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This publication presents formulas with which you can find the radius of a sphere (ball) described around a regular pyramid: triangular, quadrangular, hexagonal and tetrahedron.
Content
Formulas for calculating the radius of a sphere (ball)
The information below only applies to . The formula for finding the radius depends on the type of figure, consider the most common options.
Regular triangular pyramid
In this figure and drawings below:
- a – the edge of the base of the pyramid;
- h – the height of the figure.
If these quantities are given, calculate the radius (R) the sphere/ball circumscribed around the pyramid can be obtained from the formula below:
Correct is a kind of regular triangular pyramid. Formula for it:
Regular quadrangular pyramid
Radius (R) circumscribed sphere/ball is calculated as follows:
Regular hexagonal pyramid
The formula for finding the radius (R) sphere/ball looks like this:
