What is the equation of the circle that has a center of (-3.-6) and passes through (-4,8)?

Question

anonymous · Answer

firstly, do you know the distance formula?

anonymous · Answer

Yepppp i know thr equation of a circle as well but i dont know how to solve that problem

anonymous · Answer

so whats your distance from these two points?

anonymous · Answer

Hold on

anonymous · Answer

Square root of 196

anonymous · Answer

you sure its not 197?

anonymous · Answer

sqrt root of 197

anonymous · Answer

Yes thts wa i meant sorry

anonymous · Answer

sweet

anonymous · Answer

so do you know the general notation for an equation of a circle?

anonymous · Answer

Equation of a Circle

The equation of the circle with center located at (a,b) and with radius r is
r2=(x−a)2+(y−b)2
Note that the radius squared is on the left-hand side of the equation.

anonymous · Answer

r^2=(x-a)^2+(y-b)^2

anonymous · Answer

Yep

anonymous · Answer

so what do you think the equation of the circle is with this information

helder_edwin · Answer

the radius is the distance from the center of the circle to ANY of the points over the circle

helder_edwin · Answer

this means that if C(-3,-6) and P(-4,8) is a point beloging to the circle then
$$\large r=d(C,P) $$