The formula for the equation of a circle is , where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is . Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get , so the radius is . But, we want the radius squared, which is 34. So, the final answer is what I wrote above.

## Answers ( )

Answer:Your answer would be.

Step-by-step explanation:The formula for the equation of a circle is , where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is . Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get , so the radius is . But, we want the radius squared, which is 34. So, the final answer is what I wrote above.

Hope that helped! 🙂