In geometry, a pentagon (from pente, which is Greek for the number 5) is any five-sided polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 540°. A pentagram is an example of a self-intersecting pentagon.
In a regular pentagon, all sides are equal in length and each interior angle is 108°. A regular pentagon has five lines of reflectional symmetry, and rotational symmetry of order 5 (through 72°, 144°, 216° and 288°). Its Schläfli symbol is {5}. The diagonals of a regular pentagon are in golden ratio to its sides.
The area of a 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.
When a regular pentagon is inscribed in a circle with radius R, its edge length t is given by the expression
The area of any regular polygon is:
Bret Baier (born August 4, 1970 in Rumson, New Jersey) is an American journalist and the host of Special Report with Bret Baier on Fox News Channel. He previously worked as the network's Chief White House Correspondent and Pentagon correspondent.
Baier began his television career with WRAL-TV, the CBS affiliate in Raleigh, North Carolina. He sent an audition tape to Fox News in 1998, and was hired as the network's Atlanta bureau chief. On September 11, 2001, he drove from Georgia to Arlington, Virginia to cover the attack on the Pentagon. He never returned to the Atlanta bureau and was instead tapped as the network's Pentagon correspondent, remaining at the post for five years and taking 11 trips to Afghanistan and 13 trips to Iraq. He became Fox News's White House correspondent in 2007, covering the administration of George W. Bush. In the fall of 2007, he began substituting for Brit Hume, then the anchor of Special Report, on Fridays.
On December 23, 2008, Brit Hume anchored his final show and announced Baier would replace him as anchor of Special Report. He hosted his first show as permanent anchor on January 5, 2009.
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