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  • 08-08-2019
  • Mathematics
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What is the center and radius of the circle using radicals as needed?

What is the center and radius of the circle using radicals as needed class=

Respuesta :

calculista
calculista calculista
  • 08-08-2019

Answer:

The center is (7,-2)

The radius is [tex]r=\sqrt{37}\ units[/tex]

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

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

where

(h,k) is the center and r is the radius

in this problem we have

[tex](x-7)^{2}+(y+2)^{2}=37[/tex]

therefore

The center is (7,-2)

The radius is

[tex]r^{2}=37\\ r=\sqrt{37}\ units[/tex]

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