Explanation:
Explanation:
The general equation for a circle is
![{(x - h)}^(2) + {(y - k)}^(2) = {r}^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mpfwc13745dh9488xgvi5vo5qk7o0bntzu.png)
where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes
![{x}^(2) + {y}^(2) = {( \sqrt{ {4}^(2) + {4}^(2) } )}^(2) = 32](https://img.qammunity.org/2022/formulas/mathematics/high-school/5ngdjfxy1qxch8yfzrh4ft7siz7hccc5nz.png)