samanthanatour73 samanthanatour73
  • 22-09-2020
  • Mathematics
contestada

In circle O shown below, the endpoints of the
diameter are (-2, 4) and (3, 1). What is the
length of the radius to the nearest tenth?

In circle O shown below the endpoints of the diameter are 2 4 and 3 1 What is the length of the radius to the nearest tenth class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 28-09-2020

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.

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