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Radius and Diameter Calculator

Circle Formulas:

\[ \text{Radius} = \frac{\text{Diameter}}{2} \] \[ \text{Diameter} = 2 \times \text{Radius} \]

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1. What are Radius and Diameter?

The radius of a circle is the distance from its center to any point on its edge. The diameter is the longest distance from one point on a circle through the center to another point, equal to twice the radius.

2. How Does the Calculator Work?

The calculator uses these simple formulas:

\[ \text{Radius} = \frac{\text{Diameter}}{2} \] \[ \text{Diameter} = 2 \times \text{Radius} \]

Explanation: These formulas show the direct relationship between radius and diameter in any circle.

3. Importance of Radius and Diameter

Details: Knowing either the radius or diameter is essential for calculating other circle properties like circumference, area, and for applications in engineering, architecture, and physics.

4. Using the Calculator

Tips: Select whether you want to calculate radius from diameter or vice versa, enter the known value (must be positive), and click calculate.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for spheres too?
A: Yes, the same formulas apply to the radius and diameter of spheres.

Q2: What units should I use?
A: Any consistent unit (mm, cm, m, inches, etc.) can be used as long as input and output are in the same units.

Q3: Is diameter always twice the radius?
A: Yes, by definition in Euclidean geometry, the diameter is always exactly twice the radius for any circle.

Q4: Which is more commonly used?
A: It depends on the application. Radius is often used in formulas, while diameter is commonly used in measurements.

Q5: How precise should my measurements be?
A: For practical purposes, 2-3 decimal places are usually sufficient, but use more for precision engineering.

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