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
Answer:
Answer is C
Step-by-step explanation:
Im not sure why it brought me here it just brought me here sorry
Distinct prime factors are factors that can not be reduced any further.... Such factors are like 3,5, and 7.
The benchmark angles are angles that are used as references like- 30 degrees, 45 degrees, 60 degrees, etc.
The closest angles to given rotation angles are:
A- 40- closest to the multiple of 45 degrees.
B- 140- closest to the multiple of 45 degrees (135 degree).
C- 170- closest to the multiple of 30 degrees (closest to 180 degrees which is multiple of both 30 and 45 degrees).
D- 220 -closest to the multiple of 30 degrees (210 degree).
E- 250- closest to the multiple of 30 degrees (240 degree).
F- 310- closest to the multiple of 45 degrees (315 degree).