Calculate the amount of concrete you need in cubic feet and yards for a footing or slab in the shape of a donut.
Note: this is a circular area with a circular hole on the inside, not a torus!!
To calculate the concrete volume needed for this type of slab, you need to know the outer diameter of the circle, the inner diameter, and the required slab depth.
A = π * D² ÷ 4 where A is the area in square feet π = 3.14159265358979 D = outer diameter of the circle
P = π * D ÷ where P is the perimeter in feet p = 3.14159265358979 D = diameter of the circle
V = π * D² ÷ 4 * (d ÷ 12) where V is the volume in cubic feet p = 3.14159265358979 D = diameter of circle d = depth of slab in inches
outer diameter = 24 feet inner diameter = 22 feet depth of slab = 4 inchesCalculate the total volume first, then the inside area volume, and subtract this from the total volume;
3.14159265358979 * 24 * 24 ÷ 4 * ( 4 ÷ 12) = 150.796
The donut's total volume is 150.796 cubic feet.
3.14159265358979 * 22 * 22 ÷ 4 * ( 4 ÷ 12) = 126.711
The volume of the inner circle is 126.711cubic feet
150.796 - 126.711 = 24.1
You need 24.1 cubic feet of concrete for this footing.