Skip to content
Math Calculators

Sphere Radius from Surface Area Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
Verified formula Private

Radius

4.999998

Diameter
10.0000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Sphere Radius from Surface Area Calculator

The Sphere Radius from Surface Area Calculator works out your radius, along with 1 related figure in an instant. Enter surface area and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the surface area.
  2. Read off your radius, together with diameter — the calculator updates automatically, with no button to press.

Formula

The Sphere Radius from Surface Area Calculator uses the formula:

Radius = √(Surface area ÷ (4 × 3.141592653589793))

Worked example

For example, with surface area of 314.159, the radius is 4.999998.

Inputs used
Surface area 314.159
Results
Radius 4.999998
Diameter 10.0000

Results are estimates for educational use, not professional advice.

Key terms explained

Surface area
The total area of all the outer faces of a three-dimensional object.
Diameter
The distance across a circle through its centre — twice the radius.
Radius
The distance from the centre of a circle or sphere to its edge.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Divide the area by 4π and take the square root. A surface area of 314.16 gives a radius of 5.

Radius = √(area ÷ 4π), the inverse of the surface area formula 4πr².

Double the radius. The calculator shows both.

When you know a sphere's outer area, such as material to coat it, and need its size.

Enter the surface area. Read off your radius, together with diameter — the calculator updates automatically, with no button to press.

Related calculators