Question

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

Answer 1

firstly, do you know the distance formula?

Answer 2

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

Answer 3

so whats your distance from these two points?

Answer 4

Hold on

Answer 5

Square root of 196

Answer 6

you sure its not 197?

Answer 7

sqrt root of 197

Answer 8

Yes thts wa i meant sorry

Answer 9

sweet

Answer 10

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

Answer 11

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.

Answer 12

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

Answer 13

Yep

Answer 14

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

Answer 15

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

Answer 16

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