2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75531We suggest a continued fraction origin to Ramanujan's approximation to {(a-b)/(a+b)}^2 in terms of the arc length of an ellipse with semiaxes a and b. Moreover, we discuss the asymptotic accuracy of the approximation.Four pagesClassical Analysis and ODEs41A25, 41A60text