Pyramid Angle Calculator

Pyramid Angle Calculator

Calculate key pyramid face angles and slant heights for common right pyramids.

Last updated: June 2026 | By Patchworkr Team

Square and equilateral triangular pyramids use one face angle. Rectangular pyramids report separate face angles for the long and short sides.
Live Results
Slant Height
3.60555128
Face Angle
56.30993247
Apex Angle
33.69006753
Edge Length
4.12310563

Formula Notes

Square pyramid: slant height = sqrt(h^2 + (s/2)^2), face angle = atan(h / (s/2))

Triangular pyramid: uses the inradius of an equilateral base, s/(2sqrt(3))

Rectangular pyramid: separate face angles for each side length

Worked Example

Example: square pyramid with h = 4 and side = 5
Slant height: sqrt(4^2 + 2.5^2) ≈ 4.71699057
Face angle: atan(4 / 2.5) ≈ 57.99461679°
Apex angle: about 32.00538321°

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