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Mathematics 9 Online
OpenStudy (anonymous):

line AB is tangent to circle O at B. What is the length of the radius r? Round to the nearest tenth.

OpenStudy (anonymous):

OpenStudy (anonymous):

can you please help? @Jhannybean

OpenStudy (anonymous):

is it 3.6? O:

OpenStudy (anonymous):

@Hero

OpenStudy (anonymous):

hint" the angle AB makes with radius r=90 degrees.

OpenStudy (anonymous):

other wise, that AB is not instantaneous rate of change @ point of intersection.

OpenStudy (jhannybean):

Well,use the pythagorean theorem. Since AB is tangent to the circle line AB and the radius, r make create a perpendicular angle, 90 degrees.

OpenStudy (anonymous):

so im wrong? @katherine.ok

OpenStudy (jhannybean):

sorry, the radius perpendicularly bisects line AB, which is tangent to the circle.

OpenStudy (jhannybean):

And this in turn creates a right triangle, A0B

OpenStudy (anonymous):

yes you are wrong.

OpenStudy (jhannybean):

Use the pythagorean theorem : \(\large c^2 = a^2 + b^2\) where c = hypotenuse = 8.6 and a= r, and b = 5

OpenStudy (anonymous):

my next guess would have to be 7.0

OpenStudy (anonymous):

okay ill do that then

OpenStudy (jhannybean):

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OpenStudy (jhannybean):

\[\large c^2 = a^2 + b^2\]\[\large (8.5)^2 = (5)^2 + r^2 \]\[\large r^2 = (8.5)^2 - (5)^2 \]\[\large r = \sqrt{(8.5)^2 -(5)^2}\] solve for r.

OpenStudy (anonymous):

8.5^2= a^2+5^2

OpenStudy (anonymous):

@Ahmad1

OpenStudy (anonymous):

need any there :)

OpenStudy (anonymous):

would you say 7.0? o:

OpenStudy (anonymous):

about right because 8.6^2= 7^2+5^2

OpenStudy (anonymous):

yes I would ;)

OpenStudy (anonymous):

finally im right :D lol thanks guys !

OpenStudy (anonymous):

you are always right dude @cocopuffs90

OpenStudy (anonymous):

thanks dude!

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