1. What is the Diameter From Chord Calculation?

The diameter from chord calculation is a geometric formula used to determine the diameter of a circle when given the chord length and the sagitta (the height from the chord to the arc). This is particularly useful in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the diameter formula:

Where:

• \( D \) — Diameter (m or ft)
• \( Chord \) — Chord length (m or ft)
• \( h \) — Sagitta (height from chord to arc) (m or ft)

Explanation: The formula derives from the geometric properties of circles and the Pythagorean theorem, providing an accurate diameter measurement.

3. Importance of Diameter Calculation

Details: Accurate diameter calculation is essential in fields like construction, manufacturing, and design where precise circular measurements are required for components, structures, and layouts.

4. Using the Calculator

Tips: Enter the chord length and sagitta in consistent units (either meters or feet). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is sagitta in circle geometry?
A: Sagitta is the perpendicular distance from the midpoint of a chord to the arc of the circle.

Q2: Can this formula be used for partial circles?
A: Yes, this formula works for any circular segment where you know the chord length and sagitta.

Q3: What are the measurement units for this calculation?
A: The calculator works with any consistent units (meters, feet, etc.) as long as both inputs use the same unit system.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect circles, providing precise diameter measurements.

Q5: What practical applications use this calculation?
A: This calculation is used in architecture, bridge design, pipe manufacturing, and any application involving circular measurements.