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
 

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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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