Unit Conversions

How to Convert Polar to Cartesian | Coordinate Units

Last Updated on March 20, 2023

The image below represents polar to cartesian.

To convert polar to cartesian, three essential parameters are needed and these parameters are the Value of r and Value of θ.

The formula for converting polar to cartesian (x, y):

x = rcosθ

y = rsinθ

Let’s solve an example;
Find the conversion of polar to cartesian when the value of r is 4 and value of θ is 8.

This implies that;

Value of r = 4
Value of θ = 8

Finding x:

x = 4 x cos(8°)
x = 4 x 0.99
x = 3.96

Therefore, is 3.96.

Finding y:

y = 4 x sin(8°)
y = 4 x 0.139
y = 0.55

Therefore, y is 0.55.

Therefore, the Cartesian coordinates of the polar coordinates (4∠8°) is (3.96, 0.55).

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

To get the answer and workings of polar to cartesian 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 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 Coordinate Units under Switches.

Now, Click on Polar to Cartesian under Coordinate Units

The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of polar to cartesian according to the respective parameters which are the Value of r and Value of θ.

Now, enter the values appropriately and accordingly for the parameters as required by the Value of r is 4 and Value of θ is 8.

Finally, Click on Calculate


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

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