In the figure below, the regular hexagon is inscribed in the circle. Which is the measure of the arcs (YZBC − ZBC)?

Answer 60 degrees
68 degrees
74 degrees
120 degrees

Question

In the figure below, the regular hexagon is inscribed in the circle. Which is the measure of the arcs (YZBC − ZBC)?

Answer    60 degrees 
   68 degrees 
   74 degrees 
   120 degrees

anonymous · Answer

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anonymous · Answer

it's 60 degrees because the radius of the circle is equal to the length of a side of the regular hexagon so the arc lengths from vertex to vertex are all equal and there are 6 of them so 360 degrees divided by 6 is 60