Angle between planes

This calculator is designed for determining the angle between two planes online.
Two planes can be parallel to each other or intersect. If two planes are parallel, then the angle between them is zero. If it is a question of calculating the angle between planes, then most likely there are intersecting planes, as this task is not so simple.

When two planes intersect, four angles are formed. If all these angles are equal and equal to 90 degrees, this means that the planes are perpendicular to each other. Otherwise, two acute and two obtuse angles are obtained. Thus, the angle between the planes – acute angle formed by the intersection of two planes.

Let the intersecting planes be given by the following equations:

and

then the angle between the planes is calculated by the following formula:


To find the angle between two planes, enter the equations of these planes and press the button «Calculate».