Question

Use the information provided to write the equation of the circle with:1) Center: (-7, -13), Radius: 6

Answer 1

`(x+7)^2+(y+13)^2=36`

Step-by-step explanation:

The general form of the equation of a circle is given as:

`(x-h)^2+(y-k)^2=r^2`

Where:

• The centre = (h,k)

,

• The radius =r

Substituting the points:

`\begin{gathered} \mleft(h,k\mright)=\mleft(-7,-13\mright) \\ r=6 \end{gathered}`

We have the equation of the circle to be:

`\begin{gathered} (x-(-7))^2+(y-(-13))^2=6^2 \\ (x+7)^2+(y+13)^2=36 \end{gathered}`

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