If the cone is cut and opened into the sector of a circle what is the angle of the sector?

The angle of the sector is equal to the slant height of the cone.

To find the angle of the sector created by cutting and opening a cone, we need to know the shape of the original cone and the dimensions of the resulting sector. You mentioned that the cone is cut and opened into a sector of a circle, which suggests that the resulting shape is a sector of a circle.

The angle of a sector is given by the formula:

angle of sector = (arc length / circumference) * 360°

To find the angle of the sector, we need to know the arc length and the circumference.

However, since you did not provide any specific measurements or angles, it is not possible to determine the exact angle of the sector. Could you provide more information or specify any measurements so that I can assist you better?