47 cm is the perimeter of the figure
<h3>How to find the perimeter of a pentagon using the radius?</h3>
Perimeter is the distance around the edge of a shape. It can be found by adding up the side lengths of the shapes
Given: radius (r) = 8 cm
First, we need to find the side length of the pentagon using the formula: Side length (a) = 2r × Sin(180/n)
where n is the number of sides. In this case n = 5
Side length (a) = 2(8) × Sin(180/5) = 16×Sin(36) = 9.4 cm
The perimeter of the regular pentagon can be determined using the formula:
Perimeter = 5a
Perimeter = 5 × 9.4 = 47 cm
Therefore, the perimeter of the figure is 47 cm
Learn more about perimeter of regular pentagon on:
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