Question

Диаметр шара равен 4м.Через конец диаметра проведена плоскость под углом 45 градусов к нему.Найдите длину линии пересечения шара с этой плоскостью.

Answer 1

блин,я написала решение и фотографировала, компьютер флешку не находит, 

Answer 2

Calculation of the Length of the Intersection Line

To find the length of the intersection line between a sphere and a plane, we need to consider the given information.

The diameter of the sphere is 4 meters, and a plane is drawn through the end of the diameter at an angle of 45 degrees to the sphere. We need to determine the length of the intersection line between the sphere and the plane.

To solve this problem, we can use the formula for the length of the intersection line between a sphere and a plane. The formula is given by:

Length of intersection line = 2 * radius * sin(angle)

In this case, the radius of the sphere is half of the diameter, which is 2 meters. The angle between the plane and the diameter is 45 degrees.

Using the formula, we can calculate the length of the intersection line as follows:

Length of intersection line = 2 * 2 * sin(45 degrees)

To calculate the sine of 45 degrees, we can use the trigonometric table or a calculator. The sine of 45 degrees is equal to 0.7071.

Substituting the values into the formula, we get:

Length of intersection line = 2 * 2 * 0.7071 = 2.8284 meters

Therefore, the length of the intersection line between the sphere and the plane is approximately 2.8284 meters.