A circular area with an extra allowance
Estimate a 3-inch sand layer inside an 8 ft diameter circle. Add a 5% allowance and compare the volume with 0.5-cubic-foot bags.
- Circle diameter
- 8 ft
- Layer depth
- 3 inches
- Extra allowance
- 5%
- Volume per bag
- 0.5 cu ft
- Example bag price
- $5.00 USD
-
Calculate the circular coverage area
Radius: 8 ÷ 2 = 4 ft
π × 4² ≈ 50.27 sq ft -
Convert depth and calculate volume
3 ÷ 12 = 0.25 ft
π × 4² × 0.25 ≈ 12.57 cu ft -
Include the selected allowance
4π × 1.05 = 4.2π ≈ 13.19 cu ft
-
Round up bags and calculate cost
4.2π ÷ 0.5 ≈ 26.39 → 27 bags
27 × $5.00 = $135.00 USD
These bags supply 13.5 cubic feet. No bulk density is needed because the bag size is stated by volume.