Question

Given the center point and the radius, what is the equation of the circle?
Center (-5,12) r=13

1. (x+5)^2 + (y-12)^2=169
2. (x+5)^2 + (y-12)^2=13
3. (x-5)^2 + (y+12)^2 = 169
4. (x-5)^2 + (y-12)^2 = 13

Answer 1

May I help?

Answer 2

Sure!

Answer 3

thanks

Answer 4

Do you know the general form of the circle equation?

Answer 5

Here you are!

Answer 6

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

Answer 7

Thanks! how do I plug the numbers into the equation?

Answer 8

x_o is the x-coordinate of the center
y_o is the y-coordinate of the center

Answer 9

and raise r to the power 2 when you plug it in the equation, r^2=13^2

Answer 10

Ohh i think I have it, so the answer is 3?

Answer 11

but x_o=-5 not 5
so (x+5)^2 not (x-5)^2

Answer 12

So the numbers get flipped?

Answer 13

if x_o=-ve, then (x+x_o)^2
if x_o=+ve, then (x-x_o)^2

and y the same

Answer 14

Okay, I see so the answer is 1?

Answer 15

Congratulations! ♥

Answer 16

Thank you for learning!!

Answer 17

Any more questions?