Question

Z? + y2 – 2x + 16y + 61 = 0Center:Radius:Submit Answer

Answer 1

we can calculate the center and radious using this form of the equation of the circle

`x^2+y^2+Dx+Ey+F=0`

Where D is -2, E is 16 and F is 61

Center is

`(a,b)`

where a is

`\begin{gathered} a=-(D)/(2) \\ \\ a=-(-2)/(2) \\ \\ a=1 \end{gathered}`

and b is

`\begin{gathered} b=-(E)/(2) \\ \\ b=-(16)/(2) \\ \\ b=-8 \end{gathered}`
`C(1,-8)`

Radious

`\begin{gathered} r=\sqrt[]{a^2+b^2-F} \\ \\ r=\sqrt[]{1^2+(-8)^2-61} \\ \\ r=\sqrt[]{1+64-61} \\ \\ r=\sqrt[]{4}=2 \end{gathered}`

radious is 2 units