Calculators/Mathematics/Areas and volumes of figures

Areas and volumes of figures

Plane figures and solids · area · perimeter · volume

Areas and volumes of figures — illustration
Area
78.54
Perimeter
31.416
Diameter
10

Results in units matching the input: area in units², volume in units³. π ≈ 3.14159.

A calculator of areas, perimeters and volumes of the most common figures. For plane figures it computes area and perimeter — e.g. a circle:

P=πr2L=2πrP=\pi r^2 \qquad L=2\pi r

For solids — the total surface area and the volume, e.g. a sphere and a cylinder:

Vsphere=43πr3Vcylinder=πr2hV_{sphere}=\tfrac{4}{3}\pi r^3 \qquad V_{cylinder}=\pi r^2 h

Pick a figure, enter the dimensions — you get all the quantities at once. Results are in units matching the input (area in square units, volume in cubic units).

Examples

Circle of radius r = 5
→ area = 25π ≈ 78.54, perimeter = 10π ≈ 31.42
Sphere of radius r = 3
→ volume = 36π ≈ 113.1, surface area ≈ 113.1

Frequently asked questions

What is the difference between area and volume?+

Area measures a surface (square units, e.g. cm²); volume measures the space a solid occupies (cubic units, e.g. cm³). Plane figures have area and perimeter; solids have surface area and volume.

How do I compute the surface area of a cylinder?+

It is the two bases (2πr²) plus the lateral surface (2πrh), together 2πr(r+h). The calculator also reports the lateral area on its own.

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