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Regular polygon area calculator

Compute the area of a regular polygon from its number of sides and side length.

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Regular polygon perimeter calculatorCompute the perimeter of a regular polygon from its number of sides and side length.Regular polygon calculatorEvery measure of a regular polygon from the number of sides and the side length: the area, perimeter, interior and exterior angles, the sum of interior angles, the apothem (inradius), the circumradius and the number of diagonals. One entry, the full geometry — for triangles through many-sided polygons.Irregular polygon area calculatorThe area of any polygon — regular or not, convex or concave — from its corner coordinates. Enter the vertices in order and the shoelace formula returns the exact area, plus the perimeter, the centroid and whether the points run clockwise or counter-clockwise, with a drawing of the shape. Ideal for land plots and CAD sketches.Hexagon area calculatorCompute the area of a regular hexagon from its side length.Pentagon area calculatorCompute the area of a regular pentagon from its side length.Triangle area calculator (Heron's formula)Compute a triangle's area from the length of its three sides.Trapezoid area calculatorCompute the area of a trapezoid from its two parallel sides and height.Area calculatorCompute the area of a rectangle, square, circle or triangle.

Need Area? The Regular polygon area calculator derives it from Number of sides, Side length in one step. For instance, with Number of sides = 6 and Side length = 10 it returns Area = 259.808.

How to use it

  1. Enter your values: Number of sides, Side length.
  2. Read the result instantly: Area.

Frequently asked questions

How does the Regular polygon area calculator work?

It takes Number of sides and Side length and derives Area from them. The calculation is live as you type, so the result updates on every change.

Which values does the calculator ask for?

2 values: Number of sides and Side length. Nothing else is required — no account, no file upload.

What does a typical calculation look like?

With Number of sides = 6 and Side length = 10, the calculator returns Area = 259.808. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

How much does the result change with different inputs?

It moves a lot. Using Number of sides = 12 and Side length = 20 instead, Area goes from 259.808 to 4,478 — which is why it is worth testing a few scenarios rather than trusting a single figure.

What does it give for smaller values?

Scaled down to Number of sides = 3 and Side length = 5, Area comes out at 10.825. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Homework and site work alike: how much paint a wall takes, how much water a tank holds, whether a corner is square — and, on the coordinate side, the slope between two points, the distance across a plan, the midpoint of a span.

What is the most common mistake?

Mixing units inside one shape. Entering a length in centimetres and a width in metres gives an area wrong by a factor of a hundred, and the result looks perfectly plausible.

What is the difference between the Regular polygon area calculator and the Regular polygon perimeter calculator?

This one returns Area; the Regular polygon perimeter calculator returns Perimeter. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Regular polygon calculator is the closest one after this: Every measure of a regular polygon from the number of sides and the side length: the area, perimeter, interior and exterior angles, the sum of interior angles, the apothem (inradius), the circumradius and the number of diagonals. One entry, the full geometry — for triangles through many-sided polygons.

What else is worth having open alongside it?

Irregular polygon area calculator and Hexagon area calculator — they come up in the same task often enough to be worth a second tab.

Further reading

All guides →
How-toCircle: Circumference and AreaCircumference is 2πr, area is πr². Here's how radius, diameter and π fit together, both formulas worked through, and how not to mix them up.How-toHow to Find the Area of a Triangle: Base × Height and Heron's FormulaTwo reliable ways to find a triangle's area: half base times height when you know the height, and Heron's formula when you only know the three sides.ExplainerThe Pythagorean Theorem ExplainedIn a right triangle, a² + b² = c². Here's what the formula means, a worked example, how to find any side, and where it's used in real life.How-toHow to Calculate VolumeVolume is the space inside a shape. Here's how to find it for boxes, cylinders and spheres, and why keeping your units consistent is the whole game.How-toHow to Calculate the Square Metres of a RoomFind a room's area by multiplying length by width. Here's the method for rectangular, L-shaped and round rooms, and why area drives your material orders.How-toHow Many Tiles Do You Need? (Floor and Wall)Estimate tiles from the area to cover and one tile's size, then add for cuts and waste. Here's the method, with an example and the 10% rule.