Mathematics: (1 2/3)+(3 2/3) i need help with this math promblem

(1 2/3)+(3 2/3) i need help with this math promblem

victoria02117

16.02.2022

we know that

the area of a regular polygon is equal to

$A=\frac{1}{2} r^{2}n sin(\frac{360}{n})$

where

r is the radius of the regular polygon

n is the number of sides of the regular polygon

In this problem we have

$r=20\ in\\n=6$

substitute the values in the formula

$A=\frac{1}{2}*20^{2}*6*sin(\frac{360}{6})$

$A=3*20^{2}*sin(60)$

$A=3*20^{2}*\frac{\sqrt{3}}{2}$

$A=1,038\ in^{2}$

therefore

the answer is

the approximate area of the hexagon is 1,038 in.2

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