Question

Find the equation of the given circle: (photo attached)

Answer 1

@satellite73 could you possibly help me? i know you're great at this

Answer 2

looks like the center is \((12,-16)\) so the equation will look like
\[(x-12)^2+(y+16)^2=r^2\]

Answer 3

radius is \(4\) in this case, so final answer is
\[(x-12)^2+(y+16)^2=4^2\]

Answer 4

i think this is the formula but i could be wrong

(x-h)^2+(y-k)^2=r^2

Answer 5

that is correct
in this case \(h=12,k=-16,r=4\)

Answer 6

thank you so much, did you get the radius just by looking at the graph? or is there a formula for that

Answer 7

and just one question, you said
looks like the center is (12,−16) so the equation will look like
(x−12)2+(y+16)2=r2

so wouldn't the equation be y-16?

sorry! i'm confused :(

Answer 8

you had to get everything from the graph, because that is all you have. i looks like the center is at
\[(12,-16)\] and that is 4 units from the circle

Answer 9

oh okay got that part

Answer 10

no it would be \(y+16\) because \(y-k=y-(-16)=y+16\)

Answer 11

ohhh okay my bad
thanks again!!!!! :)

Answer 12

yw

Answer 13

@satellite73 can you help me with another problem? i'd really appreciate it