Differences Between a Pentagon & a Hexagon

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A pentagon and a hexagon may seem similar, but in reality they have a few key differences. Learn about the differences between a pentagon and a hexagon with help from a mathematics educator in this free video clip.

Part of the Video Series: Mathematics Equations & More
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Video Transcript

Hi, my name is Jimmy Chang and we're here to talk about the differences between a hexagon and a pentagon. The differences between the two are really in the words themselves, their prefixes. And so lets talk about those first. With a pentagon the important thing to look at is the prefix penta. Penta means 5. And so a pentagon is a 5 sided polygon. Now with a hexagon the prefix there is hexa which is going to be 6. So a hexagon is going to be a 6 sided polygon. So we have a 5 sided closed shape versus a 6 sided closed shape. Now another difference between the two, let me give you this particular formula here. (N-2) 180 degrees, is that between the two shapes there's going to be a difference in terms of the total number of degrees in each shape. Now with a pentagon, because it's 5 sides, if you plug in this formula you have 5-2x180. 5-2 is 3 x 180 is going to be 540 degrees. Where as if you plug in the hexagon, a 6 sided figure, you have (6-2) 180. 6-2 being 4 x 180 will give you a total of 720 degrees. So theres a 180 degree difference between the interior angles of the two shapes. So basically where pentagon and hexagon will differ will be the number of sides and the total number of degrees between the two shapes. So I'm Jimmy Chang and those are the differences between a pentagon and a hexagon.

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