Arch Calculator
Planning an arch for a doorway, bridge, window, masonry structure, or framing project requires accurate measurements. This tool helps you estimate arch height, radius, and arc length quickly and accurately for construction and design applications.
What Is an Arch?
An arch is a curved structural element commonly used in construction, architecture, bridges, doors, and decorative framing. Arches distribute loads efficiently and provide both structural strength and aesthetic appeal.
How Arch Measurements Work
To design an accurate arch, builders commonly calculate:
- Span Width
- Rise Height
- Radius
- Arc Length
- Center Angle
These measurements help ensure proper material estimation and structural precision.
Formula Used
The following formulas are commonly used in arch calculations:
Radius Formula:
R = (Rise² + (Span² / 4)) ÷ (2 × Rise)
Arc Length Formula:
Arc Length = Radius × Central Angle
Common Uses
- Brick and masonry arches
- Doorway arch framing
- Bridge construction
- Decorative architectural designs
- Woodworking projects
- Garden arch structures
Arch Measurement Reference Table
| Span Width | Rise Height | Approx Radius |
|---|---|---|
| 6 ft | 1 ft | 5 ft |
| 8 ft | 2 ft | 5 ft |
| 10 ft | 2.5 ft | 6.25 ft |
| 12 ft | 3 ft | 7.5 ft |
Benefits of Accurate Arch Planning
Proper arch calculations help reduce construction errors, improve structural integrity, minimize material waste, and ensure professional project results.
Frequently Asked Questions
What is arch span?
The span is the horizontal distance between the two ends of the arch.
What is rise height?
Rise height is the vertical distance from the base line to the highest point of the arch.
Why is radius important?
The radius determines the curvature and shape of the arch.
Can this tool be used for masonry arches?
Yes, it is useful for masonry, framing, bridge, and architectural arch projects.
