Simple regular concave polygons

Geometry Level 1

Can a simple regular polygon be concave?

No Yes

Jesse Nieminen by Jesse Nieminen , 23, Finland

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Sam Bealing
Jun 23, 2016

The angles in a regular polygon with n n sides are 180 ° − 360 ° n ≤ 180 ° 180°-\dfrac{360°}{n} \leq 180° hence it cannot be concave (as a concave polygon must have an angle greater than 180 ° 180° )

8 Helpful 0 Interesting 0 Brilliant 0 Confused

I think the important word in the question is 'simple'. This rules out stars, which in a sense can in fact be regular, concave polygons. However, they are non-simple.

Miles Koumouris - 4 years, 5 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...