katelynalivia
katelynalivia katelynalivia
  • 13-04-2019
  • Mathematics
contestada

find the area of a regular hexagon with a radius of 8 and an apothem of 4 squareroot 3. round your answer to the nearest tenth.

Respuesta :

calculista
calculista calculista
  • 22-04-2019

Answer:

The area of the regular hexagon is 166.3 units^{2}  

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to the area of six equilateral triangles

so

The area of a regular hexagon is

A=6[(1/2)bh]

The length side of the regular hexagon is equal to the radius

b=8 units

h=4\sqrt{3}  units -----> the apothem

substitute the values

A=6[(1/2)(8)(4\sqrt{3})]=166.3 units^{2}  

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