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Identify the center and radius of the circles:
(x-4)^2+(y+4)^2 =4

User Hedeshy
by
4.6k points

2 Answers

4 votes

Answers:

Center = (4, -4)

Radius = 2

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Step-by-step explanation:

Rewrite the equation into (x-4)^2 + (y-(-4))^2 = 2^2

Compare this to (x-h)^2 + (y-k)^2 = r^2

We see that the center is (h,k) = (4,-4) and the radius is r = 2

User Lrxw
by
4.8k points
5 votes

Step-by-step explanation:

Hey there!

Given;

Tge equation of a circle is;


{(x - 4)}^(2) + ( {y + 4)}^(2) = 4

Comparing it with (x-h)^2 + (y-k)^2= r^2 , we get;

h= 4

k = -4

And radius= 2 .

Therefore, the center is (4,-4) and radius is 2.

Hope it helps..

User Planestepper
by
5.5k points