- published: 18 Jun 2016
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In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is a polygon that has eight sides. A regular octagon is represented by the Schläfli symbol {8}.
A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order 8. The internal angle at each vertex of a regular octagon is 135° and the sum of all the internal angles is 1080° (as for any octagon). The area of a regular octagon of side length a is given by
In terms of R (circumradius), the area is
In terms of r (inradius), the area is
These last two coefficients bracket the value of pi, the area of the unit circle.
The area can also be derived as follows:
where S is the span of the octagon, or the second shortest diagonal; and a is the length of one of the sides, or bases. This is easily proven if one takes an octagon, draws a square around the outside (making sure that four of the eight sides touch the four sides of the square) and then taking the corner triangles (these are 45–45–90 triangles) and placing them with right angles pointed inward, forming a square. The edges of this square are each the length of the base.
Carlos Ray "Chuck" Norris (born March 10, 1940) is an American martial artist and actor. After serving in the United States Air Force, he began his rise to fame as a martial artist and has since founded his own school, Chun Kuk Do. As a result of his "tough guy" image, an Internet phenomenon began in 2005 known as Chuck Norris facts, ascribing various implausible or even impossible feats to Norris.
Norris appeared in a number of action films, such as Way of the Dragon in which he starred alongside Bruce Lee, and was The Cannon Group's leading star in the 1980s. He next played the starring role in the television series Walker, Texas Ranger from 1993 to 2001.
Norris is a devout Christian and politically conservative. He has written several books on Christianity and donated to a number of Republican candidates and causes. In 2007 and 2008, he campaigned for former Arkansas Governor Mike Huckabee, who was running for the Republican nomination for President in 2008. In the 2012 election he endorsed former Speaker of the House Newt Gingrich. Norris also writes a column for the conservative website WorldNetDaily.
Actors: Tim Weske (miscellaneous crew), Tim Weske (miscellaneous crew), Deborah Dutch (actress), Vernon Wells (actor), Brad Mays (editor), Sophiah Koikas (actress), Sophiah Koikas (actress), Brian Danner (miscellaneous crew), Mark Bedell (actor), Mark Bedell (actor), Mark Bedell (miscellaneous crew), Kestrin Pantera (actress), Smokey Miles (actor), Jackeline Olivier (actress), Mitch Toles (producer),
Plot: Alvareen is the story of a quirky & confused young woman named Alice. Alice is trying to discover why she hears different 'voices' in her mind. Through the help of an earnest, devoted friend named Kevin, the guidance of a Tarot Reader and the manipulations of the scheming Dream Mistress, Alice finds herself in the strange & mysterious world of Castle Yesterday. At the Castle, a wicked wizard named Octagon confronts Alice. He magically splits Alice into two beings: her current self and her past self when she was a Warrior Goddess named Alvareen. Alvareen is a fierce, beautiful princess whose father, King Charles, was killed because of Octagon's quest for power. She is determined to avenge her name and is impatient with Alice's seeming weakness. She reluctantly teaches Alice fighting skills and together they battle both the Shadow Warriors and ultimately, each other. Throughout her journey, Alice meets a myriad of Pirates, Elves, Faeries, Trolls and many other magical and unusual creatures. At the end of the story, Alice must learn how to use her newfound powers wisely and to finally discover real love.
Genres: Fantasy,Actors: Jake Roberts (actor), Rob Kellum (actor), Octagon (actor), Asistencia Asesoría y Administración (director),
Genres: Sport,I want to kill you and share with you my pain.
And if it thrills you I'll gladly kill again.
I want to maim you. Your throat a bleeding well.
And before your damned body's cold you're already in hell.
This is my anger. My hurt and my hate.
This is my fucking despair.
This is my inside. My thorn and my ache.
This is my grind and my tare.
I want to tie you up. Make you beg for release.
I'll whip your body beyond sense. Cut you down piece by piece.
I want to rape you. I'll leave you bleed in death.
This is my lust and my distorted needs.
This is my wrath and my pain.
This is my kind. This is my creed.
This is my body and brain.
This is my anger. My hurt and my hate.
This is my fucking despair.
This is my inside. Mt thorn and my ache.
This is my grind and my tare.
This is my lust and my distorted needs.
This is my wrath and my pain.
This is my kind. This is my creed.
This is my body and brain.