I tried integrating equation between limits -a and a. Then I tried -b and b. I cant fix it. How to find volume of egg shaped body?(assume some arbitrary dimensions)
2007-01-26 08:46:54 · 5 answers · asked by Mau 3 in Science & Mathematics ➔ Mathematics
The equation for such an ellipse, assuming center at the origin and major axis along the x axis, is:
x^2/a + y^2/b = 1
Solve for y, Quadrant I (x>0, y>0):
y = b*Sqrt[1 - x^2/a]
Integrate in Quadrant I, and multiply by 4:
4* Integrate[ b*Sqrt[1 - x^2/a], x] ==
2*(b*(x*Sqrt[1 - x^2/a] + Sqrt[a]*ArcSin[x/Sqrt[a]]))
What a mess...
Well, we look it up on wikipedia, and it's very simple: area of ellipse is pi * a * b
:-)
2007-01-26 09:25:56 · answer #1 · answered by rpresser 2 · 0⤊ 0⤋
The area of ellipse is given by A=3.14*a*b
2007-01-26 16:12:19 · answer #2 · answered by ? 2 · 0⤊ 0⤋
area is equal to πab. to explain it u need to integrate the function
2007-01-28 00:02:48 · answer #3 · answered by ishan m 1 · 0⤊ 0⤋
πab
If a=b, then the area is πa^2.
2007-01-26 09:09:07 · answer #4 · answered by sahsjing 7 · 0⤊ 0⤋
A=pi*a*b
The explanation is out of your reach
2007-01-26 09:21:04 · answer #5 · answered by santmann2002 7 · 0⤊ 0⤋