anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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mathstudent55
  • mathstudent55
You mean CD is perpendicular to OM and EF to ON, right?
anonymous
  • anonymous
Yea dont know why i wrote parallel

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mathstudent55
  • mathstudent55
Can you find MD?
anonymous
  • anonymous
No...
mathstudent55
  • mathstudent55
|dw:1377142738745:dw|
anonymous
  • anonymous
Its a right triangle? so can you you the Pythagorean theorem?
mathstudent55
  • mathstudent55
In the circle above, radius OP is perpendicular to chord AC.
mathstudent55
  • mathstudent55
Radius OP bisects chord AC, so AB = BC
mathstudent55
  • mathstudent55
|dw:1377142881604:dw|
mathstudent55
  • mathstudent55
Now look at your figure again. Notice segment OM and chord CD. What is the length of MD?
anonymous
  • anonymous
22?
mathstudent55
  • mathstudent55
Right. Now draw the radius OD. Since you know two sides of a right triangle, you can find the third side.
anonymous
  • anonymous
\[\sqrt{884}\]
mathstudent55
  • mathstudent55
|dw:1377143069512:dw|
mathstudent55
  • mathstudent55
Correct, but you can simplify it.
anonymous
  • anonymous
Should I because it says just leave it in radical form...
anonymous
  • anonymous
I can simplify it myself i know how to do that part lol, but i just need help with the rest!
mathstudent55
  • mathstudent55
Ok. Next. What is FN?
anonymous
  • anonymous
Would that be 22? Because they are perpendicular?
mathstudent55
  • mathstudent55
|dw:1377143292258:dw|
anonymous
  • anonymous
Oh wait no! i get it! dont tell me!!
mathstudent55
  • mathstudent55
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.
anonymous
  • anonymous
\[\sqrt{523}\]
mathstudent55
  • mathstudent55
Correct. Great job!
anonymous
  • anonymous
Now EF?
mathstudent55
  • mathstudent55
Now EF is easy.
anonymous
  • anonymous
Its just double right?
mathstudent55
  • mathstudent55
Right, but the write it as a decimal rounded off to the nearest tenth.
anonymous
  • anonymous
Okay, I got it! Thanks!
anonymous
  • anonymous
Mind if i tag you for other questions?
mathstudent55
  • mathstudent55
45.7?
mathstudent55
  • mathstudent55
Not at all.
anonymous
  • anonymous
Thanks:)
mathstudent55
  • mathstudent55
wlcm

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