Answer:
I know because the question just told me that equation makes a circle.. nah just kiddin here the equation x^2 + y^2 - 4x + 8y = 6^2 makes a circle with center (2, -4) and radius 6.
Explanation:
The equation x^2 + y^2 - 4x + 8y = 6^2 can be rewritten as:
(x - 2)^2 + (y + 4)^2 = 6^2
This is the equation of a circle with center (2, -4) and radius 6. We can see that the equation is in standard form for the equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle and r is the radius.
Therefore, we know that the equation x^2 + y^2 - 4x + 8y = 6^2 makes a circle with center (2, -4) and radius 6.