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Mathematics 19 Online
alones (alones):

radius of the circle

alones (alones):

\( \color{brown}{x^2+y^2=15} \)

OpenStudy (anonymous):

what are you looking for?

OpenStudy (s4sensitiveandshy):

\[(x-h)^2+(y-k)^2=r^2\] equation of a circle where (h,k) is the center and r = radius

alones (alones):

Well, umm I’m not sure neither, tho here are the choices :3 3 \[ \sqrt{15 } \] \[ \sqrt{11 } \]

OpenStudy (johnweldon1993):

Read @S4Sensitiveandshy post above :)

OpenStudy (johnweldon1993):

\(\large x^2 + y^2 = 15\) <--your equation \(\large (x - h)^2 + (y - k)^2 = r^2\) <--equation of a circle Comparing the 2..since we know 'r' is the radius of the circle \[\large r^2 = 15\] What would 'r' be?

OpenStudy (s4sensitiveandshy):

there is 15 which is r^2 how would you get r ??

alones (alones):

I don’t know, I barely understand this lesson

OpenStudy (s4sensitiveandshy):

here is an example \[y^2 = \sqrt{y^2} \] to cancel ou the square you should take square root because sqrt{y} can be written as \[(y^2)^\frac{ 1 }{ 2 }\] 2 would cancel each other out left with y^2 which is same as y

OpenStudy (s4sensitiveandshy):

so take square root both sides.

alones (alones):

Uhh how would i do that, sorry i still dont' understand x3

OpenStudy (s4sensitiveandshy):

\[y^2=4\] take square root ( the radical sign both sides) \[\sqrt{y^2}= \sqrt{4}\] square root and square will cancel each other out and the square root of 4 is 2 \[y= 2\]

OpenStudy (s4sensitiveandshy):

just like that. \[r^2=15\] take square root

OpenStudy (sweetburger):

remember that r is the radius of the circle \[\sqrt{r^2} = \sqrt{15}, r = \sqrt{15}\]

OpenStudy (s4sensitiveandshy):

thank you.

RhondaSommer (rhondasommer):

well \[√{r^2}\] the square root and the 2 (it is squaring the radius) cancels out. just so you know the reasoning behind what sean said

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