anonymous
  • anonymous
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.)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc013-2.jpg
Directrix
  • Directrix
The theorem you need to solve this problem is attached below.
anonymous
  • anonymous
I see that but i really dont get how to do it.

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anonymous
  • anonymous
wait! 13(13=30)
anonymous
  • anonymous
13(13+30)
Directrix
  • Directrix
See if you can solve the equation. 30² = 13( 13 + x) where x = AB, the diameter of the circle.
anonymous
  • anonymous
Ohh...Okay
anonymous
  • anonymous
56.23
Directrix
  • Directrix
On the equation you wrote, you forgot to square the tangent length.
anonymous
  • anonymous
Oh i see
anonymous
  • anonymous
Is 56 right?
Directrix
  • Directrix
56.231 for x = AB which is the diameter is what I got. Same as your answer.
Directrix
  • Directrix
Round to the nearest tenth.
anonymous
  • anonymous
Okay thanks! Can you help me out with some other ones too please?
Directrix
  • Directrix
What is 56.231 to the nearest tenth?
anonymous
  • anonymous
56.2
Directrix
  • Directrix
Yes.
Directrix
  • Directrix
Close this thread and post your next question in a new thread.
anonymous
  • anonymous
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
anonymous
  • anonymous
Please help...
Directrix
  • Directrix
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.
anonymous
  • anonymous
The same measure?

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