Question 781502
Write the equation of the circle in which the endpoints of its diameter are A(0,0) and B(0,6)
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Standard form of equation for a circle: {{{(x-h)^2+(y-k)^2=r^2}}}, (h,k)=(x,y) coordinates of center, r=radius
coordinates of center=coordinates of mid point of given end-points A and B
Use midpoint formula:
((0+0)/2),(6+0)/2=(0,3)
radius=distance between center and either one of given end-points, say,  A
Use distance formula:
r=√(0-0)^2+(0-3)^2)=√9=3
Equation of given circle:
{{{x^2+(y-3)^2=9}}}