Square Footage Formula:
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This calculator determines the square footage of a circular area when you know its circumference. It uses the mathematical relationship between circumference and area of a circle.
The calculator uses the formula:
Where:
Explanation: This formula is derived from the standard circle area formula (A = πr²) and the circumference formula (C = 2πr) by solving for radius and substituting.
Details: Calculating square footage from circumference is essential in construction, landscaping, flooring installation, and any project involving circular areas where you need to determine the total surface area.
Tips: Enter the circumference measurement in feet. The value must be greater than zero. The calculator will automatically compute the corresponding square footage.
Q1: Why use this formula instead of measuring diameter?
A: This method is useful when you only have the circumference measurement available, which is often easier to measure directly for circular objects or areas.
Q2: What are common applications of this calculation?
A: Calculating flooring materials for circular rooms, determining lawn area for circular gardens, estimating paint coverage for circular surfaces, and planning circular construction projects.
Q3: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your circumference measurement.
Q4: Can this be used for other units besides feet?
A: Yes, as long as you use consistent units throughout (e.g., inches for both circumference and area).
Q5: What if I have the diameter instead of circumference?
A: If you have diameter, use the standard area formula: Area = π × (diameter/2)²