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DRSteele

Radius of a circle segment

Excel Version
  1. 365
  2. 2019
  3. 2016
  4. 2013
  5. 2011
  6. 2010
  7. 2007
If you need to ascertain the radius of something circular and all you have is a segment, you can use this spreadsheet to do so. Just take two measurements and put them into the two cells and the spreadsheet will reckon the radius, as well as some other trigonometric stats.

Here is a photo of the spreadsheet. Included below is the mini-sheet with the formulas. For those who wish to download the .xls spreadsheet, it is here in OneDrive.

Screenshot 2021-12-20 152031.jpg


Circle Segments.xlsx
ABCDEFGHIJKL
16
17
18
19
20Area (segment)18.88 sq units
21Rradius
22cchord or secant, termini a and b
23hsagitta at perpendicular bi-secter of c
24dapothem (= R-h)θ112.9°
25sarc ab
26θcentral angle a.center.b
27
28
29
30c10.00
31h2.68R6.00s11.82
32
CircleSeg
Cell Formulas
RangeFormula
I20I20=F31^2/2*(I24*PI()/180-SIN(I24*PI()/180))
I24I24=2*ASIN(C30/(2*F31))*180/PI()
F31F31=C31/2+C30^2/(8*C31)
I31I31=ASIN((C30/(C31+C30^2/(4*C31))))*(C31+C30^2/(4*C31))
Author
DRSteele
Views
919
First release
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