charliekrupa1229 charliekrupa1229
  • 26-11-2016
  • Mathematics
contestada

What radius of a circle is required to inscribe a regular hexagon with an area of 166.28 in2 and an apothem of 6.928 in?

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 28-11-2016
If you want to inscribe a polygon inside a circle, you have a formula that doesn't have to use the apothem. The formula is:

A = (nr²/2)sin(360/n)

Since the polygon is a hexagon, it has 6 sides. Thus, n = 6. Knowing the area, we can determine the radius of the circle, r.

166.28 = (6r²/2)sin(360/6)
r = 8 inches

Thus, the radius of the circle is 8 inches.
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kiddmeme013
kiddmeme013 kiddmeme013
  • 23-01-2019

Answer:8


Step-by-step explanation:


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