1. What is the Radius of a Circle?

The radius of a circle is the distance from the center of the circle to any point on its circumference. It is half of the diameter and is a fundamental measurement in circle geometry.

2. How Does the Calculator Work?

The calculator uses the radius formula:

Where:

• \( r \) — Radius of the circle
• \( d \) — Diameter of the circle

Explanation: The radius is always exactly half the length of the diameter, regardless of the circle's size.

3. Importance of Radius Calculation

Details: Knowing the radius is essential for calculating other circle properties like circumference, area, and for solving many geometric problems involving circles.

4. Using the Calculator

Tips: Enter the diameter in any units (must be greater than 0). The result will be in the same units as the input.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between radius and diameter?
A: The diameter is the longest distance across a circle, while the radius is half that distance.

Q2: Can I calculate diameter from radius?
A: Yes, simply multiply the radius by 2 to get the diameter.

Q3: What units should I use?
A: Any consistent units can be used (cm, inches, meters, etc.) as long as the input and output use the same units.

Q4: Is the radius always half the diameter?
A: Yes, this is a fundamental property of circles in Euclidean geometry.

Q5: How precise should my measurement be?
A: For most practical purposes, 2-4 decimal places are sufficient, but the calculator can handle more precise inputs.