christopulosnick christopulosnick
  • 03-02-2022
  • Mathematics
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If a pentagon has a radius of 16 find the perimeter

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fieryanswererft
fieryanswererft fieryanswererft
  • 03-02-2022

Answer:

94.05 units is the perimeter of this pentagon.

Length of each side in pentagon: 2r × Sin(180/n)

                                 where r is radius and n is number of sides

Using the formula: 2r × Sin(180/n)

                              : 2*16 * sin(180/5)

                              : 18.8 units

Perimeter = 5(18.8) units........5 as we know pentagon has 5 sides

                 = 94.05 units

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