Question

Find the equation of the circle with center (4,3)
that passes through the point (0,0)

Answer 1

i think it's (x-4)^2 + (y-3) ^2 = 25

Answer 2

how did u get the 25 though
I got the same (x-4)^2 + (y-3)^2 = ?

Answer 3

the radius is 5.

Answer 4

draw a line from the point to the origin

Answer 5

and you will see the x axis is 4 units long, y is 3 units long. so you have a right triangle

Answer 6

so the hypotenuse is 5, or the radius is 5. so you square 5 and get 25

Answer 7

ooo thats so cool and great! Thank you. Is there anyway you can do that without having to draw it out like would I just automatically plug in the center pair into the Pythagorean theorem?

Answer 8

if the circle passes through the origin, then you can use pythrogren, otherwise, drawing it is better

Answer 9

o ok thank you very much!

Answer 10

you're welcome!