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Find the radius of each semicircle.

 

 Jan 21, 2021
 #1
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The point of tangency  is  the center of the  rectangle   =  ( 50,25)

The center of the  circle on the top left  =   (r, 50)    where  r is the  radius

 

So  the  distance  from  ( r, 50)  to  (0 ,50)  =   the distance from (r , 50)  to  (50,25)

 

Using  the  square of the distance  formula we have that

 

r^2   =   (r  -50)^2  +  ( 50 -25)^2

 

r^2  = r^2  - 100a  + 2500  +  625

 

100r  =  3125

 

r =   31. 25  = the radius

 

 

cool cool cool

 Jan 21, 2021

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