# Circle in parabola

Weave

## Homework Statement

A circle with a radius of 1inscribed in the parabola y=x^2, find the center of the circle. The figure shows the circle on the y-axis.

## Homework Equations

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

## The Attempt at a Solution

h=0. $$\frac{x^2+(y-k)^2}{r^2}=x^2$$
R^2=1 and the x^2 can be subtracted out leaving:$$(y-k)^2=0$$ take the derivitive of each side, find y, substitute that back in and find k but I end up with other varibles to solve.

Last edited:

d_leet

## Homework Statement

A circle with a radius of 1inscribed in the parabola y=x^2, find the center of the circle. The figure shows the circle on the y-axis.

## The Attempt at a Solution

h=0. $$\frac{x^2+(y-k)^2}{r^2}=x^2$$

How did you get this equation?

Weave
setting one equation equal to another

d_leet
setting one equation equal to another

And how did you do that? Can you show some work because I cannot see what you set equal to what.