Pentagon Calculator
What's the pentagon definition? How many sides does a pentagon have? Find the answers with our pentagon calculator!

What Pentagon Calculator does
The Pentagon Calculator on Omni Calculator computes the essential properties of a regular pentagon, including side length, diagonal, height, perimeter, area, and both circumcircle and incircle (apothem) radii. Users can input any single known dimension, and the tool instantly calculates the remaining parameters, providing a complete set of geometric measurements for the five-sided polygon. The interface is straightforward, presenting labeled outputs for each property and offering quick access to sharing or reloading the calculation. Beyond the calculator, the page includes educational context defining what a pentagon is, explaining that a regular pentagon has equal sides and 108° internal angles, and clarifying the difference between simple and self-intersecting shapes. This combination of computation and definition makes it useful for both quick measurements and learning the underlying geometry.
How to use the Omni Calculator Pentagon Calculator
- 1
Open the Pentagon Calculator on Omni Calculator
- 2
Enter the known value for any single pentagon dimension (side length, diagonal, height, perimeter, or area)
- 3
View the automatically calculated results for all other pentagon properties displayed on the page
- 4
Use the 'Clear all' button to reset the inputs and start a new calculation
- 5
Click 'Share result' to copy or distribute the computed measurements
Best for
Students, educators, and designers who need to quickly calculate or verify the geometric properties of a regular pentagon without manually applying area or perimeter formulas.
Limitations
- Designed specifically for regular pentagons; irregular five-sided shapes are not supported
- Requires at least one known input dimension to generate any output
- Provides mathematical results based on standard geometric formulas without unit conversion options
Pentagon Calculator FAQ
- Can this calculator handle irregular pentagons with sides of different lengths?
- No, the tool is designed exclusively for regular pentagons where all five sides are equal. Irregular pentagons require manual calculation or a different geometry tool.
- What measurements can I input to start a calculation?
- You can input any one of the following: side length, diagonal, height, perimeter, area, circumcircle radius, or incircle (apothem) radius. The calculator will then determine the remaining properties.
- Does the tool show the formula used for the area calculation?
- The calculator displays the final area value but does not show the step-by-step formula derivation. For the formula, refer to the 'Area and perimeter of a regular pentagon' section on the page.
- Is the result affected by the unit of measurement I use for the input?
- The output values will be in the same unit as the input provided. If you input meters, the results will be in meters; if you input feet, the results will be in feet.
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