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Mark786
25.01.2022 18:40
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musukaev699
musukaev699
4,4(18 оценок)
Из центра окружностей опустим радиус к внутренней окружности, перпендикулярно ему построим касательную к вписанной окружности до пересечения с описанной. это будет одна сторона правильного многоугольника. вычислим угол ф под которым она видна из центра  cos(ф/2) = r/r = 3√2/6 =  √2/2 ф/2 = arccos(√2/2) = pi/4 ф = pi/2 = 90° количество сторон правильного многоугольника равно 360/ф = 360/90 = 4 это квадрат : )

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