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OpenSessame

  • one year ago

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.

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

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

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

  5. OpenSessame
    • one year ago
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    No...

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

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

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

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

  10. mathstudent55
    • one year ago
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    |dw:1377142881604:dw|

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

  12. OpenSessame
    • one year ago
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    22?

  13. mathstudent55
    • one year ago
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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.

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

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

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

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

  18. OpenSessame
    • one year ago
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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!

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

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

  21. mathstudent55
    • one year ago
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    |dw:1377143292258:dw|

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

  23. mathstudent55
    • one year ago
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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.

  24. OpenSessame
    • one year ago
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    \[\sqrt{523}\]

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

  26. OpenSessame
    • one year ago
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    Now EF?

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

  28. OpenSessame
    • one year ago
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    Its just double right?

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

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

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

  32. mathstudent55
    • one year ago
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    45.7?

  33. mathstudent55
    • one year ago
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    Not at all.

  34. OpenSessame
    • one year ago
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    Thanks:)

  35. mathstudent55
    • one year ago
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    wlcm

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