sphere
Let’s solve an example:
Find the radius of a sphere when the area of the sphere is 22 cm2.
This implies that;
A = Area of the sphere = 22 cm2
r = √(A / 4π)
r = √(22 / 4 x 3.142)
Which means, r = √(22 / 12.57)
r = √1.75
r = 1.32
Therefore, the radius of the sphere is 1.32 cm.
Read more:Â How to Square Yards to Acres | Area Units
Calculating the Diameter of a sphere using Area of the sphere.
d = √(A / π)
Where;
AÂ = Area of the sphere
d = Diameter of the sphere
Let’s solve an example:
Find the diameter of a sphere when the area of the sphere is 28 cm2.
This implies that;
A = Area of the sphere = 28 cm2
d = √(A / π)
d = √(28 / 3.142)
So, d = √8.912
d = 2.99
Therefore, the diameter of the sphere is 2.99 cm.
How to Calculate and Solve for the Area of a Sphere Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the area of a sphere.
To get the answer and workings of the area of a sphere using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
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
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
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 a Sphere under Mensuration
The screenshot below displays the page or activity to enter your value, to get the answer for the area of a sphere according to the respective parameter which is the radius of the sphere (r).
Now, enter the value appropriately and accordingly for the parameter as required by the example above where the radius of the sphere is 6 cm.
Finally, click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the area of a sphere and presents the formula, workings and steps too.
