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OpenSessame Group Title

In circle O, CD = 44, OM = 20, ON = 19, CD is perpendicular to OM and EF to ON. a. Find the radius. If your answer is not an integer, express it in radical form. b. Find FN. If your answer is not an integer, express it in radical form. c. Find EF. Express it as a decimal rounded to the nearest tenth.

  • one year ago
  • one year ago

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    • one year ago
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  2. mathstudent55 Group Title
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    You mean CD is perpendicular to OM and EF to ON, right?

    • one year ago
  3. OpenSessame Group Title
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    Yea dont know why i wrote parallel

    • one year ago
  4. mathstudent55 Group Title
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    Can you find MD?

    • one year ago
  5. OpenSessame Group Title
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    No...

    • one year ago
  6. mathstudent55 Group Title
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    |dw:1377142738745:dw|

    • one year ago
  7. OpenSessame Group Title
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    Its a right triangle? so can you you the Pythagorean theorem?

    • one year ago
  8. mathstudent55 Group Title
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    In the circle above, radius OP is perpendicular to chord AC.

    • one year ago
  9. mathstudent55 Group Title
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    Radius OP bisects chord AC, so AB = BC

    • one year ago
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    |dw:1377142881604:dw|

    • one year ago
  11. mathstudent55 Group Title
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    Now look at your figure again. Notice segment OM and chord CD. What is the length of MD?

    • one year ago
  12. OpenSessame Group Title
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    22?

    • one year ago
  13. mathstudent55 Group Title
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    Right. Now draw the radius OD. Since you know two sides of a right triangle, you can find the third side.

    • one year ago
  14. OpenSessame Group Title
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    \[\sqrt{884}\]

    • one year ago
  15. mathstudent55 Group Title
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    |dw:1377143069512:dw|

    • one year ago
  16. mathstudent55 Group Title
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    Correct, but you can simplify it.

    • one year ago
  17. OpenSessame Group Title
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    Should I because it says just leave it in radical form...

    • one year ago
  18. OpenSessame Group Title
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    I can simplify it myself i know how to do that part lol, but i just need help with the rest!

    • one year ago
  19. mathstudent55 Group Title
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    Ok. Next. What is FN?

    • one year ago
  20. OpenSessame Group Title
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    Would that be 22? Because they are perpendicular?

    • one year ago
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    |dw:1377143292258:dw|

    • one year ago
  22. OpenSessame Group Title
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    Oh wait no! i get it! dont tell me!!

    • one year ago
  23. mathstudent55 Group Title
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    Notice that ON is not the same length as OM, so that side has different dimensions except for the radius which is obviously the same anywhere in the circle.

    • one year ago
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    \[\sqrt{523}\]

    • one year ago
  25. mathstudent55 Group Title
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    Correct. Great job!

    • one year ago
  26. OpenSessame Group Title
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    Now EF?

    • one year ago
  27. mathstudent55 Group Title
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    Now EF is easy.

    • one year ago
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    Its just double right?

    • one year ago
  29. mathstudent55 Group Title
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    Right, but the write it as a decimal rounded off to the nearest tenth.

    • one year ago
  30. OpenSessame Group Title
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    Okay, I got it! Thanks!

    • one year ago
  31. OpenSessame Group Title
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    Mind if i tag you for other questions?

    • one year ago
  32. mathstudent55 Group Title
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    45.7?

    • one year ago
  33. mathstudent55 Group Title
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    Not at all.

    • one year ago
  34. OpenSessame Group Title
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    Thanks:)

    • one year ago
  35. mathstudent55 Group Title
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    wlcm

    • one year ago
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