## 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. 11 months ago 11 months ago

1. OpenSessame Group Title

2. mathstudent55 Group Title

You mean CD is perpendicular to OM and EF to ON, right?

3. OpenSessame Group Title

Yea dont know why i wrote parallel

4. mathstudent55 Group Title

Can you find MD?

5. OpenSessame Group Title

No...

6. mathstudent55 Group Title

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7. OpenSessame Group Title

Its a right triangle? so can you you the Pythagorean theorem?

8. mathstudent55 Group Title

In the circle above, radius OP is perpendicular to chord AC.

9. mathstudent55 Group Title

Radius OP bisects chord AC, so AB = BC

10. mathstudent55 Group Title

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11. mathstudent55 Group Title

Now look at your figure again. Notice segment OM and chord CD. What is the length of MD?

12. OpenSessame Group Title

22?

13. mathstudent55 Group Title

Right. Now draw the radius OD. Since you know two sides of a right triangle, you can find the third side.

14. OpenSessame Group Title

$\sqrt{884}$

15. mathstudent55 Group Title

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16. mathstudent55 Group Title

Correct, but you can simplify it.

17. OpenSessame Group Title

Should I because it says just leave it in radical form...

18. OpenSessame Group Title

I can simplify it myself i know how to do that part lol, but i just need help with the rest!

19. mathstudent55 Group Title

Ok. Next. What is FN?

20. OpenSessame Group Title

Would that be 22? Because they are perpendicular?

21. mathstudent55 Group Title

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22. OpenSessame Group Title

Oh wait no! i get it! dont tell me!!

23. mathstudent55 Group Title

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 Group Title

$\sqrt{523}$

25. mathstudent55 Group Title

Correct. Great job!

26. OpenSessame Group Title

Now EF?

27. mathstudent55 Group Title

Now EF is easy.

28. OpenSessame Group Title

Its just double right?

29. mathstudent55 Group Title

Right, but the write it as a decimal rounded off to the nearest tenth.

30. OpenSessame Group Title

Okay, I got it! Thanks!

31. OpenSessame Group Title

Mind if i tag you for other questions?

32. mathstudent55 Group Title

45.7?

33. mathstudent55 Group Title

Not at all.

34. OpenSessame Group Title

Thanks:)

35. mathstudent55 Group Title

wlcm