Из точки взятой вне круга, проведены касательная, равная 24 см, и наибольшая секущая, равная

Из точки взятой вне круга, проведены касательная, равная 24 см, и наибольшая секущая, равная 32 см. Вычислить площадь круга.
- Предмет:
  Геометрия
- Автор:
  claude
- 5 лет назад

Ответы 1

Наибольшая секущая, равная 32 см, проходит через центр окружности.Если от этого отрезка отнять радиус окружности, то это будет гипотенуза прямоугольного треугольника с катетами, равными радиусу и касательной.Составим уравнение:(32-R)² = R² + 24².1024-64R+R² = R²+576.64R = 448.R = 448/64 = 7 см.Площадь S круга равна: S = πR² = 49π см².
- Автор:
  braun
- 5 лет назад
- 0
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Из точки взятой вне круга, проведены касательная, равная 24 см, и наибольшая секущая, равная 32 см. Вычислить площадь круга.

Ответы 1

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