Radius Of A Sphere Calculator | Formula

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How to find the radius of a sphere? Actually, there are many varied answers to that question because it depends on what we know about a specific sphere. Below, we have provided an exhaustive set of the radius of a sphere formula:

  1. Given diameter: r=d/2r = d / 2,
  2. Given area: r=A/(4×π)r = \sqrt{A / (4 \times π)},
  3. Given volume: r=3×V/(4×π)3r = \sqrt[3]{3 \times V / (4 \times π)},
  4. Given surface to volume ratio: r=3/(A/V)r = 3 / (A/V).

Our radius of a sphere calculator uses all of the above equations simultaneously, so you need to enter just one chosen quantity. Moreover, you can freely change the units (SI and imperial units). Check out our length conversion to learn how to switch between different units of length!

Derivation of the above radius of sphere formulas is, in fact, straightforward. You need to make some algebraic transformations using the following basic equations:

  1. Diameter of a sphere: d=2×rd = 2\times r;
  2. Surface area of a sphere: A=4×π×r2A = 4 \times π \times r^2;
  3. Volume of a sphere: V=4/3×π×r3V = 4/3 \times π \times r^3; and
  4. Surface to volume ratio of a sphere: A/V=3/rA / V = 3 / r.

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