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haleym96

  • 2 years ago

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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  1. CalebBeavers
    • 2 years ago
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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

  2. haleym96
    • 2 years ago
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    So I do the midpoint formula using the two points to find the center?

  3. Hero
    • 2 years ago
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    Graph paper would work great for this problem

  4. CalebBeavers
    • 2 years ago
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    Yep, use the midpoint formula

  5. CalebBeavers
    • 2 years ago
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    What do you get?

  6. haleym96
    • 2 years ago
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    (-5,-3)

  7. CalebBeavers
    • 2 years ago
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    Yep, what about for the radius?

  8. haleym96
    • 2 years ago
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    I know its suppose to be 5, but I didn't get it.

  9. CalebBeavers
    • 2 years ago
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    Do you know the distance formula?

  10. haleym96
    • 2 years ago
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    Wait, I think I know why..

  11. haleym96
    • 2 years ago
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    I still didn't get it. Isn't it d=\[\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\]

  12. CalebBeavers
    • 2 years ago
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    Yeah thats it. Plug in your coordinates \[D=\sqrt{(-1+9)^2+(0+6)^2}\]

  13. CalebBeavers
    • 2 years ago
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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

  14. haleym96
    • 2 years ago
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    Oh, I got it now. I just added wrong. Thanks!

  15. CalebBeavers
    • 2 years ago
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    You're welcome

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