> > The coordinates of the center of the circle N are (6,8) .

# The coordinates of the center of the circle N are (6,8) .

## The point (3,4) lies on circle N. what equation will represent circ...

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### The coordinates of the center of the circle N are (6,8) .

The point (3,4) lies on circle N. what equation will represent circle N?

$$General\ equation\ for \ a circle\ :\\(x-a)^2+(y-b)^2=r^2\\\\\ Center\ of\ a\ \ N(a,b)=(6,8)\\\\(x-6)^2+(y-8)^2=r^2\\\\ Substituting\ point\ (3,4)\\\ (3-6)^2+(4-8)^2=r^2\\\\9+16=r^2\\\\25=r^2|root\\\ =5\\\\ Equation\ for\ circle\ N\:\\\\(x-6)^2+(y-8)^2 \leq 5^2$$