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Which equation represents a circle with the same radius as
the circle shown but with a center at (-1.1)?
(x - 1)2 + (y + 1)2 = 16
(x - 1)2 + (y + 1)2 = 4
O (x + 1)2 + (-1)2 = 4
(x + 1)2 + (y-1)2 = 16​
its a timed quiz so please, please help.

Respuesta :

Answer :

[tex](x+1)^2+(y-1)^2=4^2[/tex] and [tex](x+1)^2+(y-1)^2=16[/tex]

Step-by-step explanation:

Given : A circle with the same radius as  the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

[tex](x-(-1))^2+(y-1)^2=4^2[/tex]

[tex](x+1)^2+(y-1)^2=4^2[/tex]

or [tex](x+1)^2+(y-1)^2=16[/tex]

Therefore, the required equations of circle are

[tex](x+1)^2+(y-1)^2=4^2[/tex] and [tex](x+1)^2+(y-1)^2=16[/tex]

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