SOLUTION: an elliptical track has a major axis that is 50 yards long and a minor axis that is 40 yards long. write an equation for the track if its center is at (0,0).

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Question 294375: an elliptical track has a major axis that is 50 yards long and a minor axis that is 40 yards long. write an equation for the track if its center is at (0,0).
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
an elliptical track has a major axis that is 50 yards long and a minor axis that is 40 yards long. write an equation for the track if its center is at (0,0).
+x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1+
a is major axis, b is minor axis, horizontal, a>b
+x%5E2%2F%2850%5E2%29+%2B+y%5E2%2F%2840%5E2%29+=+1+
+x%5E2%2F2500+%2B+y%5E2%2F1600+=+1+
(the above is the equation for the track)
if center was not at (0,0) we would need to use:
+%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
where (h,k) is center, but as stated before center is at (0,0)
according to Gauss-Kummer(w/ Ramanujan 1914):
circumference is approximately 283.6167 yards or approximately 850.8501 feet