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  3. Geometry Tool
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Geometry Tool

Calculate area, perimeter, volume, and surface area of shapes

Calculate area, perimeter, volume, and surface area for common 2D and 3D shapes. Select a shape - from circles and regular polygons to spheres, cones, and prisms - choose a unit, enter the dimensions, and get every relevant measurement at once.

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A worked calculation

You have a right triangle with legs 3 and 4 and need the hypotenuse and area for a layout.

Triangle

right triangle, legs a = 3, b = 4
Geometry Tool produces

Results

hypotenuse c = 5   area = 6   perimeter = 12

By the Pythagorean theorem c = √(3²+4²) = 5, and the area of a right triangle is ½·base·height = 6. The tool computes properties for many shapes and shows the formula used, so the result is verifiable, not a black box.

What is Geometry Tool?

Calculate area, perimeter, volume, and surface area for common 2D and 3D shapes. Select a shape - from circles and regular polygons to spheres, cones, and prisms - choose a unit, enter the dimensions, and get every relevant measurement at once.

How it works

Two-dimensional shapes (circle, ellipse, rectangle, right triangle, trapezoid, parallelogram, and regular pentagon and hexagon) return area and perimeter; the ellipse perimeter uses Ramanujan's approximation. Three-dimensional shapes (sphere, cylinder, cone, cube, square pyramid, and triangular prism) return volume and surface area, and the cube also reports its space diagonal. The right-triangle mode takes a base and height and derives the hypotenuse for the perimeter. A unit selector (mm, cm, m, km, in, ft, yd) labels the results, with area in squared units and volume in cubed units.

How to use

  1. 1Select a shape and a unit
  2. 2Enter the required dimensions in the labeled fields
  3. 3Click Calculate to see area, perimeter, volume, or surface area as relevant
  4. 4Switch shapes to compare or work on a different problem

Key features

  • 2D shapes: circle, ellipse, rectangle, right triangle, trapezoid, parallelogram, regular pentagon, regular hexagon
  • 3D shapes: sphere, cylinder, cone, cube, square pyramid, triangular prism
  • Area, perimeter, volume, and surface area calculations
  • Cube space-diagonal and Ramanujan ellipse-perimeter approximation
  • Unit selector (mm, cm, m, km, in, ft, yd) applied to the results

When this is useful

  • Geometry coursework

    Compute and verify answers for area, volume, and surface area problems.

  • Home improvement

    Calculate paint coverage, flooring area, or material volume for DIY projects.

  • Design and fabrication

    Determine material dimensions for custom enclosures, packaging, or parts.

  • Teaching and tutoring

    Show students how changing a dimension affects area or volume with instant feedback.

Frequently asked questions

What units does the tool use?

You pick a unit (mm, cm, m, km, in, ft, yd) and the results are labeled accordingly - lengths in that unit, areas in squared units, and volumes in cubed units. The math is the same regardless of which unit you choose.

Can I calculate the area of an irregular polygon?

Not directly. Break the shape into the supported shapes, calculate each, and sum the results.

How is the triangle handled?

The triangle mode takes a base and height, computes the area as one-half base times height, and derives the hypotenuse to report the perimeter of a right triangle.

Private by design

Every calculation runs locally in your browser. Your numbers and expressions are not transmitted or stored.