THE NUMBERS, EXPLAINED
How to use this calculator.
Applies to a regular polygon with equal sides and angles.
Start with your inputs
Enter sides, side length. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Sides | 6 |
| Side length | 2 |
A worked example
With the example inputs above, area is 10.392305. Change the inputs to explore your own scenario.
Putting the example numbers into the formula
Area
(6) × (2) × (2) ÷ (4 × tan(π ÷ (6))) = 10.392305
Perimeter
(6) × (2) = 12
Interior angle (degrees)
((6)-2) × 180 ÷ (6) = 120
| Result | Example answer |
|---|---|
| Area | 10.392305 |
| Perimeter | 12 |
| Interior angle (degrees) | 120 |
How this is calculated
Area
a × b × b ÷ (4 × tan(π ÷ a))
Perimeter
a × b
Interior angle (degrees)
(a-2) × 180 ÷ a
Symbols and units
- a
- Sides
- b
- Side length
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
tan uses an angle in radians. Convert degrees by multiplying by π/180.
π is the circle constant, approximately 3.141592653589793.
Assumptions and limits
Applies to a regular polygon with equal sides and angles.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Area; Perimeter; Interior angle (degrees). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Applies to a regular polygon with equal sides and angles.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →