Question

Возможно ли из бревна диаметром 28 см вырубить балку, поперечное сечение которой — квадрат со стороной 22 см?

Answer 1

Найдем радиус описанной окружности квадрата:
R=a/√2
R=22/√2=15.6см
d=15.6*2=31.2 см
Ответ: нет нельзя, т.к. минимальный диаметр бревна должен быть 31.2 см, а бревно всего 28 см. в диаметре. Нехватает.

Answer 2

Possibility of Cutting a Beam from a 28 cm Diameter Log

It is possible to determine whether a beam with a cross-section of a square with sides of 22 cm can be cut from a log with a diameter of 28 cm.

The formula for the diameter of a circle inscribed in a square is given by: d = s * √2 Where: - d = diameter of the circle - s = side length of the square

Given that the diameter of the log is 28 cm and the side length of the required beam is 22 cm, we can calculate the diameter of the circle inscribed in the square.

Using the formula: d = 22 * √2 d ≈ 31.11 cm

The diameter of the circle inscribed in the square is approximately 31.11 cm. Since the diameter of the log is 28 cm, it is not possible to cut a beam with a cross-section of a square with sides of 22 cm from a log with a diameter of 28 cm.

Source: '1420637'

Conclusion

Based on the calculations, it is not possible to cut a beam with a cross-section of a square with sides of 22 cm from a log with a diameter of 28 cm.