Circle, Sphere: Contact | Fill Level

Fill Level Calculator Circle and Sphere


Calculates, to how many percent a circle or sphere is filled at a given fill height. Please enter the radius and the fill height. The fill level will be calculated, this is the percentual value of the filling. The fill height can be twice the radius at the most, in this case, the fill level is 100 percent.

Partly filled circle

Fill height:
Fill level:%

Round to    decimal places.

Example: a circle with the radius 1 and the fill height 0.77 (see image above) is filled to 35.5 percent. A sphere with these values is filled to 33 percent.

For the formulas to calculate this, see the calculators for circle, circular segment, sphere and spherical cap. Webprojects | Imprint & Privacy | German: Berührung Kugel - Hindernis