Math

Pyramid Angle Calculator

Find the face and edge angles of a square pyramid.

Calculated Output

Face slope angle (°) 53.13

Edge angle to base (°) 43.314

Formula: faceAngle = atan(h ÷ (b/2)); edgeAngle = atan(h ÷ (b/√2))

Step-by-Step Breakdown

1. Values used:

2. Base edge = 6

3. Height = 4

5. Face slope angle = 53.13°

6. Edge angle to base = 43.314°

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The math behind it

The face slope angle is atan(h ÷ (b/2)). A lateral edge rises from a corner, distance b/√2 from the centre, giving atan(h ÷ (b/√2)).

Base 6, height 4 → face angle ≈ 53.13°, edge angle ≈ 43.31°.

Which angle is steeper?

The face angle is steeper than the edge angle, since edges run to the farther corners.