Exact symbolic confirmation that the circle saturates the isoperimetric inequality with ratio exactly 1. For a circle of radius r: perimeter P = 2π·r, enclosed area A = π·r². Compute 4πA/P² = 4π·π·r² / (4·π²·r²) = 1 — the factor r²…
Exact symbolic confirmation that the circle saturates the isoperimetric inequality with ratio exactly 1. For a circle of radius r: perimeter P = 2π·r, enclosed area A = π·r². Compute 4πA/P² = 4π·π·r² / (4·π²·r²) = 1 — the factor r²…