Use our free online Arch Calculator to quickly determine key dimensions of a circular arch like its span, rise, radius, and arc length. Essential for architectural design, construction, and DIY projects, ensuring accuracy and saving time on complex calculations.
Formula:
For a circular arch, given the Span (S) and Rise (H):
- Radius (R):
R = (S² + 4H²) / (8H) - Central Angle (α in radians):
α = 2 × arcsin(S / (2R)) - Arc Length (L):
L = R × α
Where:
- Span (S): The horizontal distance between the arch supports.
- Rise (H): The vertical distance from the spring line (line connecting supports) to the highest point of the arch.
- Radius (R): The radius of the circular arc.
- Arc Length (L): The total length of the curved arch itself.