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How To Calculate Radius Using Diameter

Radius Formula:

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

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1. What is Radius?

The radius of a circle is the distance from its center point to any point on its circumference. It is one of the fundamental measurements of a circle and is used in many geometric calculations.

2. Radius-Diameter Relationship

The radius and diameter of a circle are directly related through this simple formula:

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

Where:

Explanation: The diameter is always exactly twice the length of the radius, making this conversion straightforward.

3. Practical Applications

Details: Knowing how to convert between radius and diameter is essential in construction, engineering, manufacturing, and any field that works with circular objects or measurements.

4. Using the Calculator

Tips: Simply enter the diameter measurement in any units, and the calculator will provide the radius in the same units. The diameter must be a positive number.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate diameter from radius?
A: Yes, simply multiply the radius by 2 (Diameter = 2 × Radius).

Q2: Are radius and diameter always in the same units?
A: Yes, they share the same units of measurement (cm, inches, meters, etc.).

Q3: Does this work for spheres too?
A: Yes, the radius-diameter relationship is the same for spheres as it is for circles.

Q4: What if I only know the circumference?
A: You can find radius from circumference using: Radius = Circumference / (2 × π).

Q5: Why is radius important in calculations?
A: Many circle formulas (like area = πr²) use radius rather than diameter, making radius often more useful in calculations.

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