Polar to Cartesian coordinates
Enter the radius r and the angle θ and get the Cartesian coordinates x and y, with the working.
Fill in the fields; the answer appears here straight away.
How it's worked out
How it works
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Enter the values
Type the numbers or the formula. Decimals may use a point or a comma. No idea? Click Fill in an example.
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Instant answer
The answer appears as you type, with the most important intermediate values.
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See the working
Under "How it's worked out" you see the steps, handy for checking your own calculation.
The formulas
- x = r · cos(θ)
- y = r · sin(θ)
For r = 5 and θ = 53.13°: x ≈ 3 and y ≈ 4. The angle may be in degrees or radians; choose the unit above the fields.
The other way round is the Cartesian to polar converter.
Frequently asked questions
Is the polar to Cartesian free?
Yes. The polar to Cartesian is completely free, with no account, sign-up or usage limit.
How accurate is the result?
The tool calculates with your browser's number precision. For important calculations, always double-check what you entered.
Does it work on my phone?
Yes. The tool works in any modern browser on a phone, tablet or computer.