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

Answer:

$12m$

Step-by-step 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

Answer 2

Answer :

Diameter of the Ferris Wheel is :

$\large \boxed {\boxed{12 \: \: m}}$

Solution :

The given equation is :

$\hookrightarrow(x - 7) {}^{2} + (y - 6) {}^{2} = 36$

And it represents a ferris wheel plan, where

• $r {}^{2} = 36$

( " r " represents the Radius of the ferris wheel )

Now, let's solve for r ;

$\longrightarrow \: r = \sqrt{36}$

$\longrightarrow \: r = 6 \: m$

• Diameter = 2 × Radius

• Diameter = 2 × 6

• Diameter = 12 meters

$\mathrm{✌TeeNForeveR✌}$