1. What is a Crushed Stone Calculator Square Feet of a Circle?

Definition: This calculator estimates the area, volume, and weight of crushed stone needed for a circular area based on the radius, depth, and material density.

Purpose: It assists contractors, homeowners, and landscapers in determining the amount of crushed stone required for circular driveways, patios, or garden beds, aiding in material ordering and cost estimation.

2. How Does the Calculator Work?

The calculator performs the following calculations:

Where:

• \( \text{Area (sq ft)} \) — Area of the circular region in square feet
• \( \text{Volume (cu yd)} \) — Volume of crushed stone in cubic yards
• \( \text{Weight (tons)} \) — Weight of the crushed stone in tons
• \( \text{Radius (ft)} \) — Radius of the circular area in feet
• \( \text{Depth (ft)} \) — Depth of the crushed stone layer in feet
• \( \text{Density (tons/cu yd)} \) — Density of the crushed stone, typically \(\approx 1.35 \, \text{tons/cu yd}\)

Explanation: The area is calculated using the radius squared times π. The area is then multiplied by the depth and divided by 27 to get the volume in cubic yards. Finally, the volume is multiplied by the density to determine the weight in tons.

3. Importance of Crushed Stone Calculation for Circular Areas

Details: Accurate calculation of area, volume, and weight for circular areas ensures proper material estimation, prevents shortages or excess, and optimizes costs for projects like circular driveways or patios.

4. Using the Calculator

Tips: Enter the radius (must be > 0), depth (must be > 0, typically 0.333 ft for 4 inches), and density (must be > 0, default is 1.35 tons/cu yd). The calculator computes the area in square feet, volume in cubic yards, and weight in tons, rounded to 3 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: Why are results in square feet, cubic yards, and tons?
A: Square feet measure the circular area, cubic yards measure volume for planning, and tons measure weight for ordering and transportation.

Q2: How do I measure the radius?
A: Measure the distance from the center of the circular area to its edge in feet.

Q3: How do I determine the depth?
A: Typical depth is 4–6 inches (0.333–0.5 ft) for driveways or bases. Convert inches to feet by dividing by 12.

Q4: Is the 1.35 tons/cu yd density accurate?
A: It’s an average for crushed stone. Actual density may vary (1.2–1.6 tons/cu yd); check with your supplier.

Q5: Does this include waste or compaction?
A: No, this is a base calculation. Add 10–20% extra volume to account for compaction and waste.