# The perimeter of a square circumscribed about a circle is 16 in. find the perimeter of a regular pentagon inscribed in the same circle

The perimeter of a square circumscribed about a circle is 16 in. find the perimeter of a regular pentagon inscribed in the same circle
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Kendall Ponce
let b be the side of the square
b=16/4=4
R - radius of the circle
R = b/2 = 2
formula for the side of a regular n-gon inscribed in a circle:
$a=2R\ast \mathrm{sin}\left(180/n\right)$
$P=5a=5\ast 2\ast 2\ast \mathrm{sin}\left(180/5\right)=5$ roots out of(10-2 roots out of 5)