## Circumscribed Sphere Radius

A cube with a side length (S) of 6 has a circumscribed sphere with a radius (R) of 5.196.

## Circumscribed Sphere Radius Formula

for cubes with a side length S find the radius R of the circumscribed sphere

- R = S * (√3/2)

substitute the side length S with the measured value, in this example lets use a side length of 6

- R = 6 * (√3/2)

multiply the side length by half the square root of three

**R = 5.196**

Given a cube with a side length S the radius (R) of a sphere that circumscribes it will be equal to the Side length multiplied by half the square root of 3.

Half the square root of 3 is approximately 0.8660