In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.

A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.

Regular pentagons

A regular pentagon has Schläfli symbol {5} and interior angles are 108°.

A regular pentagon has five lines of reflectional symmetry, and rotational symmetry of order 5 (through 72°, 144°, 216° and 288°). The diagonals of a convex regular pentagon are in the golden ratio to its sides. Its height (distance from one side to the opposite vertex) and width (distance between two farthest separated points, which equals the diagonal length) are given by

where R is the radius of the circumcircle.

The area of a convex regular convex pentagon with side length t is given by

A pentagram or pentangle is a regular star pentagon. Its Schläfli symbol is {5/2}. Its sides form the diagonals of a regular convex pentagon – in this arrangement the sides of the two pentagons are in the golden ratio.

Crime is present in various forms in the Philippines.

Crime by type

Organized crime

Organized crime in the Philippines can linked to certain families or barkadas (groups) who perpetrate crimes ranging from extortion, sale of illegal narcotics and loan sharking to robbery, kidnapping, and murder-for-hire.

Petty crime

Petty crime, which includes pick-pocketing, is a problem in the Philippines. It takes place usually in locations with many people, ranging from shopping hubs to churches. Traveling alone to withdraw cash after dark is a risk, especially for foreigners.

Violent crime

Violent crime is high in the country; foreigners are usually the victims. As many Filipinos are stricken with poverty, one alternative they take is to kidnap others for money.

Prostitution

Prostitution in the Philippines is illegal. It is a serious crime with penalties ranging up to life imprisonment for those involved in trafficking. It is covered by the Anti-Trafficking in Persons Act.prostitution is still sometimes illegally available through brothels (also known as casa), bars, karaoke bars, massage parlors, street walkers and escort services.As of 2009, one source estimates that there are 800,000 women working as prostitutes in the Philippines, with some of them believed to be underage. While victims are largely female, and according to the current Revised Penal Code, there are in fact a small minority of them who are male.

Pentagón is a Lucha Libre, or professional wrestling ring character also referred to as a gimmick that has been played by a number of different people over the years. The character was created as an Evil twin of professional wrestler Octagón and is always a rudo, or heel character (A character portraying the "bad guy" in wrestling.) The character was created by Asistencia Asesoría y Administración (AAA) owner Antonio Peña in 1995, giving AAA the rights to the name "Pentagón", which meant that when wrestlers who played Pentagón left AAA they had to modify the name such as "Pentagón Black". There have been at least three distinctive versions of Pentagón

Following the introduction of the Pentagón character Peña also introduced Pentagoncito, a Mini-Estrellas of Pentagón to act as the protagonist against the Mini-Estrella Octagoncito. There has been at least two diffent people under the Pentagoncito character. In 2012 AAA introduced Octagón, Jr., which led to the introduction of Pentagón Jr. a few months later.