1. What is the Radius of Quarter Circle?

The radius of a quarter circle is the length of the line joining the center and any point on the curved edge of the quarter circle. It is a fundamental measurement in circular geometry.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of Quarter Circle (m)
• \( DCircle \) — Diameter of Circle of Quarter Circle (m)

Explanation: The radius is exactly half of the diameter of the original circle from which the quarter circle is derived.

3. Importance of Radius Calculation

Details: Calculating the radius is essential for determining various properties of the quarter circle, including circumference, area, and arc length. It serves as a fundamental parameter in geometric calculations.

4. Using the Calculator

Tips: Enter the diameter of the original circle in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between radius and diameter?
A: The radius is exactly half of the diameter in any circle or circular segment.

Q2: Can this calculator be used for full circles?
A: Yes, the radius-diameter relationship is the same for full circles and quarter circles.

Q3: What units should I use?
A: The calculator uses meters, but you can use any consistent unit of length as long as you maintain consistency.

Q4: How precise should my measurement be?
A: For accurate results, measure the diameter as precisely as possible, especially for small circles.

Q5: What if I have the circumference instead of diameter?
A: You would need to use a different formula: r = circumference/(2π) to find the radius first.