You Forgot The Radius Again!
A regular hexagon is inscribed in a circle. Which of these shapes has a larger perimeter? The hexagon, or the circle?
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2 solutions
Moderator note:
Yes, that's essentially the argument.
Why is it true? Why is this property known as?
Hey guys can we look at it like this :
Clearly since it is a regular hexagon the sides are also equal to r.
Where r is the radius of the circle.
Now perimeter of regular hexagon is 6 ∗ r = 6r
and perimeter of circle is 2 ∗ p i ∗ r
Considering pi = 3.14 we get 6 . 2 8 r > 6 r
So clearly circle's perimeter is greater.