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Points T and U are on circle K such that K is 2 units from TU. If TU = 14, what is the radius of the circle?

 May 19, 2021
 #1
avatar+205 
-1

I don't know if this is exactly right, but I think the radius is 6.

 May 19, 2021
 #2
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0

huh  i got √53

Guest May 19, 2021
 #3
avatar+121056 
+2

Assuming K  is  the  center.....if  we  bisect TU  at  M   we  get  that   TM  =  UM  =  7

And  KMU  = KMT   are  congruent right triangles....so  ...looking at one of these

KT  =  the  radius   and  hypotenuse

KM   is  a  leg =  2

TM is  another  leg  =  7

 

The  radius  =    sqrt ( 2^2  + 7^2)  =  sqrt  ( 4 + 49)  = sqrt (53)

 

cool cool cool

 May 19, 2021
 #4
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+1

i trust chris more, so im gonna go with my old answer, √53

Guest May 19, 2021

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