Answer:
5 units
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius
1) Plug in the center (-2,3)
[tex](x-(-2))^2+(y-3)^2=r^2\\(x+2)^2+(y-3)^2=r^2[/tex]
2) Plug in the given point P(1,7) and solve for r
[tex](1+2)^2+(7-3)^2=r^2\\(3)^2+(4)^2=r^2\\9+16=r^2\\25=r^2[/tex]
Take the square root of both sides
[tex]\sqrt{25} =\sqrt{r^2} \\5=r[/tex]
Therefore, the radius of the circle is 5 units.
I hope this helps!
