SOLUTION: A square sheet of metal with sides 4a has a circle of diameter 2a and a rectangle of length 2a and width a removed from it . What is the area of the remaining metal in terms of \p

Algebra ->  Surface-area -> SOLUTION: A square sheet of metal with sides 4a has a circle of diameter 2a and a rectangle of length 2a and width a removed from it . What is the area of the remaining metal in terms of \p      Log On


   

Question 1180848: A square sheet of metal with sides 4a has a circle of diameter 2a and a rectangle of length 2a and width a removed from it . What is the area of the remaining metal in terms of \pi
Answer by MathLover1(20849) About Me  (Show Source):
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A square area =%284a%29%5E2=16a%5E2
a circle of diameter d=2a =>r=a
a circle area=a%5E2%2Api
a rectangle of length 2a and width a removed from it
a rectangle area=2a%2Aa=2a%5E2
the area of the remaining metal in terms of pi:
16a%5E2-pi%2Aa%5E2%2B2a%5E2%29
16a%5E2-a%5E2%2Api+-2a%5E2
14a%5E2-a%5E2%2Api+