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Arch (Bridge)

Calculations at an arch or a bridge. In this case, this is a cuboid with a semicircle-based cylinder, a half cylinder, as an opening.
Enter length, height and depth of the cuboid and the radius of the semicircle. Choose the number of decimal places, then click Calculate. h>r and l>2r must apply.


Euclid Length cuboid (l): Arch bridge
Height cuboid (h):
Depth cuboid (t):
Radius semicircle (r):
Surface area (A):
Volume (V):
Surface-to-volume ratio (A/V):
Round to    decimal places.



Formulas:

A=lt+2ht+2t(h-r)+2(hl-π2r2)+πrt
V=(hl-π2r2)t
pi: π=3.141592653589793...

Length, height, depth and radius have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.



Last updated on 03/30/2026.

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Cite this page: Rechneronline (2026) - Arch (Bridge).
Retrieved on 2026-04-22 from https://rechneronline.de/pi/arch.php




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