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Hexagon inscribed in a circle, need help explaining.

imjkvelasco  May 15, 2017
 #1
avatar+7155 
+3

 

 

In the center, there are 6 angles. The sum of the measures of these 6 angles = 360º

Since each angle has the same measure, we can say 6 * measure of one of these angles = 360º

so...

the measure of one of these angles = 360º/6 = 60º

 

In the picture, I just added 60º to the measure every time I went another 60º.

So, when Q is rotated 240º clockwise, it will end up where U is now.

hectictar  May 15, 2017
 #2
avatar+87301 
+3

Note that each successive point is separated by 60°......so......

 

Going clockwise four points from G  =  4 * 60°  =  240°  gives us point U as a result

 

 

cool cool cool

CPhill  May 15, 2017

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