SOLUTION: Find the standard form of the equation for the circle with center at (-3, -1) and diameter of 2 sqrt 5.

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Question 1087913: Find the standard form of the equation for the circle with center at (-3, -1) and diameter of 2 sqrt 5.
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

The standard form of an equation of a circle is:



Where are the coordinates of the center and is the radius. Note that you have to retain the minus sign that is given in the formula when you substitute a negative number for either h or k. Hence, you end up with x plus something and/or y plus something if either h or k is negative. Don't forget to square r.

John

My calculator said it, I believe it, that settles it


Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28x-%28%28-3%29%29%5E2+%2B+%28-%28-1%29%29%5E2%29 = %282%2Asqrt%285%29%29%5E2,

or, which is the same,

%28x%2B3%29%5E2+%2B+%28y%2B1%29%5E2 = 20.

See the lessons
    - Standard equation of a circle
    - Find the standard equation of a circle
in this site.