Question

Circle S has an equation of (x + 16^)2 + (y – 9)^2 = 4. What is the center and radius of circle S?

Center: (16, -9); Radius: 4

Center: (16, -9); Radius: 2

Center: (-16, 9); Radius: 4

Center: (-16, 9); Radius: 2

Answer 1

the equation of a circle is
\[ \large (x-h)^2+(y-k)^2=r^2 \]
where the center is C(h,k) and radius is r.

Answer 2

in your case u have
\[ \large (x+16)^2+(y-9)^2=4 \]
which can be rewritten as
\[ \large (x-(-16))^2+(y-9)^2=2^2 \]

Answer 3

sorry, i'm still a little lost. would you mind narrowing down the possible answers for me?

Answer 4

i just did

Answer 5

Compare

\[ \large (x-h)^2+(y-k)^2=r^2 \]

and

\[ \large (x-(-16))^2+(y-9)^2=2^2 \]

what is h, k and r?

Answer 6

compare my first post and the last equation i wrote.

Answer 7

@jim_thompson5910 put them together for u.