Asked by Ted

The endpoints of the diameter of a circle are A(-1,1) and B(0.5,-3). calculate the radius of the circle.

Answers

Answered by Reiny
You should have a method of finding the midpoint of a line segment if you know the endpoints, that becomes your centre.
The use the "distance between two points" to find the length of the line between the above centre and one of the other two points.
Answered by Ted
i do not get the answer
Answered by Reiny
midpoint = ( -1 + 0.5 , 1 - 3) = ( -.25 , -1)

distance to other point (-1,1)
= √( .75^2 + (-2)^2)
= √4.562
= 2.136

you could also have taken the length of the diameter and then divided by 2
diam = √(1.5^2 + (-4)^2) = √18.25 = 4.272

and 1/2 of 4.272 = 2.136

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