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The original site chosen for the Pentagon was a tract of land known as Arlington Farms. The site was bordered by five roadways thus dictating the concept of a pentagonal shaped building. Fearing the enormous building would interfere with the view of Washington DC from Arlington Cemetery, President Franklin Delano Roosevelt directed the building be moved three quarters of a mile down river.
Since five roads surrounded the site, builders chose a five-sided building, which is how the Pentagon got its name.
Its unusual shape results from the fact that its originally intended site, Arlington Farms, fronted on Arlington Ridge Road and the Arlington Memorial Bridge approach, which intersected at an angle of approximately 108 degrees (the angle of a regular pentagon).  President Franklin D. Roosevelt had it constructed at its current location because he didn't want the new building to obstruct the view of Washington, D.C. from Arlington Cemetery.