SOLUTION: Find the area of a regular hexagon with the given measurement. 4-inch side A = sq. in.

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Question 279231: Find the area of a regular hexagon with the given measurement.
4-inch side
A = sq. in.
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area of a regular hexagon with the given measurement.
4-inch side
A = sq. in.
from http://www.mathopenref.com/polygonregulararea.html:
+area+=+%28S%5E2+%2A+N%29%2F%284+%2A+tan%28pi%2FN%29%29+
where
S is the length of any side
N is the number of sides
+pi+ is PI, approximately 3.142
TAN is the tangent function calculated in radians
+area+=+%284%5E2+%2A+6%29%2F%284+%2A+tan%28pi%2F6%29%29+
+area+=+%2816+%2A+6%29%2F%284+%2A+sqrt%283%29%2F3%29+
+tan%28pi%2F6%29+=+sqrt%283%29%2F3+=+approximately+0.57735027+
+area+=+96%2F%284+%2A+sqrt%283%29%2F3%29+
+area+=+24%2F%28sqrt%283%29%2F3%29+
+area+=+24+%2A+3%2Fsqrt%283%29+
+area+=+72%2Fsqrt%283%29+
+area+=+%2872+%2A+sqrt%283%29%29%2F3+
+area+=+24sqrt%283%29+
+area+=+approximately+41.569+square+inches+