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OpenSessame

  • 2 years 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
    • 2 years ago
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  2. mathstudent55
    • 2 years ago
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    You mean CD is perpendicular to OM and EF to ON, right?

  3. OpenSessame
    • 2 years ago
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    Yea dont know why i wrote parallel

  4. mathstudent55
    • 2 years ago
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    Can you find MD?

  5. OpenSessame
    • 2 years ago
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    No...

  6. mathstudent55
    • 2 years ago
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    |dw:1377142738745:dw|

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

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

  9. mathstudent55
    • 2 years ago
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    Radius OP bisects chord AC, so AB = BC

  10. mathstudent55
    • 2 years ago
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    |dw:1377142881604:dw|

  11. mathstudent55
    • 2 years 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
    • 2 years ago
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    22?

  13. mathstudent55
    • 2 years 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
    • 2 years ago
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    \[\sqrt{884}\]

  15. mathstudent55
    • 2 years ago
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    |dw:1377143069512:dw|

  16. mathstudent55
    • 2 years ago
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    Correct, but you can simplify it.

  17. OpenSessame
    • 2 years ago
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    Should I because it says just leave it in radical form...

  18. OpenSessame
    • 2 years 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
    • 2 years ago
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    Ok. Next. What is FN?

  20. OpenSessame
    • 2 years ago
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    Would that be 22? Because they are perpendicular?

  21. mathstudent55
    • 2 years ago
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    |dw:1377143292258:dw|

  22. OpenSessame
    • 2 years ago
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    Oh wait no! i get it! dont tell me!!

  23. mathstudent55
    • 2 years 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
    • 2 years ago
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    \[\sqrt{523}\]

  25. mathstudent55
    • 2 years ago
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    Correct. Great job!

  26. OpenSessame
    • 2 years ago
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    Now EF?

  27. mathstudent55
    • 2 years ago
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    Now EF is easy.

  28. OpenSessame
    • 2 years ago
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    Its just double right?

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

  30. OpenSessame
    • 2 years ago
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    Okay, I got it! Thanks!

  31. OpenSessame
    • 2 years ago
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    Mind if i tag you for other questions?

  32. mathstudent55
    • 2 years ago
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    45.7?

  33. mathstudent55
    • 2 years ago
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    Not at all.

  34. OpenSessame
    • 2 years ago
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    Thanks:)

  35. mathstudent55
    • 2 years ago
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    wlcm

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