Question

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)

Answer 1

`x^2+(y-74)^2=70^2`

Explanation:

The center of the circle is at point

(0, 70+4)=(0,74)

(4 feet above the ground is wheel and the radius of the wheel is 70 feet)

The radius of the circle = 70 ft (from the diagram).

Thus, the equation of the circle is

`(x-0)^2+(y-74)^2=70^2\\ \\x^2+(y-74)^2=70^2`