Enter the dish width and the dish depth into the Dish Radius Calculator to find the dish radius (radius of curvature). Here, dish width is the rim-to-rim width (the chord length), and dish depth is the depth from the rim line (chord) to the deepest point (the sagitta).
- All Math and Numbers Calculators
- Disc Volume Calculator
- Arc Height (Sagitta) Calculator
- Chord to Radius Calculator
- Arc Length Calculator
- Circle Volume Calculator
Dish Radius Formula
The following two example problems outline the steps and information needed to calculate the Dish Radius (radius of curvature) from the dish width (chord length) and dish depth (sagitta).
DR=\frac{(DW/2)^2+DD^2}{2\,DD}Variables:
- DR is the Dish Radius (radius of curvature) (in)
- DW is the dish width (chord length at the rim) (in)
- DD is the dish depth (sagitta: distance from the rim line/chord to the deepest point) (in)
How to Calculate Dish Radius?
The following steps outline how to calculate the Dish Radius.
- First, determine the dish width (DW) (in).
- Next, determine the dish depth (DD) (in).
- Next, gather the formula from above: DR = ((DW/2)2 + DD2) / (2 × DD).
- Finally, calculate the Dish Radius (DR).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
dish width (in) = 10
dish depth (in) = 2
DR = ((DW/2)2 + DD2) / (2 × DD) = ((10/2)2 + 22) / (2 × 2) = (25 + 4) / 4 = 7.25 in
