Answer:
radius = 10
Step-by-step explanation:
The distance from the centre to the point on the circle is the radius r
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (1, - 2) and (x₂, y₂ ) = (- 5, 6)
r = [tex]\sqrt{(-5-1)^2+(6-(-2))^2}[/tex]
= [tex]\sqrt{(-6)^2+(6+2)^2}[/tex]
= [tex]\sqrt{36+8^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
