The calculator will convert the polar coordinates to rectangular (Cartesian) and vice versa, with steps shown.
Related calculator:
Polar/Rectangular Equation Calculator
Solution
We have that ρ=x2+y2=12+(3)2=2.
Next, θ=atan(xy)=atan(13)=3π.
It is also possible that ρ is negative. In this case, add/subtract π from the found θ: θ=3π+π=34π.
NOTE: all found angles are in the interval [0,2π). If you need angles in another interval, add/subtract 2π the required number of times.
For example, 3π in the interval [2π,4π) is 3π+2π=37π.
Answer
(ρ,θ)=(2,3π)≈(2,1.047197551196598)A
(ρ,θ)=(−2,34π)≈(−2,4.188790204786391)A