Given ZY = 26
To find the length of the diameter of circle X.
From the figure shown, it can be observed that ZY is the radius of circle Y.
If ZY is the radius of circle Y, the diameter of circle Y is ZX, which is twice the radius of circle Y.
[tex]\begin{gathered} ZX=2\times ZY \\ ZY=26 \\ ZX=2\times26 \\ ZX=52 \end{gathered}[/tex]
ZX is the radius of the circle X.
If ZX is the radius of circle X, the diameter of circle X would be twice the radius of circle X.
[tex]\begin{gathered} D_{\text{circel X}}=2\times ZX \\ ZX=52 \\ D_{\text{circle X}}=2\times52 \\ D_{\text{circle X}}=104 \end{gathered}[/tex]
Hence, the length of the diameter of circle X is 104 units
