Imagine the center of the ferris wheel is located at (0,0) on a coordinate grid, and the radius lies on the x-axis. write an equation of a circle for your ferris wheel, and sketch an image of what your ferris wheel would look like on the grid.

Circle equation is given in the form of (x-a)² + (y-b)² = r², where: (a, b) is the centre of the circle and r is the radius.

one example of a circle with centre (0, 0) is shown in the diagram below. let the radius be 5, the equation of the circle is (x-0)² + (y-0)² = 5², which simplifies to

x² + y² = 25

The general equation of a circle
(x-x0)^2+(y-y0)^2=r^2

if the center is (0; 0), so x0=0 and y0=0

our circle have equation: x^2+y^2=r^2