Question

The raidius of the circle is r=___The equation of the circle in standard form____

Answer 1

step 1

Find the radius of the circle

To find out the radius, calculate the distance between the center and any point that lie on the circle

so

(-2,3) and (-2,0)

Its a vertical distance

so

r=3-0=3 units

step 2

we have the radius r=3 units and the center (-2,3)

the equation of the circle is

$\begin{gathered} (x+2)^2+(y-3)^2=3^2 \\ (x+2)^2+(y-3)^2=9 \end{gathered}$