Answer:
r = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
The distance from the centre to a 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 ) = (0, 0 ) and (x₂, y₂ ) = (2, 5 )
r = [tex]\sqrt{(2-0)^2+(5-0)^2}[/tex]
= [tex]\sqrt{2^2+5^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]