Question

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? ​

Answer 1

`12m`

Explanation:

we are given a circle equation

`\displaystyle (x - 7 {)}^(2) + (y - 6 {)}^(2) = 36`

since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation

`\displaystyle {r}^(2) = 36`

square root both sides:

`\displaystyle {r}^{} = 6`

remember that,

`\displaystyle d = 2r`

thus substitute the value of r:

`\displaystyle d = 2.6`

simplify multiplication:

`\displaystyle d = 12`

hence,

the diameter of the Ferris Wheel is 12m