Calculator Land

# Guide to the geometry calculators

The geometry calculators work out areas, volumes and other measurements of flat shapes and solids: rectangles, circles, triangles, cubes, cylinders, spheres and prisms. Three more find square roots, apply the Pythagorean theorem and convert between degrees and radians.

## Geometry

### [Bidirectional Degrees & Radians Converter](https://www.calculator.land/calculators/radians-to-degrees/)

Converts between degrees and radians in both directions. Alongside the result it shows the angle as a fraction of π, its quadrant, the steps of the conversion and the angle drawn on the unit circle.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - The fraction of π is worked out exactly from the degrees you typed: 22.5° gives π/8 and 0.1° gives π/1,800.

### [Circle Area Calculator](https://www.calculator.land/calculators/circle-area/)

Finds the area of a circle from its radius, its diameter or its circumference. It also shows all three measurements and compares them in a bar chart.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).

### [Circumference of a Circle Calculator](https://www.calculator.land/calculators/circle-circumference/)

Works out the circumference of a circle from its radius, diameter or area, in millimetres, centimetres, metres, inches or feet. It also gives the radius and the diameter, and shows the formula it used.

### [Cube Volume Calculator](https://www.calculator.land/calculators/cube-volume/)

Calculates the volume of a cube from its edge, its face diagonal or its space diagonal. It also gives the edge, the surface area and both diagonals, with the volume in the unit you pick, litres and millilitres included, and the calculation step by step.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - In the step-by-step calculation, «=» appears only when the number shown is the exact answer from the digits you typed; a line that divides by √2 or √3, or is rounded, uses «≈».

### [Cylinder Volume Calculator](https://www.calculator.land/calculators/cylinder-volume/)

Calculates the volume of a solid or hollow cylinder from its height and its radius, diameter or circumference. For a hollow cylinder a chart splits the volume into material and empty space, next to a sketch of the cylinder.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - The formula line under the volume reads «V =» only when the radius and height it shows are exact; a radius that is rounded or worked out from the circumference reads «V ≈».

### [Hypotenuse Calculator](https://www.calculator.land/calculators/pythagorean-theorem/)

Uses Pythagoras' theorem to find the hypotenuse of a right triangle from the two legs, or a missing leg from the hypotenuse and the other leg. It shows the steps, and when the root does not come out exact it also gives the answer as a simplified root.

### [Pro Square Root & Radical Simplifier](https://www.calculator.land/calculators/square-root/)

Gives the square root of a number to 2, 5 or 10 decimals or at full precision, together with its simplified radical form and the negative root.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - The simplified radical form is worked out exactly from the digits you typed: 12 gives 2√3 and 12.25 gives 3.5.

### [Rectangle Area Calculator](https://www.calculator.land/calculators/rectangle-area/)

Works out the area, perimeter and diagonal of a rectangle from its length and width. Each side can be entered in its own unit, from millimetres to miles, and the results come in the unit you choose, with the steps and a figure drawn to the rectangle's proportions.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - In the steps and at the diagonal in the figure, «=» appears only when the number shown is the exact answer from the digits you typed; otherwise the sign is «≈».

### [Sphere Volume & Geometry Lab](https://www.calculator.land/calculators/sphere-volume/)

Calculates the volume, surface area and surface-to-volume ratio of a sphere from its radius, diameter, surface area or circumference. You choose the unit, from millimetres to miles, and the number of decimals.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - The radius marked in the figure reads «r =» only when it shows the radius as you typed it; otherwise it reads «r ≈».

### [Triangle Area Calculator](https://www.calculator.land/calculators/triangle-area/)

Calculates the area of a triangle in five ways: base and height, three sides, two sides and the angle between them, two angles and a side, or the coordinates of the corners. It also gives the perimeter and the type of triangle, draws it, and shows the calculation step by step, in metric or imperial units.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - In the step-by-step calculation, the area reads «=» only when the number shown is the exact answer from the digits you typed; a method that uses a sine always reads «≈».

### [Universal Prism Volume Calculator](https://www.calculator.land/calculators/prism-volume/)

Calculates the volume, surface area and base area of a right prism with a rectangular, triangular, trapezoidal, hexagonal or pentagonal base. You enter the base measurements and the length of the prism, and can show the calculation step by step.

**Quality:**

  • - Checked with real keystrokes in the browser in every language version, and passed (October 2026).
  • - In the step-by-step calculation, «=» appears only when the number shown is the exact answer from the digits you typed; the hexagonal and pentagonal bases, whose area involves a root, use «≈».