This preview shows page 1. Sign up to view the full content.
Unformatted text preview: x 2 a 2 + y 2 b 2 = 1 . Compare this area with that of a circle with radius a whose area is ! a 2 . x 2 + y 2 = a 2 At x the crosssectional lengths are 2 y = b a a 2 ! a 2 and 2 y = a 2 ! x 2 , respectively. Thus the ratios of these lengths is b a . From this we get that the area of the ellipse is A ellipse = b a ! " a 2 = ab . a b a...
View
Full
Document
This note was uploaded on 07/14/2011 for the course MAC 3473 taught by Professor Block during the Spring '08 term at University of Florida.
 Spring '08
 BLOCK
 Calculus

Click to edit the document details