Answer:
( x - 8 )^2 + ( y + 16 )^2 = 4; Option C
Explanation:
~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 provided r ⇒ radius of the circle, centered at ( a, b ) ~
1. With that being being said, we are given the center with coordinates (8, -16), that can be plugged into this circle equation as a and b, while x and y are kept such: ( x - 8 )^2 + ( y - ( - 16 ) )^2 ⇒ simplified to be ⇒
( x - 8 )^2 + ( y + 16 )^2
2. Given the radius 2, it is convenient for us that we can simply substitute this value of r into the circle equation: ( x - 8 )^2 + ( y + 16 )^2 = 2^2
3. Now let us square the radius 2, as to simplify to ⇒
Answer: ( x - 8 )^2 + ( y + 16 )^2 = 4