Find the diameter and radius of a circle with endpoints of (5,2) and (5,-14)

Question

wisp · Answer

Draw out the circle on a coordinate points, and solve for the diameter by connecting (5,2) and (5,-14). Make a right triangle with the line between the two points as the hypotenuse, and solve for it. Then just divide your diameter by 2 and that will give you the radius.

wisp · Answer

Wait, can't you just find your diameter by adding the absolute values of he y-values together? Were you given a diagram to go along with this problem?

anonymous · Answer

okay so either use the distance formula $$\sqrt{(x _{1}-x _{2})+(y _{1}-y _{2})} $$ or notice that they are both in x=5 so you just add they distences from (5,0) so 2 and 14 and that gives you 16. diameter is 16 then divide by 2 to get the radius

wisp · Answer

The points he/she was given might not be the diameter of the circle. They might be located on different ends of he circle irrelevant to the center.

anonymous · Answer

okay i see what you are talking about. i guess we would need more info if that is the case but given what we have that is most logical

wisp · Answer

Yeah, hopefully the points given are diameter endpoints. Either way, the person who asked will decide whenever he/she gets on.