Difference between revisions of "Talk:2748: Radians Are Cursed"
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As suggested by the above Wikipedia link, square degrees are in fact often used in astronomical contexts. Also, it's quite standard to say that radian=1; see for example [https://en.wikipedia.org/wiki/SI_derived_unit SI derived unit]. An angle is the ratio between the arc length and the radius, and we just optionally append "radian" for clarity. So 1 = 57.3 degrees is correct; Randall simply used the wrong argument to obtain it. [[User:Aseyhe|Aseyhe]] ([[User talk:Aseyhe|talk]]) 20:57, 10 March 2023 (UTC) | As suggested by the above Wikipedia link, square degrees are in fact often used in astronomical contexts. Also, it's quite standard to say that radian=1; see for example [https://en.wikipedia.org/wiki/SI_derived_unit SI derived unit]. An angle is the ratio between the arc length and the radius, and we just optionally append "radian" for clarity. So 1 = 57.3 degrees is correct; Randall simply used the wrong argument to obtain it. [[User:Aseyhe|Aseyhe]] ([[User talk:Aseyhe|talk]]) 20:57, 10 March 2023 (UTC) | ||
:I always understood radian to be the name of the unit, so by definition 1 radian=1. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 21:17, 10 March 2023 (UTC) | :I always understood radian to be the name of the unit, so by definition 1 radian=1. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 21:17, 10 March 2023 (UTC) | ||
+ | :It is a shame that astronomers don't use the proper unit for such things: the steradian. It is literally there for describing the 3D equivalent of angle. Oh well... --[[Special:Contributions/172.69.79.137|172.69.79.137]] 04:16, 11 March 2023 (UTC) | ||
Someone fix the vandalism, how do you upload images? --[[User:Purah126|Purah126]] ([[User talk:Purah126|talk]]) 03:06, 11 March 2023 (UTC) | Someone fix the vandalism, how do you upload images? --[[User:Purah126|Purah126]] ([[User talk:Purah126|talk]]) 03:06, 11 March 2023 (UTC) |
Revision as of 04:16, 11 March 2023
how do transcript 172.70.127.37 19:23, 10 March 2023 (UTC)
https://en.wikipedia.org/wiki/Square_degree may be of some help with this one. 162.158.166.124 19:44, 10 March 2023 (UTC)
The comic isn't actually correct. A radian is not equal to the length of a circle's radius; it is equal to the length of the radius, multiplied by 2π, divided by the perimeter, which is why it has no units, while the length does. In other words, radian/2pi=length of radius/length of perimeter. 172.70.46.84 19:51, 10 March 2023 (UTC)
As suggested by the above Wikipedia link, square degrees are in fact often used in astronomical contexts. Also, it's quite standard to say that radian=1; see for example SI derived unit. An angle is the ratio between the arc length and the radius, and we just optionally append "radian" for clarity. So 1 = 57.3 degrees is correct; Randall simply used the wrong argument to obtain it. Aseyhe (talk) 20:57, 10 March 2023 (UTC)
- I always understood radian to be the name of the unit, so by definition 1 radian=1. Barmar (talk) 21:17, 10 March 2023 (UTC)
- It is a shame that astronomers don't use the proper unit for such things: the steradian. It is literally there for describing the 3D equivalent of angle. Oh well... --172.69.79.137 04:16, 11 March 2023 (UTC)
Someone fix the vandalism, how do you upload images? --Purah126 (talk) 03:06, 11 March 2023 (UTC)