- Excel Version
- 365
- 2019
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- 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.
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.
| Circle Segments.xlsx | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | B | C | D | E | F | G | H | I | J | K | L | |||
| 16 | ||||||||||||||
| 17 | ||||||||||||||
| 18 | ||||||||||||||
| 19 | ||||||||||||||
| 20 | Area (segment) | 18.88 sq units | ||||||||||||
| 21 | R | radius | ||||||||||||
| 22 | c | chord or secant, termini a and b | ||||||||||||
| 23 | h | sagitta at perpendicular bi-secter of c | ||||||||||||
| 24 | d | apothem (= R-h) | θ | 112.9° | ||||||||||
| 25 | s | arc ab | ||||||||||||
| 26 | θ | central angle a.center.b | ||||||||||||
| 27 | ||||||||||||||
| 28 | ||||||||||||||
| 29 | ||||||||||||||
| 30 | c | 10.00 | ||||||||||||
| 31 | h | 2.68 | R | 6.00 | s | 11.82 | ||||||||
| 32 | ||||||||||||||
CircleSeg | ||||||||||||||
| Cell Formulas | ||
|---|---|---|
| Range | Formula | |
| I20 | I20 | =F31^2/2*(I24*PI()/180-SIN(I24*PI()/180)) |
| I24 | I24 | =2*ASIN(C30/(2*F31))*180/PI() |
| F31 | F31 | =C31/2+C30^2/(8*C31) |
| I31 | I31 | =ASIN((C30/(C31+C30^2/(4*C31))))*(C31+C30^2/(4*C31)) |
