Can anyone make anything something more elegant out of this formula ? (without turning it into decimal)
2007-11-28 05:35:50 · 3 answers · asked by William B 2 in Science & Mathematics ➔ Mathematics
........... r²
---------------------
-2πL * (√2 - 1)²
........... r²
---------------------------
-2πL * (2 - 2√2 + 1)
........... r²
----------------------
-2πL * (3 - 2√2)
....... r²
-----------------
2πL(2√2 - 3)
....... r²(2√2 + 3)
-------------------------------
2πL(2√2 - 3)(2√2 + 3)
r²(2√2 + 3)
---------------
2πL(8 - 9)
r²(2√2 + 3)
---------------
-2πL
-r²(√2 + 3/2)
---------------
.... πL
That's about as "elegant" as I can make it...
2007-11-28 05:47:45 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
The square of the square root of -1 is 1 which you can add to the -2 to get -1 so:
f = - r^2 / PiL [answer].
2007-11-28 13:55:40 · answer #2 · answered by BB 7 · 0⤊ 0⤋
yes..I knew that....everyone can do that in their heads...
2007-11-28 14:07:16 · answer #3 · answered by Anonymous · 0⤊ 0⤋