### Home > GC > Chapter 11 > Lesson 11.1.1 > Problem11-16

11-16.

On graph paper, graph a circle with center $(4, 2)$ and radius $3$ units.

1. Write its equation.

$(x − 4)^2 + (y − 2)^2 = 9$

2. Find two points on the circle that are on opposite sides of the circle, that is they are $180^\circ$ from one another. Prove that these two points are exactly one diameter in distance from each other.

Draw a line through the center of the circle to find two points that are $180^\circ$ from one another.

Find the distance between point $O$ and point $P$.