Question

A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle?

Answer 1

The general equation of a circle is (x-h)^2+(y-k)^2 = r^2

Answer 2

where the center is (h,k) and the radius is r

Answer 3

So what does that mean for us in this problem?

Answer 4

(x-(-2))^2+(y-5)^2=4^2?

Answer 5

you nailed it

Answer 6

you can then rewrite x-(-2) as what?

Answer 7

x+2+y-5=16 thats the whole equation simplified

Answer 8

not sure what happened to your squares, but it should be


(x+2)^2 + (y-5)^2 = 16

Answer 9

oh, i forgot to add those in

Answer 10

but it looks like you have the right idea

Answer 11

thank you for the help

Answer 12

you're welcome