Answer:
Explanation:
The formula for the equation of a circle is
( x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
We have the center as (-8, -5) but we need the radius.
(0, -10) is on the circle - so using the distance formula calculate the distance from the center to (0, -10) which is on the circle.
(d) = √(0 - -8)2 + (-10 - -5)2
= √(8)2 + (-5)2
= √89
so the radius is √89,
Putting the center into the formula gives us
(x --8)² + (y --5)² = √89²
(x + 8)² + (y + 5)² = √89²