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Welp
 one year ago
"What is the equation of the circle with center (3,5) that passes through the point (4,10)?"
^How do I solve this?
Welp
 one year ago
"What is the equation of the circle with center (3,5) that passes through the point (4,10)?" ^How do I solve this?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Use the distance formula first to find the radius.\[\huge d=\sqrt{(x_2x_1)^2+(y_2y_1)^2}\] After you found the radius, use the center and the radius to form the standard equation of a circle.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0or you can use equation of the circle replace (h,k) for center points and x , y by the point they gave you solve for r

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438730789405:dw

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 5}})\quad % (c,d) &({\color{red}{ 4}}\quad ,&{\color{blue}{ 10}}) \end{array}\qquad % distance value d = \sqrt{({\color{red}{ x_2}}{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}{\color{blue}{ y_1}})^2}\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0find the radius use the center (h,k) as Nnesha indicated on the previous posting and plug them in \(\bf (x{\color{brown}{ h}})^2+(y{\color{blue}{ k}})^2={\color{purple}{ r}}^2 \qquad center\ ({\color{brown}{ h}},{\color{blue}{ k}})\qquad radius={\color{purple}{ r}}\)

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha solving for r in the standard equation gives the distance formula :)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge\rm (\color{blue}{x}\color{reD}{h})^2+(\color{blue}{y}\color{reD}{k})^2=r^2\] \[\color{blue}{(4,10)}\] \[\color{reD}{(3,5)}\] plugin values solve for r

Welp
 one year ago
Best ResponseYou've already chosen the best response.0"plugin values solve for r " I tried it and got 24. That doesn't seem right.

Welp
 one year ago
Best ResponseYou've already chosen the best response.0=(x3)^2 + (y5)^2=226?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The left hand side of your equation of the circle is correct. However, the right hand side (226) is incorrect. Did you use the distance formula above to find the radius?
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