1. What is the Radius of Cylinder given Base Area?

The radius of a cylinder given its base area is calculated by finding the square root of the base area divided by π. This formula derives from the area of a circle formula, since the base of a cylinder is circular.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Base Area — Area of the circular base of the cylinder
• π — Mathematical constant approximately equal to 3.14159

Explanation: The formula reverses the standard area of a circle calculation to find the radius when the area is known.

3. Importance of Radius Calculation

Details: Calculating the radius from base area is essential in various engineering, architectural, and mathematical applications where cylinder dimensions need to be determined from known measurements.

4. Using the Calculator

Tips: Enter the base area of the cylinder in square units. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why do we divide by π in the formula?
A: Since the area of a circle is πr², to find the radius we need to reverse this calculation by dividing the area by π and then taking the square root.

Q2: What units should I use for the base area?
A: Use consistent square units (e.g., cm², m², in²). The radius result will be in the corresponding linear units.

Q3: Can this calculator be used for other circular shapes?
A: Yes, this formula applies to any circular shape, not just cylinder bases, as it calculates the radius from the area of any circle.

Q4: What if I get an error or unexpected result?
A: Ensure you've entered a positive number for the base area. Negative values or zero will not produce valid results.

Q5: How precise is the calculation?
A: The calculator uses the PHP constant M_PI which provides π with approximately 14 decimal places of precision, ensuring accurate results.