The ferris wheel has a radius of 70 feet. the distance between the wheel and the ground is 4 feet. the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel. write the equation of the circular wheel. (justify)

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The equation of the circular wheel is .

Step-by-step explanation:

Given :

Radius of Ferris wheel r = 70 feet.

The distance between the wheel and the ground = 4 feet.

Also, the rectangular coordinate system shown has its origin on the ground directly below the center of the wheel.

So the x coordinate of center of wheel must  be 0 , and y coordinate = 70 + 4 = 74

Thus, Coordinates of center = (0,74)

The equation of circle is given by :-

Now center (h,k) = (0,74) and r = 70 , we get

Hence, the equation of the circular wheel is .

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