Circles in the Coordinate Plane

The equation of a circle in a coordinate plane is written knowing the coordinates of its center and the length of the radius.

The equation of a circle of center (h,k) and radius r in standard form is: r² = (x-h)² + (y-x)²

The unit circle is the circle whose radius is equal to 1 and whose center is the origin.

 

Find out more about circles in the coordinate plane below.

Circles in the Coordinate Plane


Practice: Write equations of each circle that has a diameter with the given endpoints in the following exercises.

Circles in the Coordinate Plane 1

Circles in the Coordinate Plane 2