How do you find the general form of the equation of this circle given endpoints of a diameter of the circle are P(-2,5) and Q(4,9)?

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Answer 1 · 2016-01-10T18:19:02

If you know the endpoints of the diameter, then the midpoint is the center of the circle...

Center #=[(1/2)(-2+4), (1/2)(5+9)]=(1,7)=(h,k)#

Using the distance formula , now find the radius ...

radius #r=sqrt((9-7)^2+(4-1)^2)=sqrt13#

Finally, use the general equation for a circle to fill in the values from the problem ...

#(x-h)^2+(y-k)^2=r^2#

#(x-1)^2+(y-7)^2=13#

hope that helped

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