📏 Algebra & Geometry

Polygon Calculator

Calculate interior angles and area of regular polygons.

Polygon Calculator

Each Interior Angle
120°
Area
64.95
Overview

What Is a Polygon Calculator?

This tool calculates the interior angle sum, each interior angle, and area of a regular polygon based on the number of sides and side length.

Who It's For

For Geometry Students

Useful for coursework involving regular polygons and their properties.

Walkthrough

How to Use This Calculator

01

Enter number of sides

Input how many sides the polygon has.

02

Enter side length

Input the length of each equal side.

03

Read the results instantly

Interior angles and area update automatically.

Tips

Tips & Tricks

FAQ

Frequently Asked Questions

What's the formula for interior angle sum?

(n-2) × 180°, where n is the number of sides.

What's the formula for each interior angle?

((n-2) × 180°) ÷ n, for a regular polygon.

What's the formula for regular polygon area?

(n × s²) ÷ (4 × tan(π/n)), where n is sides and s is side length.

Does this work for irregular polygons?

No, this assumes a regular polygon with equal sides and angles - irregular polygons need different calculation methods.

What's the minimum number of sides?

3, forming a triangle - polygons need at least 3 sides.

Is my data saved?

No, calculations happen entirely in your browser.

Why does more sides mean angles closer to 180?

As sides increase, each interior angle approaches (but never reaches) 180°, making the shape increasingly circle-like.

Can side length be a decimal?

Yes, decimal measurements are fully supported.

Is this useful for architecture or design?

Yes, regular polygon calculations are used in various design and construction contexts.

Is this tool free?

Yes, completely free with no sign-up required.

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