The area of the elliptic region a2 is rab. Obtain this formula as follows: start with...

 

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The area of the elliptic region a2 is rab. Obtain this formula as follows: start with the circle a? + y? <1 whose area you know to be r. Think of that area as a sum of lots of little squares. Scale the picture by the factor a in the a direction and by the factor b in the y direction, and argue. The area of the elliptic region a2 is rab. Obtain this formula as follows: start with the circle a? + y? <1 whose area you know to be r. Think of that area as a sum of lots of little squares. Scale the picture by the factor a in the a direction and by the factor b in the y direction, and argue.