Sphere Surface Area Calculator

Work out sphere surface area instantly with clear inputs, formula shown and shareable results.

About Sphere Surface Area Calculator

A sphere's surface area is 4πr², exactly four times the area of its great circle — a result Archimedes proved and asked to have carved on his tomb.

Formulas

Surface area

S = 4πr² = πd²

Great circle

A = πr²

Worked example

With the default values below, Sphere Surface Area Calculator returns Surface area of 314.1593. Change any input above and every figure here is recalculated in your browser.

Inputs used

Input givenone of Radius, Diameter: Radius
Valueminimum 0: 5

Results

Surface area: 314.1593
Great-circle area: 78.5398
Great-circle circumference: 31.4159
Volume: 523.5988

Step by step

1Values used
2Surface area
3Great circle
4Surface area= 314.1593
5Great-circle area= 78.5398
6Great-circle circumference= 31.4159
7Volume= 523.5988

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Radius 5?

4π × 25 = 100π ≈ 314.159265 square units.

Is S = πd² equivalent?

Yes. Substituting r = d/2 into 4πr² gives πd².