1. What is the Radius of Round Corner?

The radius of a round corner is a radial line from the focus to any point of a curve. It represents the distance from the center of curvature to the arc of the rounded corner.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of Round Corner (m)
• \( A \) — Area of Round Corner (m²)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula calculates the radius of a quarter-circle (round corner) when the area is known, by rearranging the area formula for a quarter circle.

3. Importance of Radius Calculation

Details: Calculating the radius of round corners is essential in various engineering and architectural applications, including manufacturing, construction, and product design where rounded edges are required for safety, aesthetics, or functionality.

4. Using the Calculator

Tips: Enter the area of the round corner in square meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a round corner in geometric terms?
A: A round corner typically refers to a quarter of a circle, where the curved portion represents 90 degrees of arc from a full circle.

Q2: Why is the formula divided by (1/4)π?
A: The area of a quarter circle is A = (1/4)πr², so solving for radius gives r = √(A/((1/4)π)).

Q3: Can this calculator be used for full circles?
A: No, this specific formula is designed for quarter-circles (round corners). For full circles, use r = √(A/π).

Q4: What units should I use for the area input?
A: The calculator expects square meters, but you can use any consistent area unit as long as you interpret the radius result in the corresponding length unit.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, using the exact value of π for computation.