Answer:
radius = [tex]\sqrt{17}[/tex]
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
(h, k ) are the coordinates of the centre and r is the radius
given
x - 2)² + (y + 12)² = 17 ← in standard form
with r² = 17 ( take square root of both sides )
[tex]\sqrt{r2}[/tex] = [tex]\sqrt{17}[/tex] , then
radius r = [tex]\sqrt{17}[/tex]
