Dihedral Angle Calculator

Dihedral angle is the one of the special kind of angles in mathematical geometry.  Dihedral angle is an angle that forms between two plans.  Usually a plane is the three dimensional flat surface.  The points in the plane take the form of (x, y, z).  In this topic we are going to study about how to calculate the dihedral angle when the points of the plane are given through the dihedral angle calculator.

Explanation about Dihedral Angle through Calculator

Important Guidelines:

The following steps are the important guide lines to calculate the dihedral angle.

• First we have to choose the three points on the plane 1 and then choose the three points on the plane 2

• Enter the (x, y, Z) values for each point on the dihedral angle calculator we have to get the equation of the plane 1 and plane 2 separately

• The equation of the plane 1 is taking the form of A1x + B1y + C1z + D1 =0 and then the equation of the plane 2 is taking the form of A2x + B2y + C2z + D2 =0

Now we have to calculate the dihedral angle through the following formula,

cos`alpha` = `((A_1)(A_2) + (B_1)(B_2) + (C_1) (C_2))/ (sqrt((A_1)^2 +(B_1)^2 +(C_1)^2) * sqrt((A_2)^2 +(B_2)^2 +(C_2)^2))`

This formula is used for our manual calculation.

Example Problem on Calculate Dihedral Angle via Calculator

Calculate the dihedral angle for the plane 1 and plane 2.  The points on the plane 1 are (1, 2, 3) and (3, 2, 1) and then (2, 1, 3) and the points on the plane 2 are (4, 1, 2) and (1, 4, 4) and then (2, 4, 2)

Solution:

Now we have to substitute the values of the points in the following dihedral Angle Calculator,



This calculator gives the distance between each points and equation of the each plane and then the angle in between the planes in both degrees and radians.  These are the main usage of the dihedral angle calculator.