Home > Resources > Homework > Math > Unit Circle

Find the equation of a circle with center at $(h, k)$ and radius $1$

Answer 1

Abigail Nelson

Amelia Mitchell

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

$ (x – h)^2 + (y – k)^2 = r^2 $

For a unit circle, the radius $r = 1$. Therefore, the equation becomes:

$ (x – h)^2 + (y – k)^2 = 1 $

Answer 2

Alex Thompson

Lucas Brown

The equation of a circle is given by:

$ (x – h)^2 + (y – k)^2 = r^2 $

For a unit circle, $r = 1$. Substituting $r = 1$ into the equation, we get:

$ (x – h)^2 + (y – k)^2 = 1 $

Answer 3

Amelia Mitchell

Ella Lewis

The equation of a circle with center $(h, k)$ and radius $1$ is:

$ (x – h)^2 + (y – k)^2 = 1 $