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Polar to Rectangular Calculator

decimal

Result

Calculated result 0.0070560004 Based on the values entered.
↗ Math

Polar to Rectangular Conversion Convert polar coordinates (r, θ) to rectangular (x, y). Formulas: x = r·cos(θ), y = r·sin(θ). Same as Cartesian; used interchangeably. — free online calculator.

Formula

x = r·cos(θ), y = r·sin(θ)
  • Polar to Rectangular Calculator calculates its result from Rate (decimal), Angle θ. It uses the formula x = r·cos(θ), y = r·sin(θ). Change any input to recalculate the result instantly.
  • The main inputs are Rate, Angle θ. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Polar to Rectangular

Inputs
  • Rate: 0.05 decimal
  • Angle θ: 3

Using Rate (decimal) = 0.05, Angle θ = 3, the calculated result is 0.0070560004.

Sample result: Calculating…

Frequently asked questions

What does the Polar to Rectangular calculate?

Polar to Rectangular Conversion Convert polar coordinates (r, θ) to rectangular (x, y). Formulas: x = r·cos(θ), y = r·sin(θ). Same as Cartesian; used interchangeably. — free online calculator.

Which values should I enter?

Enter Rate, Angle θ using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: x = r·cos(θ), y = r·sin(θ).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026