The equation (x-7)^2 + (y - 6)^2 = 36 represents a Ferris wheel plan displayed on a grid, where each unit represents 1 meter. What is the diameter of the Ferris Wheel? ​

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Nayefx

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