# Thread: find the general form of the equation of each circle

1. ## find the general form of the equation of each circle

with the endpoints of a diameter at (1,4) (-3,2)

so for the radius i have to find the distance between these two points...and i got square root of 20...then..?

hope u guys can help me

thanks

2. Originally Posted by alessandromangione
with the endpoints of a diameter at (1,4) (-3,2)

so for the radius i have to find the distance between these two points...and i got square root of 20...then..?

hope u guys can help me

thanks
$\displaystyle \sqrt{20}$ is the diameter, not the radius.

the midpoint between the two points is the circle's center, $\displaystyle (h,k)$

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

3. Originally Posted by skeeter
$\displaystyle \sqrt{20}$ is the diameter, not the radius.

the midpoint between the two points is the circle's center, $\displaystyle (h,k)$

$\displaystyle (x-h)^2 + (y-k)^2 = r^2$
so the the radiuus is square root of 10?

4. Originally Posted by alessandromangione
so the the radiuus is square root of 10?
I have to believe that you were taught better than that ...

$\displaystyle \frac{\sqrt{20}}{2} \ne \sqrt{10}$

$\displaystyle \frac{\sqrt{20}}{2} = \frac{\sqrt{20}}{\sqrt{4}} = \sqrt{\frac{20}{4}} = \sqrt{5}$