### Home > INT3 > Chapter 5 > Lesson 5.2.1 > Problem5-61

5-61.
1. Write the equation in graphing form of each circle described below. Homework Help ✎

1. A circle with radius 12 centered at the point (–2, 13).

2. A circle with center (–1, –4) and radius 1.

3. A circle with equation x2 + y2 – 6x + 16y + 57 = 0. (Hint: Complete the square for both x and y.)

(xh)2 + (yk)2 = r2

$(x + 2)^2 +(y \ – \ 13)^2 = 144$

Refer to the hint in part (a).

$(x^2-6x+?)+(y^2+16y+?)=-57$

$(x^2-6x+9)+(y^2+16y+64)=-57+9+64$

Factor the expressions in parentheses and simplify.