Respuesta :

Answer:

2.9 units

Step-by-step explanation:

Length of the radius = ½ of the distance between the two endpoints

Distance between (-2, 4) and (3, 1) using the formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-2, 4) = (x_1, y_1) [/tex]

[tex] (3, 1) = (x_2, y_2) [/tex]

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

[tex] d = \sqrt{(5)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{25 + 9} = \sqrt{34} [/tex]

[tex] d = 5.8 [/tex]

Length of radius = ½ of 5.8 = 2.9 units.