Metric Oval-Shaped Slab Concrete Volume

Calculator For Ovals

The Oval-Shaped Slab Concrete Volume Calculator-Metric allows you to determine an oval slab's area, perimeter, and concrete volume with dimensions in metric units. Enter the major and minor diameters (in metres) and depth (in centimetres) to calculate the slab's area in square meters, perimeter in meters, and volume in cubic meters, cubic feet, and cubic yards. This tool is ideal for construction planning, helping you estimate the concrete needed for oval slabs.

Oval Slab Concrete Volume - Metric

Diameter A: m
Diameter B: m
Depth: cm

Results:

Area: m²
Perimeter: m
Cubic Meters m³
Cubic Yards: ft³
Cubic Meters: yd³

Calculator

  1. diameter A: major axis (longest diameter) of the oval in metres
  2. diameter B: minor axis (shortest diameter) of the oval in metres
  3. the depth or thickness of the slab in centimetres

Results

  1. the area of the slab in square metres
  2. the perimeter of the slab in lineal metres
  3. the amount of concrete needed in cubic metres
  4. concrete needed in cubic feet
  5. required concrete in cubic yards

Conversions
cubic metre (m³) = 35.3146667214886 cubic feet (ft³)
cubic metre (m³) = 1.30795061931439 cubic yards (yd³)

Formula and Example Calculation

Diameter A (major axis): 3 metres
Diameter B (minor axis): 2 metres
Depth: 10 centimetres
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 * 3 ÷ 2 * 2 ÷ 2
A =  3.1416 * 1.5 * 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 = 3 / 2 = 1.5 metres
Radius b = Diameter B / 2 = 2 / 2 = 1 metres

h = ((1.5 - 1) ÷(1.5 + 1))²
h = (.5 ÷2.5)² = 0.04 0.12
P = 3.1416 * (1.5 + 1) * (1 + 3 * 0.04÷(10 + √4 - 3 * 0.04)
P = 7.85 * (1 + 0.12 ÷11.12)
P = 7.85 * 1.01079 = 7.9347 metres
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:
4.712 * 0.1 = 0.4712 cubic metres
0.4712 * 35.3146667214886 = 16.64 cubic feet
0.4712 * 1.30795061931439 = 0.616 cubic yards
Results
Area:4.7124 square meters
Perimeter:7.925 meters
Concrete Volume:
Cubic Meters: 0.4712
Cubic Feet: 16.64
Cubic Yards:0.62

When Ordering Concrete

This concrete calculator will help you in estimating the amount of concrete needed for your project. The amount given as needed, does not include any waste. It is recommended, depending on the job you are doing, to add anywhere from an extra 4% to 10% to your concrete order to make sure you have enough concrete to finish the job. Ask when ordering the concrete. They will be able to give you a good idea of what is needed.

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