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# How to Convert Cartesian to Cylindrical | Coordinate Units

Last Updated on March 19, 2023

The image below represents cartesian to cylindrical.

To convert cartesian to cylindrical, three essential parameters are needed and these parameters are the Value of x, the Value of y, and the Value of z.

The formula for converting cartesian to cylindrical (ρ, φ, z):

ρ = √(x² + y²)

φ = tan-1(y / x)

z = z

Let’s solve an example;
Find the conversion of cartesian to cylindrical when the value of x is 2, the value of y is 4 and the value of z is 8.

This implies that;

Value of x = 2
Value of y = 4
Value of z = 8

Finding ρ:

ρ = √(2² + 4²)
ρ = √(4 + 16)
ρ = √(20)

Therefore, ρ is 4.47.

Finding φ:

φ = tan-1(4 / 2)
φ = tan-1(2)
φ = 63.43494882292201°

Therefore, φ is 63.43°.

Finding z:

z = 8

Therefore, the cylindrical coordinates of the Cartesian coordinates (2, 4, 8) is (4.47, 63.43°, 8).

Nickzom Calculator – The Calculator Encyclopedia is capable of converting cartesian to cylindrical.

To get the answer and workings of cartesian to cylindrical using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

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 Coordinate Units under Switches.

Now, Click on Cartesian to Cylindrical under Coordinate Units

The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of cartesian to cylindrical according to the respective parameters which are the Value of x, Value of y and Value of z.

Now, enter the values appropriately and accordingly for the parameters as required by the Value of x is 2, Value of y is 4 and Value of z is 8.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves the conversion of cartesian to cylindrical and presents the formula, workings, and steps too.