Areas of superellipse, Rectangle, and their ratio.
11
Expression 12: "A" Subscript, 1 , Baseline equals StartFraction, StartRoot, pi , EndRoot "a" "b" times 2 Superscript, 1 minus StartNestedFraction, 2 NestedOver "n" , EndNestedFraction , Baseline left parenthesis, "n" plus 2 , right parenthesis left parenthesis, StartNestedFraction, "n" plus 1 NestedOver "n" , EndNestedFraction ! , right parenthesis Over left parenthesis, "n" plus 1 , right parenthesis left parenthesis, StartNestedFraction, "n" plus 2 NestedOver 2 "n" , EndNestedFraction ! , right parenthesis , EndFractionA1=πab·21−2nn+2n+1n!n+1n+22n!
equals=
6.2 8 3 1 8 5 3 0 7 1 86.28318530718
12
Expression 13: "A" Subscript, 2 , Baseline equals 4 "a" "b"A2=4ab
equals=
88
13
Expression 14: "P" equals StartFraction, "A" Subscript, 1 , Baseline Over "A" Subscript, 2 , Baseline , EndFractionP=A1A2