Easily calculate the face angle (slant angle) and edge angle of any regular square pyramid. Input the base side length and height to get instant, accurate results for geometry, design, and educational purposes.
Formula:
The Pyramid Angle Calculator determines the face angle (φ) and edge angle (θ) of a regular square pyramid using its base side length (b) and height (h).
Slant Height (s): s = √(h2 + (b/2)2)
Face Angle (φ): φ = arctan(2h / b) (Angle between a face and the base)
Distance from center to corner (dc): dc = √((b/2)2 + (b/2)2) = b / √2
Edge Angle (θ): θ = arctan(h / dc) = arctan(h × √2 / b) (Angle between an edge and the base)