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Radius Calculator in Inches

Radius Formula:

\[ r = \frac{d}{2} \]

inches

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1. What is Radius?

The radius is a straight line from the center to the circumference of a circle. It is half the length of the diameter and is a fundamental measurement in circular geometry.

2. How Does the Calculator Work?

The calculator uses the radius formula:

\[ r = \frac{d}{2} \]

Where:

Explanation: The radius is simply calculated by dividing the diameter by 2.

3. Importance of Radius Calculation

Details: Knowing the radius is essential for calculating other circle properties like circumference, area, and for various engineering and construction applications.

4. Using the Calculator

Tips: Enter the diameter in inches. The value must be positive (diameter > 0).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between radius and diameter?
A: The diameter is the full length across the circle through the center, while the radius is half of that length.

Q2: Can I calculate diameter from radius?
A: Yes, diameter = 2 × radius.

Q3: What units does this calculator use?
A: This calculator works in inches, but the same formula applies to any unit of measurement.

Q4: Why is radius important in real-world applications?
A: Radius is used in calculating circular areas (like pizza sizes), wheel rotations, pipe diameters, and many engineering designs.

Q5: How precise should my diameter measurement be?
A: For most practical purposes, measuring to the nearest 1/8 inch (0.125 inches) is sufficient.

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