DavudC197186 DavudC197186
  • 25-10-2022
  • Mathematics
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Write the standard form of the equation of the circle described below

Write the standard form of the equation of the circle described below class=

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LogicK485820 LogicK485820
  • 25-10-2022

Given:

Center ( 8, -4)

Radius (r) = 3

Find-:

Standard equation of a circle

Explanation-:

The standard equation of a circle:

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

Where,

[tex]\begin{gathered} (h,k)=\text{ Center} \\ \\ r=\text{ Radius} \end{gathered}[/tex]

So equation of circle is:

[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \\ (h,k)=(8,-4) \\ \\ r=3 \end{gathered}[/tex][tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \\ (x-8)^2+(y-(-4))^2=3^2 \\ \\ (x-8)^2+(y+4)^2=9 \end{gathered}[/tex]

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