Geometry Calculator

Calculate area, perimeter, surface area, and volume for common shapes

Area
78.5398
cm²
Perimeter
31.4159
cm
Formula
Area = π × r²
Perimeter = 2 × π × r
Step-by-step Solution
  1. r = 5 cm
  2. Area = π × r²
  3. Area = π × 5² = π × 25
  4. Area = 78.5398 cm²
  5. Perimeter = 2 × π × r = 2 × π × 5
  6. Perimeter = 31.4159 cm

What is Geometry Calculator?

The Geometry Calculator is a comprehensive math tool that computes key measurements for a wide variety of two-dimensional and three-dimensional shapes. For 2D shapes it calculates area and perimeter, and for 3D shapes it calculates volume and surface area. With support for 10 two-dimensional shapes and 8 three-dimensional shapes, it covers virtually every shape encountered in school mathematics and practical real-world tasks.

Supported 2D shapes include the circle, square, rectangle, triangle, parallelogram, trapezoid, rhombus, ellipse, regular polygon, and sector. Supported 3D shapes include the sphere, cube, rectangular prism, cylinder, cone, pyramid, triangular prism, and hemisphere. Each shape displays a labeled diagram showing which dimensions to enter, making it easy to use even if you are not sure which measurement goes where.

The calculator is useful for students working on geometry assignments, architects and designers estimating material quantities, and anyone calculating floor area, paint coverage, container volumes, or similar real-world measurements. Formulas are shown alongside each result so you can verify the method and learn the underlying mathematics.

How to Use Geometry Calculator

  1. Select a shape

    Choose a 2D or 3D shape from the shape selector. A diagram shows the required dimensions.

  2. Enter dimensions

    Input the measurements for the selected shape, such as radius, length, width, or height.

  3. View results

    Area and perimeter for 2D shapes, or volume and surface area for 3D shapes, appear instantly.

  4. Check the formula

    Review the formula used for the calculation so you can understand and reproduce the result manually.

Key Benefits

18 shapes supported

Covers 10 two-dimensional and 8 three-dimensional shapes, addressing the full range of common geometry problems.

Formulas shown

Every result includes the formula used, helping students learn the underlying mathematics alongside getting answers.

Instant calculations

Results update immediately as you enter dimensions, making quick estimation effortless.

Works on any device

Fully responsive design works on mobile, tablet, and desktop — handy on a job site or in a classroom.

Frequently Asked Questions

The calculator is unit-agnostic. Enter any consistent unit (meters, feet, centimeters) and the results will be in the corresponding squared or cubed unit.

For a triangle with known base and height, area is 0.5 x base x height. If you know all three sides, the calculator uses Heron's formula to find the area.

Yes. For a cylinder, the total surface area is 2πr(r + h), covering both circular ends and the curved lateral surface. Enter the radius and height and the result appears instantly.

Absolutely. The labeled diagrams, formula display, and immediate feedback make it an ideal learning aid for students at all levels studying geometry.

Related Tools