Free · Algebra and geometric relations

Regular Pyramid Slopes and Edge Angles

Relate regular polygon base side, centered perpendicular height, edge length and face slopes.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

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For the worked example, Segment MC = 3, Slanted height (MO) = 5.

Base apothem=s/(2 tan(π/n)); circumradius=s/(2 sin(π/n))

Enter these known values and leave the other values blank.

The apex lies above the center of a regular n-gon. Side and height are positive.
Custom n is an integer of at least three. Face slope uses the apothem; edge slope uses the circumradius.

Choose the relevant mode and enter independent known quantities. Leave a missing value empty where the control permits an inverse.

The result follows the stated mathematical model. All dimensions must use consistent units; available unit selectors handle conversions.

Bookify validates the real geometric or algebraic domain and inverse branches omitted or approximated by this capture.