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. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-03-23T13:42:03+01:00

The transformation needed to show that both circles on the graph are similar is dilation

The equation of a circle that has its center to be (0,0) is:

[tex]x^2 + y^2 = r^2[/tex]

Where r represents the radius of the circle.

The radius can take any positive value.

Assume r = 5, then the equation becomes

[tex]x^2 + y^2 = 5^2[/tex]

[tex]x^2 + y^2 = 25[/tex]

The above can represent the equation of the Ferris wheel

A circle similar to the Ferris wheel can have the following equation

[tex]x^2 + y^2 = 7^2[/tex]

[tex]x^2 + y^2 = 49[/tex]

The above circle equation has a radius of 7, and it passes through the center

So, we have:

[tex]r = 5[/tex] -- radius of the Ferris wheel

[tex]R = 7[/tex] -- radius of the similar circle

Since both circles pass through the center, either of the circles can be dilated to the other

Read more about circle equations at:

https://brainly.com/question/1559324