Skip to content
OneKitly
Sign up · Sign in

Cone flat pattern generator

Unroll a cone or a truncated cone (frustum) into the flat sheet you cut out to build it. From the radii and height it computes the slant height, the exact sector angle and radii, the lateral area and the base arc length, and draws the pattern to scale — for sheet metal, paper craft or a lampshade.

Related tools

All Geometry tools →
Cone surface area calculatorCompute the total surface area and slant height of a cone from its radius and height.Cone volume calculatorCompute the volume, surface area and slant height of a cone, drawn to scale.Number Pattern FinderFind the rule behind a sequence: arithmetic, geometric, quadratic, cubic, Fibonacci, powers, triangular, factorial, primes or a linear recurrence, with the difference table and the next terms.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.Polygon diagonals calculatorHow many diagonals a polygon has, from its number of sides: n·(n−3)/2 — because each vertex connects to all others except itself and its two neighbours. It also names the polygon and gives the number of triangles it splits into and the sum of its interior angles.Rectangle calculatorEvery property of a rectangle from any two you know. Pick what you have — length & width, area & a side, perimeter & a side, or diagonal & a side — and it returns the length, width, area, perimeter and diagonal, using A = l·w, P = 2(l+w) and d = √(l²+w²).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.Shoelace formula calculatorCompute a polygon's area with the shoelace formula (Gauss's area formula): sum the cross-products of consecutive vertex coordinates, halve, and take the absolute value — A = ½·|Σ(xᵢ·yᵢ₊₁ − xᵢ₊₁·yᵢ)|. It also gives the signed area, whose sign tells you the winding direction, plus the perimeter and centroid.

Cone flat pattern generator is free to use as often as you like, directly from this page. Its place is under Geometry; Cone surface area calculator and Cone volume calculator answer the questions closest to this one.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What is Cone flat pattern generator?

Unroll a cone or a truncated cone (frustum) into the flat sheet you cut out to build it. From the radii and height it computes the slant height, the exact sector angle and radii, the lateral area and the base arc length, and draws the pattern to scale — for sheet metal, paper craft or a lampshade.

What does a concrete case look like?

r = 5, h = 12 → g = 13, θ = 138,5° — the tool shows every step in between, not just the final figure.

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.

How is Cone flat pattern generator different from Cone surface area calculator?

They sit next to each other but answer different questions: Cone surface area calculator is the one to open when you need it to compute the total surface area and slant height of a cone from its radius and height. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Cone volume calculator is the closest one after this: Compute the volume, surface area and slant height of a cone, drawn to scale.

Where do the figures come from?

The formulas are the classical ones and the results are exact to the precision shown — geometry does not change with the year or the country, so nothing here needs updating.

Further reading

All guides →
ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.How-toHow to Find the Distance Between Two PointsUse the distance formula d = √((x₂−x₁)² + (y₂−y₁)²) to measure the straight-line distance between two points on a plane, with a worked example and the midpoint too.How-toHow to Calculate the Slope of a Line: Rise Over RunFind the slope of a line from two points with m = (y₂ − y₁) / (x₂ − x₁), and read what a positive, negative, zero, or undefined slope tells you.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.