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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, circle, triangle, rectangle, trapezoid, sphere, cylinder, cone, or prism, enter the dimensions, and get every relevant measurement at once. The tool shows the formulas it uses so you can learn while you calculate.

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Geometry Tool: a worked example

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, circle, triangle, rectangle, trapezoid, sphere, cylinder, cone, or prism, enter the dimensions, and get every relevant measurement at once. The tool shows the formulas it uses so you can learn while you calculate.

How to use

  1. 1Select a shape category (2D or 3D) and the specific shape
  2. 2Enter the required dimensions in the labeled fields
  3. 3Results for all relevant measurements appear immediately
  4. 4Switch shapes to compare or work on a different problem
  5. 5Review the displayed formula to understand the calculation

Key features

  • 2D shapes: circle, triangle, rectangle, square, trapezoid, parallelogram
  • 3D shapes: sphere, cylinder, cone, rectangular prism, triangular prism
  • Area, perimeter, volume, and surface area calculations
  • Multiple input modes for triangles (SSS, SAS, base-height)
  • Labeled diagrams for each shape
  • Formula display alongside results

Common use cases

  • 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.

How it works

Two-dimensional calculations cover area, perimeter, and related properties like diagonal length for rectangles or arc length for circles. Three-dimensional shapes add volume and surface area. For triangles, the tool accepts side lengths (SSS), two sides and an included angle (SAS), or base and height, automatically applying the appropriate formula. Visual diagrams label each dimension so there is no ambiguity about which measurement goes where.

Frequently asked questions

What units does the tool use?

The tool is unit-agnostic, results are in whatever unit you enter. If you type centimeters, the area comes out in square centimeters.

Can I calculate the area of an irregular polygon?

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

How are triangle calculations handled with only side lengths?

The tool applies Heron's formula when three side lengths are given, computing the semi-perimeter first.

Private by design

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