SOLUTION: HOW DO I FIND THE EQUATION OF A CIRCLE WHERE THE CENTER IS (-3, 4) AND A POINT ON THE EDGE IS (4, 6).

Question 11418: HOW DO I FIND THE EQUATION OF A CIRCLE WHERE THE CENTER IS (-3, 4) AND A POINT ON THE EDGE IS (4, 6).
Found 2 solutions by Earlsdon, askmemath:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You use the standard form for the equation of a circle with center at (h, k) and radius of r.

You know where the center is: (-3, 4) so that h = -3 and k = 4 Plug these into the formula:

Now you need to find the radius r.
The radius is just the distance form the circle center to a point on the circumference. You have the location of the center (-3, 4) and the location of a point on the circumference (4, 6).
You can use the distance formula to find the length of the radius using these two points:

This is the length of the radius r, but you really want r^2, so you will square both sides of this.

The equation for your circle is:

Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!
Equatation of a circle with centre (a,b) and radius r is given by (x-a)^2+(y-b)^2=r^2
You are given the centre (a,b) as (-3,4) .You are also given a point that lies on the circle.The distance between this point and the centre is the radius
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