A tricky geometry question

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I tried for more than an hour to solve the below problem but got nothing. I tried to make a copy and flip it vertically and attach it to the original shape but no more happened. $AB=9,DC=16\\AO=OD$ enter image description here

This is half of a circle . I don't how apply $distance -of -A- to -circle=distance -of -B- to -circle$ as a result of $AO=OD$

Can someone help me to start to sloving,please? Implicitly I tied two below figure enter image description here