Oval Slab Concrete Volume
The Oval Shaped Slab Concrete Volume Calculator provides quick and accurate calculations for an oval concrete slab. You can determine the area, perimeter, and concrete volume needed by entering the major and minor diameters (longest and shortest axes) along with slab depth. The tool calculates volume in cubic feet, cubic yards, and cubic metres to support different project needs.
Oval Slab Concrete Volume Calculator
Calculator
- diameter A: major axis (longest diameter) of the oval in feet
- diameter B: minor axis (shortest diameter) of the oval in feet
- the depth or thickness of the slab in inches
Results
- the area of the slab in square feet
- the perimeter of the slab in lineal feet
- the amount of concrete needed in cubic feet
- concrete needed in cubic yards
- required concrete in cubic metres
Conversions
one cubic foot (ft³)= 0.037037037037037 cubic yards (yd³) one cubic foot (ft³) = 0.028316846592 cubic metres (m³)
Formula and Example Calculation
Diameter A: 10 feet > radius = 5 feet Diameter B: 6 feet > radius = 3 feet Depth: 4 inches
Calculate the Area:
The area A of an oval can be found using the formula:
A = π * Diameter A / 2 * Diameter B / 2
A = π * 10 ÷ 2 * 6 ÷ 2 A = 3.1416 * 5 * 3 = 47.1239 square feet
Calculate the Perimeter:
The perimeter P of an oval can be approximated as:
P = π * (a+ b) * (1+ 3h / (10 + √4-3h))
where h = ((a-b) / (a+b))²
Radius a = Diameter A / 2 = 10 feet ÷ 2 = 5 feetRadius b = Diameter B / 2 = 6 feet ÷ 2 = 3 feet
h = ((10 - 6) ÷ (10 + 6))²
h = (4 ÷ 16)² = 0.0625
P = 3.1416 * (5 + 3) * (1 + 3 * 0.0625 ÷ (10 + √4 - 3 * 0.0625)
P = 25.1327 * (1 + 0.0625 ÷ 1.984)
P = 25.1327 * 1.0315 = 25.924 feet
Calculate the Volume of Concrete Needed:
The volume V of concrete is the area multiplied by the depth (converted to feet):
V = A * depth in feet
Convert depth from inches to feet:
Depth in feet = 4 ÷ 12 = 0.3333 feet
Calculate the Volume:
V = 47.1239 * 0.3333 = 15.706 cubic feet 15.706 * 0.037037037037037 = 0.5817 cubic yards 15.706 * 0.028316846592 = 0.4447 cubic metres
Results
Area: 47.12 square feet Perimeter: 25.9 feet Concrete Volume: Cubic Feet: 15.7 Cubic Yards: 0.58 Cubic Meters: 0.45