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anonymous
 one year ago
find the equation of a circle whose endpoints of a diameter are P(1,1) and Q(5,9)
anonymous
 one year ago
find the equation of a circle whose endpoints of a diameter are P(1,1) and Q(5,9)

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jchick
 one year ago
Best ResponseYou've already chosen the best response.1Standard form of equation for a circle:(xh)^2 + (y  k)^2 = r^2

jchick
 one year ago
Best ResponseYou've already chosen the best response.1(h,k)=(x,y) coordinates of center, r=radius

jchick
 one year ago
Best ResponseYou've already chosen the best response.1Use distance formula to find radius: diameter=√(x1x2)^2+(y1y2)^2)=√((5+1)^2+(91)^2)=√36+64

jchick
 one year ago
Best ResponseYou've already chosen the best response.1coordinates of center=midpoint of given points: (1,1) and (5,9) midpoint=(x1+x2)/2,(y1+y2)/2=(1+5)/2),(9+1)/2)=(2,5) center: (2,5)

jchick
 one year ago
Best ResponseYou've already chosen the best response.1Equation of given circle:

jchick
 one year ago
Best ResponseYou've already chosen the best response.1(x  2)^2 + (y  5)^2 = ??
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