SOLUTION: Find the center and radius of the circle. (x - 1)2 + y2 = 36 A) (0, 1); 6 B) ( 1, 0); 36 C) ( 1, 0); 6 D) ( -1, 0); 6 Thanks

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Question 318061: Find the center and radius of the circle. (x - 1)2 + y2 = 36
A) (0, 1); 6
B) ( 1, 0); 36
C) ( 1, 0); 6
D) ( -1, 0); 6
Thanks
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Find the center and radius of the circle. %28x++-+1%29%5E2+%2B+y2+=++36
A) (0, 1); 6
B) ( 1, 0); 36
C) ( 1, 0); 6
D) ( -1, 0); 6 


The standard equation of a circle is 



%28x-h%29%5E2%22=%22%28y-k%29%5E2%22=%22r%5E2



whose center is %22%28h%2Ck%29%22 and whose radius is r.



%28x-1%29%5E2%22%2B%22y%5E2%22=%2236



Write y%5E2 as %28y-0%29%5E2 and 36 as 6%5E2



%28x-1%29%5E2%22%2B%22%28y-0%29%5E2%22=%226%5E2



When you compare that to 



%28x-h%29%5E2%22=%22%28y-k%29%5E2%22=%22r%5E2



you see that h=1, k=0, r=6



So the center is (h,k) = (1,0) and the radius is r = 6



This is the graph:



 

 

Edwin