Respuesta :

Answer:

5 units

Step-by-step explanation:

By distance formula:

[tex]r = \sqrt{(4 - 1) ^{2} + {(7 - 3)}^{2} } \\ \\ r = \sqrt{ {3}^{2} + {4}^{2} } \\ \\ r = \sqrt{9 + 16} \\ \\ r = \sqrt{25} \\ \\ r = 5[/tex]

Answer:

radius = 5 units

Step-by-step explanation:

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 7)

r = [tex]\sqrt{(4-1)^2+(7-3)^2}[/tex]

  = [tex]\sqrt{3^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5