Question

Which of the following shows the location of the center Circle T and the radius of the circle?

Answer 1

`T(-5,2),\text{ radius = 9}`

Explanation:

We have that the formula of the circle equation is the following

`\begin{gathered} \mleft(x-h\mright)^2+\mleft(y-k\mright)^2=r^2 \\ (h,k)\text{ is the center } \\ r\text{ is the radius } \end{gathered}`

In this case we have the following equation:

`\begin{gathered} (x+5)^2+(y-2)^2=81\rightarrow(x-(-5))^2+(y-2)^2=9^2 \\ \text{therefore:} \\ T(-5,2),\text{ radius = 9} \end{gathered}`