1. What is Radius of Circle?

The radius of a circle is the distance from the center of the circle to any point on its circumference. It is a fundamental measurement in geometry and is used in many mathematical calculations involving circles.

2. How Does the Calculator Work?

The calculator uses the radius formula:

Where:

• \( Circumference \) — Distance around the circle (in meters)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The radius is calculated by dividing the circumference by 2π, since the circumference formula is \( C = 2\pi r \).

3. Importance of Radius Calculation

Details: Knowing the radius of a circle is essential for many geometric calculations, including area calculation, arc length determination, and in various engineering and design applications.

4. Using the Calculator

Tips: Enter the circumference in meters. The value must be positive. The calculator will compute the radius in meters.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for circumference?
A: The calculator uses meters, but you can use any unit as long as you're consistent - the radius will be in the same units.

Q2: How precise is this calculation?
A: The calculation is mathematically exact, though the result is rounded to 4 decimal places for display.

Q3: Can I calculate diameter from this?
A: Yes, diameter is simply twice the radius (Diameter = 2 × Radius).

Q4: What if I know the area instead of circumference?
A: The radius can also be calculated from area using \( r = \sqrt{Area/\pi} \).

Q5: Why is π important in circle calculations?
A: π (pi) is the fundamental constant that relates a circle's circumference to its diameter, appearing in all circle-related formulas.