Question

Cover for cans are stamped out of sheet of metal . How many square centimeter of waste material is there when the covers are cut from a square 5 cm wide ? Use 3.14 for pie

Answer 1

Answer:

5.375  cm²

Step-by-step explanation:

To get the maximum area of a circle out of a square

⇒ The diameter of the circle is the length of the square

Find the area of the square:

Area = Length x Length

Area = 5 x 5

Area = 25 cm²

Find the area of the circle:

Area = πr²

Area = 3.14 x (5÷2)² = 19.625 cm²

Find the wasted area:

Area = 25 - 19.625 = 5.375  cm²

Answer: 5.375  cm²

Answer 2

$area \: of \: the \: circular \: sheet \: = \pi \: r ^{2} \\ area \: of \: the \: circular \: sheet \: \\ = 3.14 \times 2.5 \times 2.5 \\ = 19.625 \: cm ^{2} \\ area \: of \: the \: square \: \\ = 25 \: cm^{2} \\ area \: of \: the \: square \: wasted \: material \\ = 25 - 19.625 \\ = 5.375 \: cm ^{2} ans$

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