SOLUTION: a triangular piece of gold foil is 4m on a side. Three 60 degree sectors of circles with radius 2m are cut from the foil. Find the amount of foil not used

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Question 1172202: a triangular piece of gold foil is 4m on a side. Three 60 degree sectors of circles with radius 2m are cut from the foil. Find the amount of foil not used
Answer by ikleyn(52862) About Me  (Show Source):
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Three 60 degrees sectors of circles with radius 2 m MAKE one half circle piece of the radius 2 m.


So, compare the area of the equilateral triangle with the side of a= 4 m against the area of the half circle of the radius r = 2 m.


    the difference = a%5E2%2A%28sqrt%283%29%2F4%29 - %281%2F2%29%2Api%2Ar%5E2 = 4%5E2%2A%28sqrt%283%29%2F4%29+-+%281%2F2%29%2A3.14%2A2%5E2 = 0.6648 m^2  (rounded).    ANSWER

Solved.