Answer:
The answer is
<h2>x² + y² + 6x - 16y - 71 =0</h2>
Step-by-step explanation:
The equation of a circle is given by
<h3>( x - a)² + ( y - b)² = r²</h3>
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
<u>Expand the terms</u>
That's
x² + 6x + 9 + y² - 16y + 64 = 144
<u>Arrange the terms</u>
x² + y² + 6x - 16y + 9 + 64 - 144 = 0
We have the final answer as
<h3>x² + y² + 6x - 16y - 71 =0</h3>
Hope this helps you
