Question

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.

Answer 1

Internal angle of a regular pentagone measures:
(n - 2)180 = (5 - 2)180 = 540
540/5 = 108
108/2 = 54

Answer 2

Atriangle = bh/2 = (2x)(y)/2 = xy = (300 ft)^2(cos 54)(sin 54)
Apentagon = 5(Atriangle)

Answer 3

thank you!

Answer 4

you're welcome