1. What is the Radius from Area Formula?

The radius from area formula calculates the radius of a circle when you know its area. It's derived from the basic area of a circle formula by solving for the radius.

2. How Does the Calculator Work?

The calculator uses the radius formula:

Where:

• \( r \) — Radius (length units)
• \( A \) — Area (square length units)
• \( \pi \) — Pi, approximately 3.14159 (unitless)

Explanation: The formula takes the area, divides it by pi, and then takes the square root of that result to find the radius.

3. Importance of Radius Calculation

Details: Calculating radius from area is essential in geometry, engineering, and physics when you need to determine the size of a circular object from its area measurement.

4. Using the Calculator

Tips: Enter the area in square units (must be positive). The calculator will return the radius in linear units.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use any consistent units - if area is in cm², radius will be in cm. The units must be squared for area.

Q2: Why do we divide by pi?
A: Because the area of a circle is πr², so to solve for r we first divide by π before taking the square root.

Q3: What if I get an error?
A: Make sure you entered a positive number. Negative areas or zero will not work with this formula.

Q4: How precise is this calculation?
A: The calculator uses pi to 15 decimal places for maximum accuracy.

Q5: Can this be used for spheres?
A: No, this is for circles. For spheres, you would need the surface area formula (4πr²) instead.