SOLUTION: Endpoints of the diameter are (-3,11) and (3,-11). Write the equation of the circle

Algebra ->  Coordinate-system -> SOLUTION: Endpoints of the diameter are (-3,11) and (3,-11). Write the equation of the circle      Log On


   

Question 1081640: Endpoints of the diameter are (-3,11) and (3,-11). Write the equation of the circle
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the midpoint wihich is the center
+M%5Bx%5D+=+%28+3+-+3+%29%2F2+
+M%5Bx%5D+=+0+
-----------------
+M%5By%5D+=+%28+11+-+11+%29%2F2+
+M%5By%5D+=+0+
M = ( 0,0 )
+%28+x+-+j+%29%5E2+%2B+%28+y+-k+%29%5E2+=+r%5E2+
center at ( j,k )
+j+=+0+
+k+=+0+
-------------------------------
Find the diameter
+d+=+sqrt%28+%28+3+-%28-3%29%29%5E2+%2B+%28+11+-%28-11%29%5E2+%29%29+
+d+=+sqrt%28+6%5E2+%2B+22%5E2+%29+
+d+=+sqrt%28+36+%2B+484+%29+
+d+=+sqrt%28+520+%29+
+r+=+%281%2F2%29%2Asqrt%28520%29+
+r%5E2+=+%281%2F4%29%2A520+
+r%5E2+=+130+
The equation is:
+x%5E2+%2B+y%5E2+=+130+
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Here's the plot:

check my math