Question

A Ferris wheel has a diameter of 100 feet. The highest point of the wheel is 125 feet. The y-axis represents the center of the wheel. Write the standard form equation of the circle.

Answer 1

Answer: $x^2+(y-125)^2=2500$

Step-by-step explanation:

Given: The diameter of the Ferris wheel= 100 feet

therefore, the radius of the Ferris wheel= 50 feet

Also, the highest point of the wheel is 125 feet.

Since , y axis represents the center of the wheel.

The center of the wheel= (0,125)

The equation of circle with center (h,k) and radius 'r' is given by :

$(x-h)^2+(y-k)^2=r^2$

Thus, the equation of the circle with center (0,125) and radius=50 is given by :-

$(x-0)^2+(y-125)^2=(50)^2\\\Rightarrow\ x^2+(y-125)^2=2500$