SOLUTION: The cross section of a pipe is formed by two concentric circles such that the bigger one circumscribes a regular hexagon of sides measuring 9.40 cm while the other one is inscribed
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Question 1153296: The cross section of a pipe is formed by two concentric circles such that the bigger one circumscribes a regular hexagon of sides measuring 9.40 cm while the other one is inscribed in it. Find the cross-sectional area of the pipe.
A.69.40 cm2
B.64.90 cm2
C.60.94 cm2
D.60.04 cm2 Answer by ikleyn(52788) (Show Source):
The outer radius of the pipe is R = 9.40 cm.
The interior radius of the pipe is the apothem of the regular hexagon, so its length is r = = 8.14 cm.
The cross-sectional are is the difference of the area of the bigger and smaller circles
- = = 69.43 cm^2.
