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

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

Given:

• Center $(h, k) = (3, 4)$

So the equation becomes:

$(x - 3)^2 + (y - 4)^2 = r^2$

To complete the equation, we need the radius $r$. If you have information about the radius or a point on the circle, please provide it. Otherwise, the general form is as shown above.

Would you like to provide more details, or do you have any questions?

---

Here are 5 related questions to expand on this topic:

1. How do you find the radius of the circle if a point on the circle is given?
2. What is the significance of the center in the equation of a circle?
3. How would the equation change if the center of the circle was moved to the origin $(0, 0)$?
4. How do you graph a circle given its equation?
5. What happens to the circle if the radius $r$ is doubled?

Tip: When writing the equation of a circle, always identify the center and the radius first.