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The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon. The pentagon could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard. Round to the nearest tenth.

 Aug 25, 2015

Best Answer 

 #1
avatar+128400 
+5

The pentagon will have 5 equal triangles.....each will have an area given by:

 

A  = (1/2)(300^2)sin(72) = 42797.543233275 sq ft

 

And 5 times this = 213987.716166375 sq ft = 213987.7  sq ft   [ rounded to the nearest tenth ]

 

 

 Aug 25, 2015
 #1
avatar+128400 
+5
Best Answer

The pentagon will have 5 equal triangles.....each will have an area given by:

 

A  = (1/2)(300^2)sin(72) = 42797.543233275 sq ft

 

And 5 times this = 213987.716166375 sq ft = 213987.7  sq ft   [ rounded to the nearest tenth ]

 

 

CPhill Aug 25, 2015

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