anonymous
  • anonymous
What is the equation of the circle with center (2,-5) that passes through the point (-2,10)? a. (x-2)^2+(y-(-5))^2=25 b. (x-(-2))^2+(y-10)^2=241 c. (x-2)^2+(y-(-5))^2=241 d. (x-(-2))^2+(y-10)^2=25 I'm not just asking for an answer. I don't understand and any form of help would be appreciated :)
Mathematics
jamiebookeater
  • jamiebookeater
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geerky42
  • geerky42
Do you know about center part?
geerky42
  • geerky42
Saying we have center \((h,k)\), then equation would be \((x-h)^2+(y-k)^2 = r^2\) Right?
anonymous
  • anonymous
I think that I might understand what you're getting at.. are you implying that the answer would be "a. (x-2)^2+(y-(-5))^2=25" or would it be "c. (x-2)^2+(y-(-5))^2=241" ...?

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geerky42
  • geerky42
Yeah, we are either at A or C, we don't know yet because we haven't figure out the radius part.
geerky42
  • geerky42
\(r\) in \((x-h)^2+(y-k)^2 = r^2\) stands for radius. You can find radius by using distance formula on points \((2,-5)\) and \((-2,10)\)
geerky42
  • geerky42
Distance formula is \[d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]
Loser66
  • Loser66
You can use directly the general equation of a circle to get r by replace the point into the formula |dw:1432952523897:dw|
geerky42
  • geerky42
yeah, that's better way to figure out radius.
anonymous
  • anonymous
(2,-5)=x1 and y1 and (-2,10)=x2 and y2 (-2(-2))^2+(10-(-5))^2 0=25 25 so, would the answer be "a. (x-2)^2+(y-(-5))^2=25" ?
geerky42
  • geerky42
\((x_2-x_1)\) part is supposed to be -4. \((-2) - 2 = -4\), right? and \(y_2-y_1\) is supposed to be 15, since 10 - (-5) = 10 + 5 = 15
anonymous
  • anonymous
-4^2+15^2 ?
geerky42
  • geerky42
\((-4)^2+(15)^2\), yeah.
geerky42
  • geerky42
Do you understand?
anonymous
  • anonymous
I think so... I still get answer choice a as my answer each time I work this out.. is that correct or am I still totally lost?
geerky42
  • geerky42
Let's just do @Loser66 's way. Plug \((-2,10)\) into \((x-2)^2+(y+5)^2\).
geerky42
  • geerky42
And solve. What do you get?
anonymous
  • anonymous
-4^2+15^2 16+225 241 oh wow..... I see where I messed up! Thank you both so much for helping me and remaining patient :)
geerky42
  • geerky42
No problem

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