Carey C.

asked • 03/26/18

Which of the following points lies on the circle whose center is at the origin and whose radius is 2? (0, 6)

what is the answer to this question
 

1 Expert Answer

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Andrew M. answered • 03/26/18

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The equation of a circle with
center (h,k) and radius r is:
(x-h)2 + (y-k)2 = r2
 
Center (0,0) radius 2:
 
x2 + y2 = 4
 
Plug in your given points for (x,y) and see
if the equation balances:
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Andrew M.

Note:  (0,6) is NOT on this circle...
 
02 + 62 = 4
36 = 4
Does not balance.
 
(0,2) Is on the circle ...
 
02 + 22 = 4
4 = 4
equation balances
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03/26/18

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