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haleym96 Group Title

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

  • one year ago
  • one year ago

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  1. CalebBeavers Group Title
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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

    • one year ago
  2. haleym96 Group Title
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    So I do the midpoint formula using the two points to find the center?

    • one year ago
  3. Hero Group Title
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    Graph paper would work great for this problem

    • one year ago
  4. CalebBeavers Group Title
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    Yep, use the midpoint formula

    • one year ago
  5. CalebBeavers Group Title
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    What do you get?

    • one year ago
  6. haleym96 Group Title
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    (-5,-3)

    • one year ago
  7. CalebBeavers Group Title
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    Yep, what about for the radius?

    • one year ago
  8. haleym96 Group Title
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    I know its suppose to be 5, but I didn't get it.

    • one year ago
  9. CalebBeavers Group Title
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    Do you know the distance formula?

    • one year ago
  10. haleym96 Group Title
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    Wait, I think I know why..

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

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

    • one year ago
  13. CalebBeavers Group Title
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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

    • one year ago
  14. haleym96 Group Title
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    Oh, I got it now. I just added wrong. Thanks!

    • one year ago
  15. CalebBeavers Group Title
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    You're welcome

    • one year ago
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