Polygon Calculator: Your Handy Math Buddy

Welcome to the polygon calculator. This tool helps you compute key properties of a regular polygon. It is easy to use and offers clear results.

How to Use This Tool

Follow these simple steps to use the polygon calculator:

1. Enter the number of sides. The value must be 3 or more.
2. Enter the length of each side using a positive number.
3. Click the "Calculate" button.

Input Field Explanation

The "Number of Sides" field accepts a whole number. It defines how many edges the polygon has.

The "Side Length" field accepts a positive number. It tells the tool how long each side is.

Understanding the Output

The calculator returns several results. These include:

• Perimeter - the total distance around the shape.
• Area - the space inside the polygon.
• Interior Angle - the angle at each vertex inside the polygon.
• Exterior Angle - the angle outside each vertex.
• Central Angle - the angle at the center pointing to each vertex.
• Apothem - the distance from the center to one of its sides.
• Circumradius - the distance from the center to a vertex.
• Sum of Interior Angles - the total measure of all interior angles.

The results show two digits after the decimal point for clarity.

Visual Diagram

Picture a regularly shaped polygon with all sides equal and all angles the same. Imagine lines connecting the center to each vertex. Each side and angle is clearly marked. This mental diagram helps you see how the tool calculates each value.

Limitations and Special Notes

This calculator works only for regular polygons. All sides must have equal length and all angles must be the same. Use a number of sides that is 3 or more. Use a positive value for the side length.

Common Use Cases

The polygon calculator fits many needs. For example:

• Students checking homework problems.
• Teachers preparing examples for lessons.
• Engineers making quick geometric calculations.
• Anyone with an interest in basic geometry.

Try calculating a triangle with a side length of 5 or a pentagon with a side length of 10. You will see clear and immediate results.

This tool makes polygon math clear and fast. Have a look and see how it helps you with geometry work.