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Points A and B are on circle O such that arc AB is 88 degrees. A circle is constructed that passes through A, B, and O. Find the measure of arc AOB on this circle.

 

 Oct 31, 2020
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Let's denote a center of a smaller circle with a letter C

 

∠AOC = ∠CAO = 88 / 2 = 44º 

 

∠ACO = 180 - 88 = 92º

 

The measure of arc AOB = 2 * 92 = 184º

 Oct 31, 2020

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