IOM 2021, Блиц — Задача 59

The Blitz-contest of IOM-2021

Условие

A circular sector is a portion of a disc enclosed by two radii and an arc. Among all circular sectors with a fixed area $S$, consider the one with the smallest perimeter. What is the central angle (in radians) of that circular sector?

If the answer is a fraction, it can be entered either as a decimal fraction or as a ratio “$r/s$”. Rounding is not allowed.

Отговори

Решение

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Оригинал в Архива: iom-2021-blitz-tasks-eng.pdf · официални решения: iom-2021-blitz-answers-eng.pdf