Answer:
[tex]12m[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \displaystyle (x - 7 {)}^{2} + (y - 6 {)}^{2} = 36[/tex]
since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation
[tex] \displaystyle {r}^{2} = 36[/tex]
square root both sides:
[tex] \displaystyle {r}^{} = 6[/tex]
remember that,
[tex]\displaystyle d = 2r[/tex]
thus substitute the value of r:
[tex]\displaystyle d = 2.6[/tex]
simplify multiplication:
[tex]\displaystyle d = 12[/tex]
hence,
the diameter of the Ferris Wheel is 12m