Circle Area and Mulch Volume Calculator

Calculate Mulch Volume for a Circle Area





Formula

The formula to calculate the area of a circle is:

\[ \text{Area} = \pi \times \left(\frac{\text{Diameter}}{2}\right)^2 \]

The formula to calculate the volume is:

\[ \text{Volume} = \text{Depth} \times \text{Area} \]

The formula to convert volume to cubic yards is:

\[ \text{Volume in Cubic Yards} = \frac{\text{Volume}}{27} \]

Definition

The area of a circle is calculated using the diameter. The volume is calculated by multiplying the area by the depth. The volume in cubic yards is obtained by dividing the volume in cubic feet by 27.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \text{Area} = \pi \times \left(\frac{6}{2}\right)^2 = 28.27431 \text{ square feet} \]

Calculating the volume:

\[ \text{Volume} = 2 \times 28.27431 = 56.54862 \text{ cubic feet} \]

Converting to cubic yards:

\[ \text{Volume in Cubic Yards} = \frac{56.54862}{27} \approx 2.093 \text{ cubic yards} \]

The volume is approximately 2.093 cubic yards.