Pentagon Calculator

Pentagon Calculator - Multi-Tools

Pentagon Calculator

units
units

Results

Area

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Perimeter

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Apothem

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Circumradius

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Diagonal

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Interior Angle

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About Regular Pentagon

A regular pentagon is a five-sided polygon where all sides are equal in length and all angles are equal (108°).

Formulas

Area = (5/4) × s² × cot(π/5)

Perimeter = 5s

Apothem = s/(2 × tan(π/5))

Circumradius = s/(2 × sin(π/5))

Diagonal = s × (1 + √5)/2

Interior Angle = 108°

Where s is the side length.

Properties
  • All sides are equal in length
  • All interior angles are 108°
  • All exterior angles are 72°
  • Has 5 diagonals
  • Can be inscribed in a circle
  • Has 5 lines of symmetry
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