We use $\pi = 180$ degree in radian and degree relation why we not use the value of $\pi = 3.14$ in degree and radian relation? confused
Asked
Active
Viewed 228 times
0
-
The value of $\pi$ is not $3.14$. – egreg Dec 07 '16 at 15:24
-
Pi is a Greek letter used to denote the ratio of a circle's circumference and diameter; pie is a type of cake. – Asaf Karagila Dec 07 '16 at 15:24
-
1Are you just asking about units? A foot is twelve inches. Similarly, $\pi$ radians is $180$ degrees. We could define other units by whatever ratio we like. – lulu Dec 07 '16 at 15:27
-
2@AsafKaragila Pie is not cake... – David Mitra Dec 07 '16 at 15:27
-
@David: I guess it's a cultural thing. In Israel it's considered a cake. At least things like an apple pie and the likes of it. Shepherd's pie is not a cake, that is true. – Asaf Karagila Dec 07 '16 at 15:31
-
Not pie-related: http://math.stackexchange.com/questions/1951021/why-in-calculus-the-angles-are-measured-in-radians/1951111#1951111 – Michael Hoppe Dec 07 '16 at 18:31
2 Answers
1
Radians are just a unit that we use to measure angles with. It's about 60 degrees. ($\approx57$)
Degrees are another unit used to measure angles. It is much smaller than a radian. Radians and degrees can be thought of like meters and inches.
And just like $39.4$ inches and $1$ meter represent the same length, $\pi$ (the number 3.14...) radians and 180 degrees represent the same angle. $\pi$ still represents the number 3.14... when dealing with radians. It is just set up so that that many radians and 180 degrees are equivalent.
turkeyhundt
- 7,733
0
Note the difference between
1 ) $\pi = 180°$
and
2 ) $\pi$ radians $= 180°$
1) is wrong.
keepAlive
- 218