haleym96
Find the center and radius of a circle that has a diameter with endpoints (-9, -6) and (-1,0). Show work.
a) center (4,3); radius 5
b) center (8,6); radius 10
c) center (-5,-3); radius 5
d) center (-10,-6); radius 10
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CalebBeavers
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Center would be the midpoint between those two points, and the radius would be the distance between them divided by 2
haleym96
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So I do the midpoint formula using the two points to find the center?
Hero
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Graph paper would work great for this problem
CalebBeavers
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Yep, use the midpoint formula
CalebBeavers
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What do you get?
haleym96
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(-5,-3)
CalebBeavers
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Yep, what about for the radius?
haleym96
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I know its suppose to be 5, but I didn't get it.
CalebBeavers
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Do you know the distance formula?
haleym96
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Wait, I think I know why..
haleym96
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I still didn't get it. Isn't it d=\[\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\]
CalebBeavers
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Yeah thats it. Plug in your coordinates \[D=\sqrt{(-1+9)^2+(0+6)^2}\]
CalebBeavers
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youll get d=sqrt{100}
d=10
but remember thats the diameter, radius is diameter divided by 2.
10/2=5
haleym96
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Oh, I got it now. I just added wrong. Thanks!
CalebBeavers
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You're welcome