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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.
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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mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2You mean CD is perpendicular to OM and EF to ON, right?

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Yea dont know why i wrote parallel

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1377142738745:dw

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Its a right triangle? so can you you the Pythagorean theorem?

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2In the circle above, radius OP is perpendicular to chord AC.

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Radius OP bisects chord AC, so AB = BC

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1377142881604:dw

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Now look at your figure again. Notice segment OM and chord CD. What is the length of MD?

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Right. Now draw the radius OD. Since you know two sides of a right triangle, you can find the third side.

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1377143069512:dw

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Correct, but you can simplify it.

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Should I because it says just leave it in radical form...

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1I can simplify it myself i know how to do that part lol, but i just need help with the rest!

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Ok. Next. What is FN?

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Would that be 22? Because they are perpendicular?

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1377143292258:dw

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Oh wait no! i get it! dont tell me!!

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Notice 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.

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Correct. Great job!

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Its just double right?

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.2Right, but the write it as a decimal rounded off to the nearest tenth.

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, I got it! Thanks!

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.1Mind if i tag you for other questions?
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