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26 votes
If a pentagon has a radius of 16 find the perimeter

User Andrea Colleoni
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1 Answer

15 votes
15 votes

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

User Lbusett
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