SOLUTION: A semicircular window of radius 12 inches is to be laminated with a sunblck coating that costs $0.75 per square inch to apply. What is the total cost of coating the window, to the
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Question 193226: A semicircular window of radius 12 inches is to be laminated with a sunblck coating that costs $0.75 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (use n=3.24,Hint: Area of circle: A=nr^2) Answer by MathGuyJoe(20) (Show Source):
You can put this solution on YOUR website! Since the area of a circle is , the area of a semi-circle is half that, or .
In this case, the radius (r) of the semi-circle is 12 in. Substituting in we get: sq. in.
Simplifying gives us:
sq. in., or sq. in.
Substituting 3.14 in for gives us:
sq. in.
This is the window's area, in square inches. Multiplying this by the laminate's price per square inch gives you a cost of:
226.08 * $0.75 = $169.56
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