SOLUTION: Dear Sir / Madam;
Kindly help me with this word problem.
Given a regular pentagon of side 42 cm. find the area of:
a) the pentagon
b) the inscribed circle
c) the circumscribed
Algebra ->
Polygons
-> SOLUTION: Dear Sir / Madam;
Kindly help me with this word problem.
Given a regular pentagon of side 42 cm. find the area of:
a) the pentagon
b) the inscribed circle
c) the circumscribed
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Question 826586: Dear Sir / Madam;
Kindly help me with this word problem.
Given a regular pentagon of side 42 cm. find the area of:
a) the pentagon
b) the inscribed circle
c) the circumscribed circle
Thank you so much for your help! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Given a regular pentagon of side 42 cm. find the area of:
a) the pentagon
Regular Pentagon made up of 5 regular triangles.
Area of each triangle:
height = sqrt[42^2-(21/2)^2] = 40 2/3 cm
a = (1/2)(21)(40 2/3) = 427 cm^2
Area of Pentagon:: 5*427 = 2135.02 cm^2
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b) the inscribed circle
Radius = 40 2/3 cm
Area = pi*(40 2/3)^2 = 1653.75 cm^2
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c) the circumscribed circle
Radius = 42 cm
Area = pi(42^2) = 5541.77 cm^2
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Cheers,
Stan H.
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