SOLUTION: Find the standard form of the equation for the circle with the following properties. Center (−8,9), passes through (−1,−1)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the standard form of the equation for the circle with the following properties. Center (−8,9), passes through (−1,−1)      Log On


   



Question 1140933: Find the standard form of the equation for the circle with the following properties.
Center (−8,9), passes through (−1,−1)

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39621) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+x+-+h+%29%5E2+%2B+%28+y+-+k+%29%5E2+=+r%5E2+
( h, k ) = ( -8, 9 )
--------------------
+r+ is the distance from center to ( -1, -1 )
+r%5E2+=+%28+-1+-%28-8%29+%29%5E2+%2B+%28+-1+-+9+%29%5E2+
+r%5E2+=+7%5E2+%2B+%28-10+%29%5E2+
+r%5E2+=+49+%2B+100+
+r%5E2+=+149+
------------------------
+%28+x+-%28+-8+%29+%29%5E2+%2B+%28+y+-+9+%29%5E2+=+149+
+%28+x+%2B+8+%29%5E2+%2B+%28+y+-+9+%29%5E2+=+149+
-----------------------------------------
check the math &
get another opinion if needed