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In the diagram, K, O and M are the centers of the three semi-circles. Also, OC = 32 and OM = 36. What is the length of AC?

 

 Jul 4, 2022
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CM =  OM - OC =  36  - 32 =  4

 

So MB =  4

 

So OB  =   OM + MB  =  36 + 4 =  40   = the radius of the largest circle

 

So AO = 40

 

And AO +  OC =     40 + 32  =  72 =   AC 

 

 

 

cool cool cool

 Jul 4, 2022

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