1. What is the Radius of Round Corner?

The Radius of 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)
• \( A_{\text{Missing Piece}} \) — Area of Missing Piece of Round Corner (m²)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the radius of a rounded corner based on the area of the missing piece when a square corner is rounded off.

3. Importance of Radius Calculation

Details: Calculating the radius of round corners is important in various engineering and design applications, including manufacturing, architecture, and product design, where rounded corners are used for both aesthetic and functional purposes.

4. Using the Calculator

Tips: Enter the area of the missing piece in square meters. The value must be greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What exactly is the "missing piece" area?
A: The missing piece area refers to the space that would be occupied by the corner if it were a perfect square, but is instead rounded off.

Q2: In what units should I input the area?
A: The calculator expects the area in square meters, but you can convert from other units as long as you maintain consistency.

Q3: Can this formula be used for any type of rounded corner?
A: This specific formula applies to quarter-circle rounded corners where the rounding follows a perfect circular arc.

Q4: What if I have the radius and want to find the missing area?
A: You can rearrange the formula: \( A_{\text{Missing Piece}} = r^2 \times (1 - \frac{1}{4}\pi) \)

Q5: Are there limitations to this calculation?
A: This calculation assumes a perfect quarter-circle rounding and may not be accurate for elliptical or other non-circular rounded corners.