SOLUTION: Let the points (-1, -2) and (-1, 3) be the endpoints of a circle. Find the length of the diameter of the circle.

Algebra ->  Coordinate-system -> SOLUTION: Let the points (-1, -2) and (-1, 3) be the endpoints of a circle. Find the length of the diameter of the circle.      Log On


   



Question 1049375: Let the points (-1, -2) and (-1, 3) be the endpoints of a circle. Find the length of the diameter of the circle.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if the points (-1,+-2) and (-1, 3) be the endpoints of a circle-> there is no such a notion "the endpoints of a circle"
it could be two points on a circle opposite to each other, or endpoints of the diameter
if so, than the length of the diameter of the circle is equal to distance between these two points
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-1, -2), we can say (x1, y1) = (-1, -2)
So x%5B1%5D+=+-1, y%5B1%5D+=+-2


Since the second point is (-1, 3), we can also say (x2, y2) = (-1, 3)
So x%5B2%5D+=+-1, y%5B2%5D+=+3


Put this all together to get: x%5B1%5D+=+-1, y%5B1%5D+=+-2, x%5B2%5D+=+-1, and y%5B2%5D+=+3

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Now use the distance formula to find the distance between the two points (-1, -2) and (-1, 3)



d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29


d+=+sqrt%28%28-1+-+%28-1%29%29%5E2+%2B+%28-2+-+3%29%5E2%29 Plug in x%5B1%5D+=+-1, y%5B1%5D+=+-2, x%5B2%5D+=+-1, and y%5B2%5D+=+3


d+=+sqrt%28%28-1+%2B+1%29%5E2+%2B+%28-2+-+3%29%5E2%29


d+=+sqrt%28%280%29%5E2+%2B+%28-5%29%5E2%29


d+=+sqrt%280+%2B+25%29


d+=+sqrt%2825%29


d+=+5

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Answer:


The distance between the two points (-1, -2) and (-1, 3) is exactly 5 units




so, the diameter of the circle is 5