SOLUTION: A regular pentagon whose perimeter is 284 cm is circumscribed about a circle. Find:
a. The diameter of the circle.
b. The area of the circle.
c. The area of the pentagon.
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-> SOLUTION: A regular pentagon whose perimeter is 284 cm is circumscribed about a circle. Find:
a. The diameter of the circle.
b. The area of the circle.
c. The area of the pentagon.
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Question 1013638: A regular pentagon whose perimeter is 284 cm is circumscribed about a circle. Find:
a. The diameter of the circle.
b. The area of the circle.
c. The area of the pentagon. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A regular pentagon whose perimeter is 284 cm is circumscribed about a circle. Find:
Side of the pentagon s = 284/5 = 56.8 cm
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a. The diameter of the circle.
The radius is the apothem.
r = (s/2)*cot(36) =~ 39.089 cm
d = 78.178 cm
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b. The area of the circle.
=~ 4800.257 sq cm
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c. The area of the pentagon. n = # of sides = 5
= 5*56.8^2*cot(36)/4
=~ 5550.76 sq cm
