Question

Create the equation of the circle shown:42.1-8-5-4-3-2-1 02345-1-2-3-4-5-8-87-:: (- 1):: (x + 1)?:: (y – 2)2:: (y + 2)2:: 5:: 10:: 25:: 100

Answer 1

From the graph the center of the circle is (-1,-2)

The formula for finding the circle with the center is,

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

Now, substituting the given points into the above formula we get,

$\begin{gathered} (x+1)^2+(y+2)^2=(\sqrt[]{1^2+2^2}) \\ (x+1)^2+(y+2)^2=5 \end{gathered}$

So, the required equation of the circle is,

$(x+1)^2+(y+2)^2=5$