For a class project, a teacher cuts out 15 congruent circles from a single sheet of paper that measures 6 inches by 10 inches. H
ow much paper is wasted? (60 – 15π) square inches 15π square inches 45 square inches (60 – π) square inches
2 answers:
Answer:
60 – 15π square inches
Step-by-step explanation:
Assuming a diameter of 2 inches for each circle, then because the height of the sheet is 6 inches and the length is 10 inches, 5 columns of 3 circles each, are formed (see picture attached).
The area of each circle is: (π*D^2)/4 = (π*2^2)/4 = π square inches
The area of the 15 circles is: 15π square inches
The area of the sheet is = 6*10 = 60 square inches
The wasted paper is equal to the difference between the area of the sheet and the area of all circles, that is, 60 – 15π square inches
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