morgyneasley0605 morgyneasley0605
  • 25-08-2020
  • Mathematics
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The points ​(​-4,​-3) and ​(2​,4​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.

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  • 25-08-2020

Answer: sqrt(85)/2

Step-by-step explanation:

Remember that the length of the diameter is twice that of the radius.

The first step would be finding the distance between the two points using the distance formula[tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}[/tex].

The distance of diameter = [tex]\sqrt{85}[/tex]

The distance of the radius would be half that, so [tex]\frac{\sqrt{85}}{2}[/tex]

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