Question

Estion 4 (1 point)Find the radius from the given equation:Radius:(x − 1)² + (y + 4)² = 9Blank 1:

Answer 1

The equation of a circle is given in the form:

`(x-a)^2+(y-b)^2=r^2`

where (a, b) is the center of the circle and r is the radius.

The equation in the question is given to be:

`(x-1)^2+(y+4)^2=9`

We can rewrite it in the form given above:

`\begin{gathered} 9=3^2 \\ \therefore \\ (x-1)^2+(y+4)^2=3^3 \end{gathered}`

This means that the following parameters are given for the circle:

`\begin{gathered} (a,b)=(1,-4) \\ r=3 \end{gathered}`

Therefore, the radius is 3.