The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

Question

2 years ago

14

The Ferris wheel has a radius of 70 feet. The distance between the wheel and the ground is 4 feet. The rectangular coordinate sy

stem shown has its origin on the ground directly below the center of the wheel. Write the equation of the circular wheel. (JUSTIFY)

Mathematics

1 answer:

Gemiola [76] · Answer 1 · 2022-05-25T22:37:15+03:00

Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

h = 0
k = 74 (the radius + 4 ft.)
r = 70

So plugging those into the equation of circles, we get the answer above.