Math / CALCULATOR

Square Pyramid Inclination Angles

Square Pyramid Inclination Angles: explicit measurements, a worked example and input validation.

Runs on your deviceUpdates as you typeFormula & example ↓
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Your inputs

Adjust the values to explore a different result.

units
Enter square base side in units.
units
Enter perpendicular height in units.

Formula

face-to-base angle=atan(2h/a); edge-to-base angle=atan(√2 h/a).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. Right square pyramid. Face inclination is measured in a section through the apex and a base-side midpoint.

Example Calculation

Example inputs
  • Square base side: 6 units
  • Perpendicular height: 4 units

Square side 6 and height 4 give face inclination 53.1301° and edge inclination about 43.3139°.

Frequently asked questions

How do I use this calculator?

Enter square base side, perpendicular height. The result updates automatically. Use Reset to restore the example values.

What method does it use?

face-to-base angle=atan(2h/a); edge-to-base angle=atan(√2 h/a).. Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. Right square pyramid. Face inclination is measured in a section through the apex and a base-side midpoint.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.