We know that
[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
The formula of circumference: 兀×diameter
In this case:
3.14×11
=34.54cm
Nearest hundreth = 2 demical places
Therefore, the answer is 34.54cm.
Hope it helps!
< ABC is a straight angle
no right angles
no complimentary angles
< ABD and < DBC are supplementary angles
It will cost $14,400 to do the triangle the hotel plans to do.
