SOLUTION: Find the perimeter of an ellipse if the major axis is 30 mm and the minor axis is 12mm

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the perimeter of an ellipse if the major axis is 30 mm and the minor axis is 12mm      Log On


   

Question 1088234: Find the perimeter of an ellipse if the major axis is 30 mm and the minor axis is 12mm
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Integrate,
P=4%2Aint%28%28a%5E2%2Asin%5E2%28x%29%2Bb%5E2%2Acos%5E2%28x%29%29%2Cdx%2Cx=0%2Cpi%2F2%29
P=4%2Aint%28%2815%5E2%2Asin%5E2%28x%29%2B6%5E2%2Acos%5E2%28x%29%29%2Cdx%2Cx=0%2Cpi%2F2%29
P=4%2Aint%28%28225%2Asin%5E2%28x%29%2B36%2Acos%5E2%28x%29%29%2Cdx%2Cx=0%2Cpi%2F2%29
I used wolframaplha to solve this elliptic integral,
P=4%2A%2817.2598%29
P=69.04mm