Regular pentagon: find the interior angle

An example figure from the Regular Polygon Generator.

A regular pentagon with its bottom side labeled 6 and the angle in its bottom left corner marked with an arc and labeled x
A regular pentagon with its bottom side labeled 6. The interior angle in its bottom left corner is marked with an arc and labeled x, for students to find from the number of sides. No center or other lines are drawn.

Editing opens it in the Regular Polygon Generator with these settings, to change anything and copy or download your own.

Answer key

  • Pentagon: 5 sides
  • Side 6, apothem 4.1, radius 5.1
  • Each interior angle 108°, central angle 72°
  • Perimeter 30, area 61.9

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