# How to input complex number in polar coordinate?

**URL:** https://discourse.julialang.org/t/how-to-input-complex-number-in-polar-coordinate/71502
**Category:** General Usage
**Tags:** question, complex-numbers
**Created:** [November 15, 2021, 2:56pm UTC](https://discourse.julialang.org/t/how-to-input-complex-number-in-polar-coordinate/71502 "2021-11-15T14:56:20Z")
**Posts on this page:** 3
**Page:** 1

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### Author: ![Amro](https://avatars.discourse-cdn.com/v4/letter/a/4491bb/32.png) [@Amro](https://discourse.julialang.org/u/Amro)
#### Post date: [November 15, 2021, 2:56pm UTC](https://discourse.julialang.org/t/how-to-input-complex-number-in-polar-coordinate/71502/1 "2021-11-15T14:56:20Z")

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I have a complex number 25∠10. How can I input it such as polar(magnitude, angle)?  
what are the functions to convert (from degree to rad) and (rad to degree)?

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<div class="post-metadata">

### Author: ![stevengj](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/stevengj/32/71_2.png) [@stevengj](https://discourse.julialang.org/u/stevengj)
#### Post date: [November 15, 2021, 3:03pm UTC](https://discourse.julialang.org/t/how-to-input-complex-number-in-polar-coordinate/71502/2 "2021-11-15T15:03:24Z")

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```julia
julia> 25 * cis(deg2rad(10))
24.6201938253052 + 4.341204441673258im

```

using [`cis`](https://docs.julialang.org/en/v1/base/math/#Base.cis) and [`deg2rad`](https://docs.julialang.org/en/v1/base/math/#Base.Math.deg2rad) (see also [`rad2deg`](https://docs.julialang.org/en/v1/base/math/#Base.Math.rad2deg)).

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<div class="post-metadata">

### Author: ![rafael.guerra](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/rafael.guerra/32/216610_2.png) [@rafael.guerra](https://discourse.julialang.org/u/rafael.guerra)
#### Post date: [November 15, 2021, 3:27pm UTC](https://discourse.julialang.org/t/how-to-input-complex-number-in-polar-coordinate/71502/3 "2021-11-15T15:27:24Z")

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Linking [this nice solution](https://github.com/JuliaLang/julia/issues/35576#issuecomment-624994263) by @stevengj too.