Answer:
The answer is
x² + y² + 6x - 16y - 71 =0
Step-by-step explanation:
The equation of a circle is given by
( x - a)² + ( y - b)² = r²
where ( a , b) is the center of the circle and
r is the radius
From the question the center is
P (-3, 8) and radius = 12
Substitute the values into the above formula and solve
That's
( x + 3)² + ( y - 8) = 12²
Expand the terms
That's
x² + 6x + 9 + y² - 16y + 64 = 144
Arrange the terms
x² + y² + 6x - 16y + 9 + 64 - 144 = 0
We have the final answer as
x² + y² + 6x - 16y - 71 =0
Hope this helps you
