baseball4lyfe20 baseball4lyfe20
  • 04-05-2020
  • Mathematics
contestada

which equation represents a circle with centerT(5,-1) and a radius of 16 units?

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JeanaShupp
JeanaShupp JeanaShupp
  • 09-05-2020

Answer: [tex](x-5)^2+(y+1)^2=r^2[/tex]

Step-by-step explanation:

The area of a circle having radius r and center (h,k) is given by :-

[tex](x-h)^2+(y-k)^2=r^2[/tex]   (i)

We have given that, Center of the Circle = T ( 5,-1)

Radius = 16 units

Substitute these values in (i) , we get

[tex](x-5)^2+(y-(-1))^2=(16)^2\\\\\Rightarrow\ (x-5)^2+(y+1)^2=256[/tex]

Hence, the equation represents a circle with centerT(5,-1) and a radius of 16 units would be [tex](x-5)^2+(y+1)^2=256[/tex].

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