Geometrical calcs

RichLear

New Member
Joined
Jul 18, 2023
Messages
2
Office Version
  1. 365
Platform
  1. Windows
Hi all, this is maybe a bit of an odd one. I have three points, each of which has an X and Y coordinate associated with it. They are around 50m apart. From each of the three points I will measure a range, effectively putting a circle of a measured radius around each of the points. I want to calculate the X and Y position of the intersect of the three circles. I could do it using something like AutoCAD but was hoping to be able to use Excel. Could anyone point me in the right direction? Thanks very much
 

Excel Facts

Format cells as currency
Select range and press Ctrl+Shift+4 to format cells as currency. (Shift 4 is the $ sign).
Stole the formula from stack exchange:

MrExcelPlayground18.xlsx
BCDEFGH
1xyrIntersection
20026.931025
3401033.54
4252615.03
5
61025
Sheet24
Cell Formulas
RangeFormula
D2:D4D2=SQRT((C2-$H$2)^2+(B2-$G$2)^2)
B6B6=-((C3-C4)*((C3^2-C2^2)+(B3^2-B2^2)+(D2^2-D3^2))-(C2-C3)*((C4^2-C3^2)+(B4^2-B3^2)+(D3^2-D4^2)))/(2*((B2-B3)*(C3-C4)-(B3-B4)*(C2-C3)))
C6C6=-((B3-B4)*((B3^2-B2^2)+(C3^2-C2^2)+(D2^2-D3^2))-(B2-B3)*((B4^2-B3^2)+(C4^2-C3^2)+(D3^2-D4^2)))/(2*((C2-C3)*(B3-B4)-(C3-C4)*(B2-B3)))
 
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