Предмет: Математика, автор: zhaenicka199954

найдите площадь круга(S), вписанного в квадрат с диагональю 10корень .В ответе укажите sдробь

Ответы

Автор ответа: kirichekov

d - диагональ квадрата
d²=a²+a², d²=2a², 10=2a², a²=5, a=√5
D - диаметр круга, вписанного в квадрат
D=a S круга=πR² или S=π*(D/2)², S=π*(D/4)
S=(π*√5)/4, S=0,25*π*√5

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