First, we need to find the area of the rectangular sheet of cardboard:
Area = length x width
Area = 100cm x 60cm
Area = 6000cm²
Next, we need to find the area of one circular badge:
Radius = diameter ÷ 2 = 14cm ÷ 2 = 7cm
Area = pi x radius²
Area = 3.14 x 7cm²
Area = 153.86cm²
Now we can find the number of badges that can be cut from the rectangular sheet:
Number of badges = Area of rectangular sheet ÷ Area of one badge
Number of badges = 6000cm² ÷ 153.86cm²
Number of badges ≈ 39.03
Since we can't cut a fraction of a badge, Alex will be able to cut 39 badges from this sheet of cardboard.
Use 3.14 as pi. 100 is the length and 60 is the width.
Alex wants to cut out as many circular badges as possible from this rectangular sheet of cardboard. the diameter of each badge is 14 cm. how many badges can he cut?
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