Trigonometry
Polar → Cartesian
Convert polar (r, θ) to (x, y).
Formula
Formula
x = r cos θ, y = r sin θ
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| r | radius | real number (ℝ) | — | input |
| θ | angle (deg) | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenradius r = 5, angle θ (deg) = 53.13
Result
x
3.000007146
y
3.999994641
Example 2
Givenradius r = 1, angle θ (deg) = 90
Result
x
6.123233996e-17
y
1