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OpenSessame

CD is tangent to circle O at D. Find the diameter of the circle for BC = 13 and DC = 30. Round to the nearest tenth. (The diagram is not drawn to scale.)

  • 8 months ago
  • 8 months ago

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  1. Directrix
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    The theorem you need to solve this problem is attached below.

    • 8 months ago
  2. OpenSessame
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    I see that but i really dont get how to do it.

    • 8 months ago
  3. OpenSessame
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    wait! 13(13=30)

    • 8 months ago
  4. OpenSessame
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    13(13+30)

    • 8 months ago
  5. Directrix
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    See if you can solve the equation. 30² = 13( 13 + x) where x = AB, the diameter of the circle.

    • 8 months ago
  6. OpenSessame
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    Ohh...Okay

    • 8 months ago
  7. OpenSessame
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    56.23

    • 8 months ago
  8. Directrix
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    On the equation you wrote, you forgot to square the tangent length.

    • 8 months ago
  9. OpenSessame
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    Oh i see

    • 8 months ago
  10. OpenSessame
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    Is 56 right?

    • 8 months ago
  11. Directrix
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    56.231 for x = AB which is the diameter is what I got. Same as your answer.

    • 8 months ago
  12. Directrix
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    Round to the nearest tenth.

    • 8 months ago
  13. OpenSessame
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    Okay thanks! Can you help me out with some other ones too please?

    • 8 months ago
  14. Directrix
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    What is 56.231 to the nearest tenth?

    • 8 months ago
  15. OpenSessame
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    56.2

    • 8 months ago
  16. Directrix
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    Yes.

    • 8 months ago
  17. Directrix
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    Close this thread and post your next question in a new thread.

    • 8 months ago
  18. OpenSessame
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    Circle O and circle P are congruent. What can you conclude from the diagram? https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc001-1.jpg

    • 8 months ago
  19. OpenSessame
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    Please help...

    • 8 months ago
  20. Directrix
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    I think you need the theorem that begins: In the same circle or in congruent circles, congruent central angles have ________________________________? That would be, I think, what you could conclude. But, first look up that theorem.

    • 8 months ago
  21. OpenSessame
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    The same measure?

    • 8 months ago
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