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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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Answer: sqrt(85)/2

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
\sqrt{(x_2 - x_1)^(2) + (y_2 - y_1)^(2).

The distance of diameter =
√(85)

The distance of the radius would be half that, so
(√(85))/(2)

User Gadgetmo
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