Pentagon

A pentagon is a polygon with five straight sides and five angles. The sum of the interior angles of a pentagon is always 540 degrees. Each interior angle of a regular pentagon measures 108 degrees.

A regular pentagon has all its sides and angles equal in measure. An irregular pentagon has sides and/or angles of different measures.

Here is an example of a regular pentagon:

To find the perimeter of a pentagon, you add the lengths of all five sides together. To find the area of a regular pentagon, you can use the formula:

A = (5/4) * s * t

where s is the length of a side and t is the apothem (the distance from the center to the midpoint of a side).

Understanding the properties of a pentagon can help in identifying, classifying, and solving problems related to shapes and geometry.

Summary

• A pentagon is a polygon with five sides and five angles.
• The sum of the interior angles of a pentagon is 540 degrees.
• A regular pentagon has all equal sides and angles, while an irregular pentagon has sides and/or angles of different measures.
• The perimeter of a pentagon is the sum of its five sides.
• The area of a regular pentagon can be found using the formula A = (5/4) * s * t, where s is the side length and t is the apothem.