Предмет: Геометрия, автор: anelya0612

2. [4]a)АВ – диаметр окружности с центром О. Найдите координаты центра окружности, если А (5;-1) и В (-3;-7).
b) Запишите уравнение окружности, используя условия пункта а).

Ответы

Автор ответа: Аноним

4

Координаты середины отрезка ищутся как полусумма координат концов этого отрезка, середина диаметра- это точка О -центр окружности найдем ее координаты

х=(5-3)/2=1

у=(-1-7)/2=-4

Ответ О(1;-4)

Длина диаметра равна √(64+36)=√100=10, радиус равен 5, уравнение окружности (х-х₀)²+(у-у₀)²=R²

(х-1)²+(у+4)²=25

Inkyisbeautiful: откуда 64 в скобках?

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