SOLUTION: What is the standard equation of the circle with radius 4, and center (0,0)? A (x+4)^2 + y^2 = 16 B (x+4)^2 + (y+4)^2 = 16 C (x+4)^2 + (y+4)^2 = 0 D x^2 + y^2 = 0 E ^2 + y^

Question 161959: What is the standard equation of the circle with radius 4, and center (0,0)?
A (x+4)^2 + y^2 = 16
B (x+4)^2 + (y+4)^2 = 16
C (x+4)^2 + (y+4)^2 = 0
D x^2 + y^2 = 0
E ^2 + y^2 = 4
F x^2 + y^2 = 16

I have no idea where to start on this. Id apperciate seeing the steps and the correct answer. Thank you so much for all your help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The formula for any circle is where the center is at (h,k) and the radius is "r"

So in this case, the center is (0,0) which means that h=0 and k=0. Also, the radius is 4 which means that

So the equation goes from to after plugging in the given data

Now simplify to get

So the answer is F
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