Big ifs, question writers. These are of course approximations.
The "co" in cosine comes from complementary angles. It means since
Answer: cos 48° = 2/3
Similarly,
Answer: tan 69.5° = 8/3
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:
0.6875
Step-by-step explanation:
you're welcome.
Sin(pi/6) = 1/2
tan(pi/4) = 1
